Burk Corporation's cash budget for May 2022 shows a deficiency of $124,000 compared to the minimum cash balance requirement of $2,000,000.
A cash budget is a tool used to forecast the company's inflows and outflows of cash for a specific period. The given data can be used to prepare the cash budget for Burk Corporation for the month of May 2022. We need to prepare a cash budget for the month of May 2022. To do so, we will first calculate the estimated sales for the month of May 2022.Sales for May 2022: $3,500,000
(Given)Collections: May Sales * 70% + April Sales * 30%($3,500,000 * 70%) + ($3,000,000 * 30%)= $2,550,000
Manufacturing costs for May 2022: $600,000 (Given)Payments:
May Manufacturing Costs - Depreciation * 90%($600,000 - $40,000) * 90% = $504,000
Selling and Administrative expenses for May 2022: $290,000 (Given)Payments:
May Selling and Administrative expenses - Insurance expenses($290,000 - $20,000) = $270,000
Dividend Payment for May 2022: $190,000 (Given)Interest Payment for May 2022: $30,000 (Given)
Total payments: $504,000 + $270,000 + $190,000 + $30,000 = $994,000
Loan Proceeds for May 2022: $150,000 (Given)The cash balance at the end of April 2022: $170,000 (Given)Based on the above data, we can prepare the cash budget for Burk Corporation for May 2022.
Therefore, the Cash budget for Burk Corporation for the month of May 2022 is shown below:
ParticularsAmount($)Collections 2,550,000Total Inflows 2,550,000Manufacturing Payments ($504,000) Selling and Administrative Payments($270,000)
Dividend Payment($190,000)Interest Payment($30,000)Total Payments($994,000)
Cash Balance at the end of May 20221,726,000Loan Proceeds 150,000
Cash Balance after Loan Proceeds 1,876,000
Minimum Cash Balance Requirement 2,000,000Excess/(Deficiency)(124,000)
The minimum cash balance requirement of Burk Corporation for May 2022 is $2,000,000.
The company has a deficiency of $124,000 as compared to its minimum cash balance requirement.
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points Save Answer Assume today's settlement price on a CME EUR futures contract is $1.3146/EUR. You have a short position in one contract. Your performance bond account currently has a balance of $1,700. The next day' settlement price is $1.3051. Calculate the balance of the account at the end of the day. (USD, no cents)
Today's settlement price on a CME EUR futures contract is $1.3146/EUR. You have a short position in one contract. Your performance bond account currently has a balance of $1,700. The next day's settlement price is $1.3051
.To find: Calculate the balance of the account at the end of the day solution:
Daily Price Limit of CME Euro FX futures contract
= $0.0050/EUR (Currency Futures)The price movement of the futures contract
= $1.3146/EUR - $1.3051/EUR
= $0.0095/
EURAs 1 Euro futures contract consists of 125,000 Euros,
thus Dollar value of 1 Euro = 1.3051 * 125,000
= $163,137.5
Dollar value of the short position = 163,137.5
The profit and loss per contract would be = 0.0095 * 125,000
= $1,187.5
As the short position was taken, it resulted in a profit:
Profit = 1,187.5 dollars
Therefore, new balance in the account will be the sum of old balance and profit
= $1,700 + $1,187.5 = $2887.5
Thus, the balance of the account at the end of the day is $2,887.5 (USD, no cents).
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Rianna is 60 years old. She purchased a deferred annuity for $40,000. The annuity will begin paying her $400 per month at age 65 for the rest of her life. At age 65 her expected return multiple is 20. In the year that she is 67 years old, how much of the annuity will be taxable? Select one: a. $0. b. $2,000. c. $2,800. d. $4,000.
Rianna purchased a deferred annuity for $40,000. The annuity will begin paying her $400 per month at age 65 for the rest of her life. At age 65 her expected return multiple is 20. In the year that she is 67 years old, how much of the annuity will be taxable.
GivenRianna is 60 years old.Purchased a deferred annuity for $40,000.Annuity will begin paying her $400 per month at age 65Expected return multiple is 20 at age 65To find: How much of the annuity will be taxable?SolutionThe amount of the annuity would be $400 per month, so over a year, she would receive:$400 * 12 = $4,800.Rianna is 67 years old, which is two years since the annuity started. Therefore, two years would have been paid out to Rianna before the start of the tax year.
She would have received:$400 * 24 = $9,600.In the year that Rianna is 67 years old, she would receive $4,800, but $9,600 would have already been received from the deferred annuity. Therefore, the taxable amount for the year when Rianna is 67 years old would be:$4,800 - $9,600/20 = $0. Thus, the answer is a. $0.
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.Carlos Cavalas, the manager of Echo Products' Brazilian Division, is trying to set the production schedule for the last quarter of the year. The Brazilian Division had planned to sell 69,960 units during the year, but by September 30 only the following activity had been reported.
Units
Inventory, January 1 0
Production 2,000
Sales 2,000
Inventory, September 30 400
The division can rent warehouse space to store up to 1,000 units. The minimum inventory level that the division should carry is 50 units. Mr. Cavalas is aware that production must be at least 200 units per quarter in order to retain a nucleus of key employees. Maximum production capacity is 1,500 units per quarter. Demand has been soft, and the sales forecast for the last quarter is only 600 units. Due to the nature of the division's operations, fixed manufacturing overhead is a major element of product cost.
Assume that the division is using variable costing. How many units should be scheduled for production during the last quarter of the year? (The basic formula for computing the required production for a period in a company is Expected sales + Desired ending inventory - Beginning inventory = Required production.) Show computations and explain your answer. Will the number of units scheduled for production affect the division's reported income or loss for the year? Explain.
Assume that the division is using absorption costing and that the divisional manager is given an annual bonus based on divisional operating income. If Mr. Cavalas wants to maximize his division's operating income for the year, how many units should be scheduled for production during the last quarter? (See the formula in 1 above.) Explain.
Identify the ethical issues involved in the decision Mr. Cavalas must make about the level of production for the last quarter of the year.
To determine the number of units that should be scheduled for production during the last quarter of the year, we can use the formula: Expected sales + Desired ending inventory - Beginning inventory = Required production.
Given information:
- Expected sales for the last quarter: 600 units
- Beginning inventory: 400 units
- Desired ending inventory: The minimum inventory level that should be carried is 50 units.
Using the formula, we can calculate the required production:
Required production = 600 + 50 - 400 = 250 units
Therefore, 250 units should be scheduled for production during the last quarter of the year.
The number of units scheduled for production will affect the division's reported income or loss for the year. In variable costing, fixed manufacturing overhead is not included in the product cost. Therefore, if more units are produced, the fixed manufacturing overhead cost will be spread over a larger number of units, resulting in lower per-unit fixed manufacturing overhead and potentially higher reported income. Conversely, if fewer units are produced, the fixed manufacturing overhead cost will be spread over a smaller number of units, resulting in higher per-unit fixed manufacturing overhead and potentially lower reported income.
If the division is using absorption costing and the divisional manager wants to maximize the division's operating income for the year, the number of units scheduled for production during the last quarter should be calculated based on the absorption costing formula: Expected sales + Desired ending inventory - Beginning inventory. This is because absorption costing includes fixed manufacturing overhead in the product cost. By producing more units, the fixed manufacturing overhead cost will be spread over a larger number of units, resulting in a lower per-unit fixed manufacturing overhead and potentially higher reported operating income.
The ethical issues involved in Mr. Cavalas' decision about the level of production for the last quarter include:
1. Reporting accuracy: Mr. Cavalas needs to ensure that the reported income or loss for the year is accurately represented, regardless of the costing method used.
2. Integrity and transparency: Mr. Cavalas should make decisions based on ethical principles, maintaining transparency and ensuring that stakeholders have access to accurate and reliable financial information.
3. Conflict of interest: As the divisional manager, Mr. Cavalas may face a conflict of interest if his decision on production levels is influenced by personal gain, such as maximizing his bonus, rather than acting in the best interest of the company and its stakeholders.
4. Compliance with accounting standards: Mr. Cavalas should ensure that the division's accounting practices comply with relevant accounting standards and regulations and that the decision on production levels does not violate any ethical or legal requirements.
Overall, Mr. Cavalas must make an ethical decision by considering the financial impact, stakeholder interests, and adherence to accounting standards while maintaining integrity and transparency in reporting.
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Many companies have switched from absorption costing to variable costing for internal reporting: Select one: a. to comply with external reporting requirements as required by GAAP b. to increase bonuses for managers c. so the denominator level is more accurate d. to reduce the undesirable incentive to build up inventories that would show higher operating income
Many companies have switched from absorption costing to variable costing for internal reporting to reduce the undesirable incentive to build up inventories that would show higher operating income.
The decision to switch from absorption costing to variable costing for internal reporting is often driven by the desire to eliminate the impact of fixed manufacturing overhead costs on inventory valuation. Under absorption costing, fixed manufacturing overhead costs are allocated to units produced and included in the cost of inventory. This means that as inventory levels increase, more fixed overhead costs are allocated and reported as part of the cost of goods sold.
By using variable costing, fixed manufacturing overhead costs are treated as period costs and are not allocated to units produced. This eliminates the incentive for managers to build up inventories to reduce reported operating income. Instead, variable costing focuses on the direct costs incurred to produce units, such as direct materials and direct labor.
The switch to variable costing provides a more accurate representation of the costs incurred by the company for internal reporting purposes. It helps align the reported costs with the actual costs incurred to produce the goods and allows for better analysis and decision-making based on the true cost structure of the company.
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Gus was recently laid off, and he is struggling to pay his bills and make ends meet. Gus is meeting with a staffing agency later in the week. As he prepares for the meeting, what should Gus say about his former company? Multiple Choice "I was able to learn from this experience. I now know what not to do in my next job." "I am so glad that job is over. I am surprised they were able to stay in business that long." "Whatever my next job is, please make it with a manager who cares about his employees and not just the bottom line." "My time there was time wasted. They kept us so isolated that we never even met the clients."
Out of the provided options, the most appropriate statement for Gus to say about his former company as he meets with the staffing agency would be "I was able to learn from this experience. I now know what not to do in my next job." The correct answer is option a.
This statement demonstrates a positive and reflective attitude on Gus's part. It indicates that he has taken lessons from his previous job and is using them to inform his future choices. It shows a willingness to grow and improve based on past experiences
. By emphasizing the learning aspect, Gus presents himself as someone who can adapt and make better decisions in his next job, which can be seen as a positive quality by the staffing agency.
The correct answer is option a.
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Complete question
Gus was recently laid off, and he is struggling to pay his bills and make ends meet. Gus is meeting with a staffing agency later in the week. As he prepares for the meeting, what should Gus say about his former company? Multiple Choice
a. "I was able to learn from this experience. I now know what not to do in my next job."
b. "I am so glad that job is over. I am surprised they were able to stay in business that long."
c. "Whatever my next job is, please make it with a manager who cares about his employees and not just the bottom line."
d. "My time there was time wasted. They kept us so isolated that we never even met the clients."
You are working as a researcher in an economic Institute, you want to study the relation between the Unit sales as a Dependent variable and the following independent variables (selling expenditure, advertising, competitive price) As shown in the following model Unit Sales += b0+b1 Exp + + b2 Adv t+ b3 comp + + Ut After collecting your data, and estimating your linear regression over the data, you got the following regression equation Unit Sales + = -10.5 0.51 Expt + 0.09 Adv t+ 3.05 b3 compt t- value (2.45) (-1.5) (4.2) (2.94) R² = 0.24 F- Value 0.33 " 1- What is the economic meaning of the coefficient b0 (-10.5 ) 2- Describe the meaning of R2 and its value, F - Value 3- What do you think about the Model as a whole, with F, R² values ....is it significant or not ....explain your answer
The economic meaning of the coefficient b0 (-10.5) is known as the intercept of the regression line, which is the point at which the line crosses the Y-axis when X=0.
In the economic interpretation, b0 represents the expected value of the dependent variable, that is Unit Sales, when the independent variables are 0. The coefficient b0 of -10.5, in this case, implies that when the independent variables (selling expenditure, advertising, competitive price) are zero, then the unit sales are expected to be -10.5 units. 2. The meaning of R² and its value, F - ValueR-squared (R²) is a statistical tool used to determine how close the data is to the fitted regression line. It is a statistical measure that represents the proportion of variation in the dependent variable that can be explained by the independent variables. The R-squared value ranges between 0 and 1, with a higher value indicating that the regression line fits the data well. In this case, the R-squared value of 0.24 means that only 24% of the variation in the unit sales can be explained by the independent variables.
The F-value is a statistical tool that tests the overall significance of the regression model. It is calculated by dividing the regression mean square by the residual mean square. In this case, the F-value of 0.33 is less than 1, which indicates that the regression model is not significant. 3. The significance of the Model as a whole. The model is not significant based on the F-value and R-squared value. This implies that there are other factors that influence unit sales that are not captured in the model. Thus, it would be essential to look for other variables or factors that affect unit sales and add them to the model to improve its accuracy and make it more significant.
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A person borrows the amount of $1,000 to be repaid in 5 years at an interest rate of 20% per year. How much would this person pay at the end of year 5?
At the end of year 5, the person would need to pay back the borrowed amount of $1,000 plus the interest accrued. The total payment at the end of year 5 will include both the principal amount and the accumulated interest.
To calculate the total payment at the end of year 5, we need to consider the interest rate and the duration of the loan. In this case, the person borrowed $1,000 at an interest rate of 20% per year for 5 years.
The interest accrued each year can be calculated by multiplying the principal amount by the interest rate. In this case, the annual interest is $1,000 multiplied by 20%, which equals $200. Since the loan lasts for 5 years, the total interest accrued over the 5-year period is $200 multiplied by 5, which equals $1,000.
Therefore, at the end of year 5, the person would need to pay back the initial borrowed amount of $1,000 plus the accumulated interest of $1,000, resulting in a total payment of $2,000. This payment includes both the repayment of the principal amount and the interest that has accrued over the 5-year period.
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Ahmed contributed cash of $20,000 into the partnership. The journal entry to record this transaction is: Cash $20,000 Dr: partnership $20,000 Cr
True
False
Sure. The journal entry to record Ahmed's contribution of cash into the partnership is ; Debit: Cash $20,000 Credit: Ahmed, Capital $20,000.
The debit to Cash increases the asset account Cash by $20,000. The credit to Ahmed, Capital increases the owner's equity account Ahmed, Capital by $20,000. This entry reflects the fact that Ahmed has contributed $20,000 of cash to the partnership, which has increased the partnership's assets and equity. The journal entry you provided is incorrect because it credits Partnership instead of Ahmed, Capital. Partnership is a general ledger account that represents the total assets and liabilities of the partnership. Ahmed, Capital is a specific ledger account that represents Ahmed's ownership interest in the partnership.
Here is a breakdown of the journal entry:
Debit: Cash $20,000
This entry increases the asset account Cash by $20,000.
Credit: Ahmed, Capital $20,000
This entry increases the owner's equity account Ahmed, Capital by $20,000.
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Sunscreen and beach towels are complementary goods. If the price of sunscreen increases, ceteris paribus, _____.(1 point)
1. the income of consumers will decrease the income of consumers will decrease
2. the quantity demanded of beach towels will increase for every possible price
3. the quantity demanded of beach towels will decrease for every possible price(I think it is this one)
4.the income of consumers will increase
Sunscreen and beach towels are complementary goods. If the price of sunscreen increases, ceteris paribus, the quantity demanded of beach towels will decrease for every possible price.
Complementary goods are products or services that people use together. For example, automobiles and gasoline, as well as hot dogs and buns, are complementary goods. When two or more goods are complementary, an increase or decrease in the price of one will result in an opposite movement in the demand for the other good.
Given that sunscreen and beach towels are complementary goods. Thus, if the price of sunscreen increases, the quantity demanded of beach towels will decrease for every possible price. The key here is that the increase in the price of sunscreen, with all other things constant, causes the quantity demanded of beach towels to fall. This is because the two goods are complementary; sunscreen is usually used with beach towels.The price of sunscreen has a direct effect on the demand for beach towels, but not the other way around. This is why option 3, which states that the quantity demanded of beach towels will decrease for every possible price, is the correct answer. The demand curve for beach towels shifts to the left, indicating that people demand less of it at every possible price as a result of the increase in sunscreen prices.
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1. Explicit and Implicit Costs Juan and Julia contributed $50,000 of their own money to the company They bought equipment for $3,000 They hired an employee with a salary of $20,000 Juan quit his job where he earned $30,000 Julia quit part of her job where she earned $15,000 · Purchases of materials for the business were $10,000 · At the end of the year the value of the equipment is $28,000 · A business loan of $100,000 pays 6% annual interest The normal profit based on the above data from running the business is $30,000. True or false?
Explicit and Implicit Costs The normal profit based on the given data from running the business is $30,000. False.An explicit cost is the money that the business spends, which includes the wages paid to employees, the rent, and the cost of supplies.
When the business purchases a new piece of equipment or hires a new employee, this is a clear cost that is easily measured and accounted for. The implicit cost is a little more complicated. It is a cost that a company pays but that is not explicitly stated in the business records. When a company uses its own funds to purchase equipment or pay salaries, it incurs implicit costs.
The normal profit based on the above data from running the business is $30,000. False, it is a loss as we can calculate it as follows:
Total explicit costs = $50,000 + $3,000 + $20,000 + $10,000 + $6,000 (interest expense) = $89,000 Total implicit costs = $30,000 + $15,000 + $30,000 = $75,000Total revenue = $0Therefore, normal profit = Total Revenue - Total Explicit Costs - Total Implicit Costs = $0 - $89,000 - $75,000 = ($164,000)
This means that the company is operating at a loss of $164,000.
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Please show all your work and answer the questions for full marks.
A small business owner is contemplating the addition of another product line. Capacity increases and equipment will result in an increase in annual fixed costs of $50,000. Variable costs will be $25 per unit.
(i) What unit selling price must the owner obtain to break-even on a volume of 2,500 units a year?
(ii) Because of market conditions, the owner feels a revenue of $47 is preferred to the value determined in part a. What volume of output will be required to achieve a profit of $16,000 using this revenue?
The volume of output required to achieve a profit of $16,000 using a revenue of $47 is approximately 2,200 units.
(i) The Break-Even Point (BEP) in units can be determined using the following formula:
BEP (in units) = Fixed costs / (Price per unit - Variable costs per unit)
Given,
Fixed cost increase = $50,000
Variable cost = $25 per unit
BEP (in units) = $50,000 / ($P - $25) = 2,500 units
Therefore, $P - $25 = $20
Thus, selling price per unit required to break-even on a volume of 2,500 units a year is
$P = $20 + $25 = $45.
(ii) In order to calculate the required output volume, we use the following formula:
Target profit = (Price per unit - Variable cost per unit) × Volume - Fixed costs
Given,
Price per unit = $47
Variable cost per unit = $25
Fixed costs = $50,000
Target profit = $16,000
Putting the values in the formula, we get:
$16,000 = ($47 - $25) × Volume - $50,000
Thus, ($47 - $25) × Volume = $66,000
Therefore, the required volume of output to achieve a profit of $16,000 using a revenue of $47 is
Volume = $66,000 / ($47 - $25) = 2,200 units (approx.).
Thus, the volume of output required to achieve a profit of $16,000 using a revenue of $47 is approximately 2,200 units.
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Regarding the 4 risk response strategies – Avoidance, Mitigation, Transference, Acceptance,
a. Which strategy should not be applied for high-ranking risks, and why? (2 marks)
b. Which strategy may not be applied if the root causes are not known, and why? (2 marks)
c. Suppose ‘inexperienced project manager’ is a risk in a particular project. To cater to this risk, one possible action is to replace the project manager with a more experienced person. Briefly explain which risk response strategy you are applying? (3 marks)
d. Suppose replacing the project manager is not possible, describe another action plan based on a different risk response strategy to the one in (c). (3 marks)
The strategy that should not be applied for high-ranking risks is avoidance. The strategy that may not be applied if the root causes are not known is mitigation. The risk response strategy that is being applied is Transference. Another action plan that could be applied is Acceptance.
a. The strategy that should not be applied for high-ranking risks is avoidance. Because it is not possible to completely avoid or eliminate high-ranking risks, it is better to focus on managing and mitigating them.
b. The strategy that may not be applied if the root causes are not known is mitigation. This is because mitigation requires identifying the root causes of the risk and developing a plan to reduce its impact or probability. Without knowledge of the root causes, mitigation may not be effective.
c. If ‘inexperienced project manager’ is a risk in a particular project, and to cater to this risk, one possible action is to replace the project manager with a more experienced person, the risk response strategy that is being applied is Transference. In this case, the risk is being transferred to a third party or outside entity (i.e., the new project manager).
d. Suppose replacing the project manager is not possible. In that case, another action plan based on a different risk response strategy that could be applied is Acceptance. The project manager can accept the risk and work to minimize its impact by implementing contingency plans or backup procedures to reduce the consequences if the risk does occur.
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If the automobile industry decided to move to online sales, what distribution network they might use and why they would use your choice (Provide examples of benefits, opportunities, and challenges).
If the automobile industry decided to move to online sales, one distribution network they might use is a combination of centralized distribution centers and a direct-to-consumer model.
This approach would involve establishing a network of regional or national distribution centers strategically located to efficiently serve customers across different areas. Here are some benefits, opportunities, and challenges associated with this distribution network:
Benefits:
Cost savings: By eliminating the need for physical dealerships and reducing inventory holding costs, online sales can lead to significant cost savings for automakers.
Improved customer experience: Online sales offer convenience and a seamless purchasing process, allowing customers to browse and buy vehicles from the comfort of their homes.
Expanded reach: With an online distribution network, automakers can reach customers in remote areas where traditional dealerships may be limited.
Opportunities:
Customization and personalization: Online sales platforms can offer interactive tools for customers to customize their vehicles, enhancing the buying experience.
Data-driven insights: With online sales, automakers can gather valuable customer data and insights, enabling targeted marketing and personalized offerings.
Challenges:
Test drives and inspections: Overcoming the challenge of customers not being able to physically test drive or inspect vehicles before purchase. Solutions such as offering home test drives or virtual reality experiences may be explored.
Service and support: Ensuring efficient after-sales service, including maintenance, repairs, and warranty support, in the absence of physical dealerships.
Overall, the combination of centralized distribution centers and a direct-to-consumer model in online sales offers cost savings, improved customer experience, expanded reach, customization opportunities, and data-driven insights. However, challenges related to test drives, inspections, and service/support need to be addressed to ensure customer satisfaction and maintain trust in the online buying process.
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You have the following investment opportunities with an initial investment outlay of R375 000.00: Interest rate Investment A 11.86% Investment B 14.06% Investment C 11.25% Investment D 10.00% REQUIRED: Normal view Formula view Year 0 375 000 375 000 375 000 375 000 Year 1 Year 2 Year 3 - Year 4 the above in an Excel workbook and calculate the future value of each of the investment opportunities by making use of Excel formulas. Give your answer in: 100,000 100,000 100,000 100,000 22,500 100,000 37,500 15,000 150,000 100,000 37,500 100,000 (4 marks) (4 marks) Based on the calculations, which will be the best investment opportunity and why? (2 marks)
It outperforms the other investment opportunities due to its higher interest rate of 14.06%. Therefore, investing in Investment B would yield the best returns compared to the other options.
Based on the provided information, the best investment opportunity would be Investment B with an interest rate of 14.06%. Here's the step-by-step explanation:
1. Calculate the future value of Investment A:
- Year 1: 375,000 + (375,000 * 11.86%) = 420,975
- Year 2: 420,975 + (420,975 * 11.86%) = 470,985.57
- Year 3: 470,985.57 + (470,985.57 * 11.86%) = 525,812.79
- Year 4: 525,812.79 + (525,812.79 * 11.86%) = 585,897.58
2. Calculate the future value of Investment B:
- Year 1: 375,000 + (375,000 * 14.06%) = 428,625
- Year 2: 428,625 + (428,625 * 14.06%) = 489,145.88
- Year 3: 489,145.88 + (489,145.88 * 14.06%) = 556,900.24
- Year 4: 556,900.24 + (556,900.24 * 14.06%) = 632,636.46
3. Calculate the future value of Investment C:
- Year 1: 375,000 + (375,000 * 11.25%) = 417,187.50
- Year 2: 417,187.50 + (417,187.50 * 11.25%) = 464,990.63
- Year 3: 464,990.63 + (464,990.63 * 11.25%) = 519,238.07
- Year 4: 519,238.07 + (519,238.07 * 11.25%) = 580,436.88
4. Calculate the future value of Investment D:
- Year 1: 375,000 + (375,000 * 10.00%) = 412,500
- Year 2: 412,500 + (412,500 * 10.00%) = 453,750
- Year 3: 453,750 + (453,750 * 10.00%) = 499,125
- Year 4: 499,125 + (499,125 * 10.00%) = 548,037.50
Based on these calculations, Investment B has the highest future value after four years, reaching R632,636.46.
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A project has an initial cost of $7.900 and cash inflows of $2,100, $3,140, $3,800, and $4,500 per year over he next four years, respectively. What is the payback period? 3.70 years 2.28 years 2.70 years 3.36 years 3.28 years
The payback period of a project is the amount of time it takes to recoup the initial investment or cost of the project. To find out the payback period, divide the initial cost by the annual cash inflows until you have recovered the initial cost.
What is the payback period?
To find out the payback period, we divide the initial cost by the annual cash inflows until the initial cost is recovered. To find the payback period, we use the following formula:Payback period = Initial cost / Annual cash inflowYear 1 cash inflow = $2,100Year 2 cash inflow = $3,140Year 3 cash inflow = $3,800Year 4 cash inflow = $4,500Initial cost = $7,900When we divide the initial cost by the annual cash inflow for each year until the initial cost is recovered, we get:Year 1: $7,900 - $2,100 = $5,800Year 2: $5,800 - $3,140 = $2,660Year 3: $2,660 - $3,800 = -$1,140The third year cash inflow is less than the remaining cost, so we need to use a weighted average to estimate the payback period.WA = Year 3 cash flow / Year 3 - Year 2 cash flowWA = -$1,140 / $3,800 - $3,140WA = -$1,140 / $660WA = -1.727We can estimate that it will take approximately 2.727 years to recover the initial investment using the weighted average. Hence, the correct answer is 2.70 years.
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If variable costs increase by 5% without a corresponding increase in selling price, the number of units needed to breakeven will A) remain the same B) increase C) decreasé D) cannot be determined
The correct answer is B) increase. If variable costs increase by 5% without a corresponding increase in the selling price, it means that the cost per unit of producing the product has increased.
To breakeven, the revenue generated from selling the product must cover both fixed costs and variable costs. With an increase in variable costs, more units need to be sold to generate enough revenue to cover the higher costs.
Therefore, the number of units needed to breakeven will increase.
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Please answer only 3 of the following 5 questions in short paragraphs, between 250-500 words for each question. The questions cover material from chapters 11, 13, 14 and 15. 1. Because it is worried about inflation in the near term, the government has decided to restrict aggregate demand. Which tool of fiscal policy (or combination) do you believe it should use: government purchases, taxes, or transfers? Why? a. | 2. The president has just retained you to advise him on whether to change government fiscal policy. You understand that any change in spending or taxation that the administration proposes will have to be considered for a number of months by Congress, and then that the full impact of the policy change on the economy will not occur until several months after it is enacted. Under these circumstances, what is your advice? 3. The Fed has three conventional tools that it can use to change the money supply under normal economic conditions: open-market operations, changes in the banks' required reserve ratio, and changes in policies regarding lending to member banks. Which do you think is the most useful, the least useful? Does the Fed really need three tools-wouldn't one do just as well? 4. What should government do to avoid another Great Recession like the last one during 2007-09 period? What policies have been undertaken? Are they adequate? 5. Do you think monetary or fiscal policy is likely to be the more effective tool of stabilization policy? Why?
As the government is worried about inflation in the near term, the use of which tool of fiscal policy or combination should it use: government purchases, taxes, or transfers? Why?The tool of fiscal policy the government should use depends on the state of the economy.
Suppose the economy is booming and inflation is increasing, a restriction in aggregate demand will be a good policy. This means that the government should reduce the amount of money in circulation by increasing taxes or reduce transfer payments. This policy will decrease the disposable income of people.
On the other hand, if the economy is in a recession, and aggregate demand is low, the government should increase its spending or reduce taxes to stimulate the economyUnder the given circumstance, my advice to the president would be that it is not wise to make changes in the government fiscal policy immediately.
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Your company, (insert a company name of your choice here), is considering an opportunity to develop and introduce a new product which will trick kids into eating healthy at breakfast. The product is a breakfast "treat" which is actually made from all healthy ingredients and contains no added sugar…..and it tastes good. Based on your superior knowledge of the market, you think that this product line will last a minimum of 5 years before the kids catch on and start eating sugar-coated sugar cubes again for breakfast (when I was a kid, there was actually a cereal called Super Sugar Crisp).
Getting up and running will cost the company $1,000,000 for capital equipment; there was an additional $400,000 for development expenses. The equipment is expected to have a useful life of 5 years (what a coincidence). The expected sales volumes are:
Year 1: 400,000
Year 2: 700,000
Year 3: 900,000
Year 4: 850,000
Year 5: 600,000
Your assignment is to figure out if this is a good idea and, of course, maximize your wealth.
A few facts:
Unit cost is $1.250
Profit margin is 37% on sell price
Corporate income tax rate is 25.8%
The company’s cost of debt is 8%
You will finance the entire $1,000,000 but you do have it in cash if required; the financing will be at 9% and only 1 payment per year (5 total payments) for simplicity.
A few questions
Is this a worthwhile program to invest in?
What assumptions did you make?
Are there any alternatives at the end of 5 years?
Please use excel and explain the steps (Where numbers are coming from and which formulas are used in each step)
To evaluate the investment in the new breakfast product, let's calculate the net present value (NPV) and internal rate of return (IRR) using Excel.
First, we need to calculate the annual cash flows for each year, taking into account the sales volumes, unit cost, profit margin, and tax rate.
Year 1: 400,000 * ($1.25 * 0.37) * (1 - 0.258) = $69,860
Year 2: 700,000 * ($1.25 * 0.37) * (1 - 0.258) = $122,401
Year 3: 900,000 * ($1.25 * 0.37) * (1 - 0.258) = $157,738
Year 4: 850,000 * ($1.25 * 0.37) * (1 - 0.258) = $149,457
Year 5: 600,000 * ($1.25 * 0.37) * (1 - 0.258) = $105,328
Next, we need to calculate the annual cash flows for the capital equipment and development expenses. Since these costs occur at the beginning, they will be considered as cash outflows (negative values) in year 0.
Year 0: -$1,000,000 - $400,000 = -$1,400,000
Now, let's calculate the discounted cash flows using the company's cost of debt (8%) as the discount rate.
Year 0: -$1,400,000 / (1 + 0.08)^0 = -$1,400,000
Year 1: $69,860 / (1 + 0.08)^1 = $64,643
Year 2: $122,401 / (1 + 0.08)^2 = $106,997
Year 3: $157,738 / (1 + 0.08)^3 = $127,238
Year 4: $149,457 / (1 + 0.08)^4 = $113,149
Year 5: $105,328 / (1 + 0.08)^5 = $79,150
To calculate the NPV, sum up all the discounted cash flows:
NPV = -$1,400,000 + $64,643 + $106,997 + $127,238 + $113,149 + $79,150
NPV = -$908,823
To calculate the IRR, use the IRR function in Excel on the cash flows:
IRR = 14.3%
Based on the NPV of -$908,823 and the IRR of 14.3%, this investment does not appear to be worthwhile. The negative NPV suggests that the project's cash flows are not sufficient to cover the initial investment and generate a positive return. The IRR of 14.3% is lower than the cost of debt (8%), indicating that the project's rate of return is not attractive compared to alternative investment options.
Assumptions made include the accuracy of sales volume projections, constant unit cost and profit margin, stable tax rates, and the discount rate based on the cost of debt.
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When a floor manager empowers this team members, his power:
a. multiplies in direct proportion to the number of people receiving a power share.
b. increases.
c. remains approximately the same.
d. decreases.
When a floor manager empowers his team members, his power "increases", hence option b is correct.
To empower someone means to give them the power, authority, or confidence to do something, this process is known as empowerment. In a workplace context, this means allowing employees to make decisions, take ownership of tasks, and work autonomously to achieve team goals. A floor manager, or floor supervisor, is responsible for overseeing the day-to-day operations of a specific area of a business, such as a department or floor. Part of their role is to empower team members to work independently and collaboratively to achieve their goals. By empowering team members, a floor manager can create a more efficient and effective team. This can lead to higher morale, increased productivity, and better results for the business as a whole. Additionally, when team members feel empowered, they are more likely to take ownership of their work and be more invested in the success of the team and the business as a whole.Therefore, when a floor manager empowers his team members, his power increases.
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Uber - Riding the Gig Economy 1. Apply the five steps of the Planning Process to Uber's development of it's app-driven online cab service. 2. Outline the Strategic, Tactical and Functional plans Uber has concerning its new self-driving car program. Show at least one plus and one minus within each of the plans. 3. Plans rarely absolutely go to plan! It is impossible as variables in the environment keep changing and impact the company in different ways. What planning tools might Uber use to deal with some of the unexpected issues Uber has faced with its online cab business model. 4. How might Uber use Management by Objectives to work with municipalities and provinces to create the infrastructure and legislation needed to achieve its self-driving car goals?
Applying the five steps of the Planning Process to Uber's development of its app-driven online cab service involved establishing objectives, such as creating a convenient ride-hailing service.
They developed premises, recognizing the potential demand and technological advancements. Uber generated alternative courses of action, exploring driver recruitment and pricing models. They evaluated alternatives, considering market size and regulatory challenges. Finally, they selected the best alternative and implemented it by launching their app-based service.
Uber's strategic plan for self-driving cars involves disruption and increased safety, but potential job losses and regulatory challenges are drawbacks. Their tactical plan includes testing, partnerships, and pilot programs, with benefits of innovation and concerns of public skepticism. The functional plan focuses on hiring skilled personnel and building infrastructure, with advantages of attracting talent and challenges of high costs.
Planning tools Uber could employ to address unexpected issues include scenario planning to anticipate disruptions, contingency planning to mitigate impacts, and risk management to identify and manage risks and uncertainties.
Using Management by Objectives, Uber can work with municipalities and provinces by setting clear objectives, establishing performance metrics, fostering communication, and adapting objectives as needed to achieve self-driving car goals. This approach facilitates collaboration and alignment with government entities.
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You are the manager of a large crude-oil refinery. As part of the refining process, a certain heat exchanger (operated at high temperatures and with abrasive material flowing through it) must be replaced every year. The replacement and downtime cost in the first year is $175,000. This cost is expected to increase due to inflation at a rate of 8% for five years, at which time this particular heat exchanger will no longer be needed. If the company's cost of capital is 18% per year, how much could you afford to spend for a higher quality heat exchanger so that these annual replacement and downtime costs could be eliminated?
Answer:
The company could afford to spend up to $121,701.52 for a higher quality heat exchanger.
Explanation:
To determine the affordability of a higher quality heat exchanger, we need to calculate the present value of the annual replacement and downtime costs and compare it to the cost of the higher quality heat exchanger.
Given that the replacement and downtime cost in the first year is $175,000 and it is expected to increase at a rate of 8% per year for five years, we can calculate the total replacement and downtime costs over the five-year period using the formula for the future value of a growing annuity:
Future Value = Cost in Year 1 * (1 + Growth Rate)^Number of Years
Future Value = $175,000 * (1 + 0.08)^5 = $271,566.40
Next, we need to calculate the present value of the future replacement and downtime costs by discounting the future value at the company's cost of capital. The formula for the present value of a future cash flow is:
Present Value = Future Value / (1 + Discount Rate)^Number of Years
Present Value = $271,566.40 / (1 + 0.18)^5 = $121,701.52
Therefore, the company could afford to spend up to $121,701.52 for a higher quality heat exchanger so that the annual replacement and downtime costs could be eliminated.
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ABC Company owns a bookstore and has to decide how many copies to order of a new book. The book’s retail price is 30 TL and the wholesale price is 22 TL. The publisher will buy back the retailer’s leftover copies at a full refund but the bookstore incurs a 4 TL in shipping and handling costs for each book returned to the publisher. The demand forecast can be represented by a normal distribution with a mean 250 and standard deviation 85.
a) The company will consider this book to sell more than 450 units. What is the probability of such amount of selling ?
b) The company believes that there is also a probability of selling the book less than 55 percent of the mean forecast. What is the probability of such amount of selling?
c) What order quantity maximizes the company’s expected profit?
d) Suppose that the company orders 250 copies of the book. What would be the fill rate?
Please clearly explain each process step by step in the solution.
(a) The probability of selling more than 450 units is approximately 0.0228 or 2.28%.
(b) The probability of selling less than 55% of the mean forecast is approximately 0.0926 or 9.26%.
(c) The order quantity with the highest expected profit would be the optimal choice.
(d) The unfilled demand would be 1 - 0.5 = 0.5 or 50%. The fill rate would be (1 - 0.5) * 100 = 50%.
a) To calculate the probability of selling more than 450 units, find the area under the normal distribution curve to the right of 450.
First, standardize the value 450 using the mean and standard deviation given:
Standardized value = (450 - mean) / standard deviation
Standardized value = (450 - 250) / 85
Standardized value = 2
Next, find the cumulative probability to the left of this standardized value using a standard normal distribution table or a statistical calculator. The cumulative probability to the left of 2 is approximately 0.9772.
Finally, subtract this cumulative probability from 1 to find the probability to the right of 450:
Probability = 1 - 0.9772
Probability = 0.0228
Therefore, the probability of selling more than 450 units is approximately 0.0228 or 2.28%.
b) To calculate the probability of selling less than 55% of the mean forecast, find the area under the normal distribution curve to the left of this value.
First, calculate 55% of the mean forecast:
55% of 250 = 0.55 * 250 = 137.5
Next, standardize this value using the mean and standard deviation:
Standardized value = (137.5 - mean) / standard deviation
Standardized value = (137.5 - 250) / 85
Standardized value = -1.3294
Using a standard normal distribution table or a statistical calculator, we find the cumulative probability to the left of -1.3294, which is approximately 0.0926.
Therefore, the probability of selling less than 55% of the mean forecast is approximately 0.0926 or 9.26%.
c) To determine the order quantity that maximizes the company's expected profit, consider the profit for each possible order quantity.
Let's denote the order quantity as Q. The demand follows a normal distribution with a mean of 250 and a standard deviation of 85. The profit can be calculated as follows:
Profit = (Revenue - Cost) * Quantity
Revenue = Retail Price * Min(Demand, Quantity)
Cost = Wholesale Price * Quantity + Shipping and Handling Costs * Max(0, Quantity - Demand)
To find the order quantity that maximizes the expected profit, we calculate the profit for different order quantities and choose the one with the highest expected profit.
Let's calculate the expected profit for different order quantities:
Order Quantity: 0
Profit = (30 - 22) * 0 - 4 * Max(0, 0 - 250)
= -4 * 250
= -1000
Order Quantity: 1
Profit = (30 - 22) * 1 - 4 * Max(0, 1 - 250)
= 8 - 4 * 249
= -988
Order Quantity: 2
Profit = (30 - 22) * 2 - 4 * Max(0, 2 - 250)
= 16 - 4 * 248
= -984
...
Continue calculating the profit for different order quantities until a pattern emerges.
By calculating the profit for different order quantities, you can identify the order quantity that maximizes the expected profit. The order quantity with the highest expected profit would be the optimal choice.
d) The fill rate is the percentage of demand that is satisfied by the available stock. To calculate the fill rate, we compare the demand with the available stock.
If the company ordered 250 copies of the book and the demand follows a normal distribution with a mean of 250 and a standard deviation of 85, we can calculate the fill rate as follows:
1. Calculate the z-score for the demand of 250 copies:
z-score = (250 - mean) / standard deviation
= (250 - 250) / 85
= 0
2. Using a standard normal distribution table or a statistical calculator, find the cumulative probability to the left of the z-score of 0. This gives us the proportion of demand that is below or equal to 250.
3. Subtract the cumulative probability from 1 to find the proportion of demand that is above 250. This represents the unfilled demand.
4. Calculate the fill rate by subtracting the unfilled demand from 1 and multiplying by 100 to get the percentage:
Fill rate = (1 - Unfilled demand) * 100
For example, if the cumulative probability to the left of the z-score of 0 is 0.5, it means that 50% of the demand is below or equal to 250. Therefore, the unfilled demand would be 1 - 0.5 = 0.5 or 50%. The fill rate would be (1 - 0.5) * 100 = 50%.
Remember to calculate the cumulative probability and fill rate using the actual values from the standard normal distribution table or a statistical calculator for a z-score of 0.
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.Whitman Company has just completed its first year of operations. The company's absorption costing income statement for the year appears below:
Whitman Company Income Statement Sales (39,000 units x $40.60 per unit) $1,542,800
Cost of goods sold (38,000 units x $24 per unit) 912,000
Gross margin 630,800
Selling and administrative expenses 437,000
Net operating income $193,800
The company's selling and administrative expenses consist of $285,000 per year in fixed expenses and $4 per unit sold in variable expenses. The $24 per unit product cost given above is computed as follows:
Direct materials $11
Direct labor 5
Variable manufacturing overhead 3
Fixed manufacturing overhead ($240,000 x 48,000 units) 5
Absorption costing unit product cost $24
1. Prepare the company's income statement in the contribution format using variable costing.
2. Reconcile any difference between the net operating income on your variable costing income statement and the net operating income on the absorption costing income statement.
1. Whitman Company Income Statement (Variable Costing)
Sales: (39,000 units x $40.60 per unit) $1,542,800
Variable Expenses:
- Direct materials: (39,000 units x $11 per unit) $429,000
- Direct labor: (39,000 units x $5 per unit) $195,000
- Variable manufacturing overhead: (39,000 units x $3 per unit) $117,000
- Variable selling and administrative expenses: (39,000 units x $4 per unit) $156,000
Total Variable Expenses: $897,000
Contribution Margin: $1,542,800 - $897,000 = $645,800
Fixed Expenses:
- Fixed manufacturing overhead: $240,000
- Fixed selling and administrative expenses: $285,000
Total Fixed Expenses: $525,000
Net Operating Income: $645,800 - $525,000 = $120,800
2. Reconciliation of Net Operating Income:
Absorption Costing Net Operating Income: $193,800
Variable Costing Net Operating Income: $120,800
Difference = Absorption Costing Net Operating Income - Variable Costing Net Operating Income
= $193,800 - $120,800
= $73,000
The difference of $73,000 represents the increase in net operating income under absorption costing compared to variable costing. This difference is due to the fixed manufacturing overhead being absorbed into the product cost under absorption costing. Since the company produced more units (39,000) than it sold (38,000), the fixed manufacturing overhead allocated to each unit is higher, resulting in a higher product cost and higher net operating income under absorption costing.
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"i’ve been at my job for four days, and i’ve already met all my coworkers!" amber says. which type of business does ember most likely work for?
Based on Amber's statement, it is likely that she works for a small-sized business or a company with a limited number of employees.
In larger organizations, it is generally challenging to meet and become acquainted with all coworkers within just four days, as there are typically numerous departments, teams, and employees spread across different locations or floors.
In a small business or a startup, with a smaller workforce, it is more feasible to interact with and get to know everyone in a short period. The close-knit environment of such organizations often allows for easier and quicker integration into the team.
However, it's important to note that the context provided is limited, and there could be other factors at play. It's always advisable to gather more information to make a more accurate determination about the type of business Amber works for.
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On September 1, 2013 Apex Corp. issued 25,000 shares of $0.50 par value common stock for $1.25 per share.
Record the stock issue in general journal form.
On August 15, 2013 Troy Ellison accepted 1,500 shares of $2.50 par common stock at par value for legal services he provided in the formation of XYZ Corp.
Make the journal entry to record the transaction.
On May 12, 2012 Wiley Corporation declared a $75,000 cash dividend on its common stock. The dividend is to be paid on July 1, 2012.
Prepare the journal entries to record the transaction on May 12th & July 1st.
Journal entry for stock issue: Date Accounts Debit Credit Sep 1, 2013Cash 31250 ($1.25 × 25,000) Common Stock 12500 ($0.50 × 25,000) Premium on Common Stock 18750Explanation:Issuing stock for more than the par value generates the premium on the common stock.
Journal entry for accepting shares: Date Accounts Debit Credit Aug 15, 2013Legal Services Expense 3750 ($2.50 × 1,500) Common Stock 3750Explanation:Troy Ellison accepted 1,500 shares of $2.50 par common stock at par value for legal services he provided in the formation of XYZ Corp. The journal entry for accepting 1,500 shares of $2.50 par common stock at par value is recorded as shown above.
Journal entry for the declaration of cash dividend: Date Accounts Debit Credit May 12, 2012Retained Earnings 75,000 Dividends Payable 75,000July 1, 2012Dividends Payable 75,000 Cash 75,000 On May 12, 2012, Wiley Corporation declared a $75,000 cash dividend on its common stock.
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Based on past experience, a bank believes that 12% of the people who receive loans will not make payments on time. The bank has recently approved 500 loans. Answer the following questions. a) What are the mean and standard deviation of the proportion of clients in this group who may not make timely payments? + (O) = 0.12 SD (P) = 0.015 (Round to three decimal places as needed.) b) What assumptions underlie your model? Are the conditions met? A. With reasonable assumptions about the sample, all the conditions are met. OB. The 10% condition is not met. O C. The randomization and success/failure conditions are not met. OD. The success/failure condition is not met. O E. The randomization condition is not met. Based on past experience, a bank believes that 12% of the people who receive loans will not make payments on time. The bank has recently approved 500 loans. Answer the following questions. Tuo Turuvimicurvu unu vuvvvvurunur vonUILIVIT un Tum OD. The success/failure condition is not met. O E. The randomization condition is not met. OF. The randomization and 10% conditions are not met. O G. The 10% and success/failure conditions are not met. O H. Without unreasonable assumptions, none of the conditions are met. c) What is the probability that over 13% of these clients will not make timely payments? plô>0.13) =((Round to three decimal places as needed.)
a) Which is 0.12. The standard deviation of the proportion can be calculated using the formula: SD(P) = sqrt(p * (1 - p) / n), We get SD(P) = sqrt(0.12 * (1 - 0.12) / 500) ≈ 0.015 .
b) We do not have information about randomization or the 10% condition. Therefore, option D is the most appropriate answer: "The success/failure condition is not met."
c) To calculate the probability that over 13% of clients will not make timely payments, we need to use the normal distribution approximation. We can use the z-score formula: z = (x - μ) / σ,
z = (0.13 - 0.12) / 0.015 ≈ 6.67.
The probability can be obtained by finding the area under the normal curve to the right of the z-score, which is essentially 1 minus the cumulative probability.
Probability is a measure of the likelihood or chance of an event occurring. It quantifies the degree of uncertainty associated with an outcome. Probability values range from 0 to 1, where 0 represents an impossible event and 1 represents a certain event. Probability allows us to make informed predictions and decisions based on the likelihood of different outcomes in a given situation.
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Demand for a certain product is forecast to be 851 annually. The product follows a seasonal pattern, for which the January monthly index is 0.64. What is the seasonally-adjusted sales forecast for January?
To calculate the seasonally-adjusted sales forecast for January, we need to multiply the annual demand forecast by the corresponding seasonal index for January.
Given that the annual demand forecast is 851 and the January monthly index is 0.64, we can calculate the seasonally-adjusted sales forecast for January as follows:
Seasonally-adjusted sales forecast for January = Annual demand forecast * January monthly index
= 851 * 0.64
= 544.64
Therefore, the seasonally-adjusted sales forecast for January is 544.64 units.
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Redesigning jobs is a way for organizations to manage situations where workers are being paid more than they are contributing in terms of long-term productivity. True False
False. Redesigning jobs is not solely aimed at managing situations where workers are being paid more than they are contributing in terms of long-term productivity.
While job redesign can be a strategy to optimize productivity and align compensation with performance, its purpose goes beyond just addressing overpayment issues. Job redesign involves making changes to the tasks, responsibilities, and structure of a job to enhance job satisfaction, employee engagement, and overall performance. It may include factors such as task variety, autonomy, skill development, and meaningfulness of work. The goal is to create a better fit between the job and the individual, leading to improved productivity and employee well-being. Compensation management, on the other hand, deals specifically with aligning pay with performance and market rates.
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Wildhorse Company purchased a delivery truck for $40,000 on July 1, 2022. The truck has an expected salvage value of $4,000, and is expected to be driven 100,000 miles over its estimated useful life of 8 years. Actual miles driven were 15,000 in 2022 and 12,000 in 2023. Wildhorse uses the straight-line method of depreciation. (a) Your answer is partially correct. Compute depreciation expense for 2022 and 2023. Depreciation Expense 2022 2023 Straight-line method $ $ $ 4500 Prepare the journal entry to record 2022 depreciation. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry for the account titles and enter for the amounts.) Account Titles and Explanation Debit Credit Prepare the journal entry to record 2023 depreciation. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry for the account titles and enter for the amounts.) Account Titles and Explanation Debit Credit Show how the truck would be reported in the December 31, 2023, balance sheet. WILDHORSE COMPANY Partial Balance Sheet
To calculate the depreciation expense for 2022 and 2023, we will use the straight-line method:
(a) Depreciation Expense for 2022:
Depreciation Expense 2022 = ($40,000 - $4,000) / 8
(b) Depreciation Expense for 2023:
Depreciation Expense 2023 = ($40,000 - $4,000) / 8
Now let's prepare the journal entries for recording the depreciation expense:
(a) Journal entry to record 2022 depreciation:
Date: December 31, 2022
Account Titles and Explanation Debit Credit
Depreciation Expense $4,500
Accumulated Depreciation - Truck $4,500
(Record the depreciation expense for 2022)
(b) Journal entry to record 2023 depreciation:
Date: December 31, 2023
WILDHORSE COMPANY
Partial Balance Sheet
As of December 31, 2023
Asset:
Truck $31,000
Less: Accumulated Depreciation ($4,500)
Net Truck $26,500
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Y = (AN)aKbEy. (Where Y = GDP, A = technology, K = capital, N = labor, E = energy and a = b = y = 1/3 )
1) Use the growth accounting equation (by taking logs of the above equation) to compute the rate of growth of A. Let Y growth rate = 4%, growth rate of N = 2%, K increased by 3%, and E increased by 4%.
Growth accounting equation relates growth rates of GDP, capital, labor, and technology. It enables us to estimate the contribution of various inputs to economic growth. Here's the solution to the given problem:
We are given, Y = (AN)a(Kb )(Ey)
Taking the natural logarithm of both sides: ln(Y) = ln[(AN)a(Kb) (Ey)]ln(Y) = aln(A) + bln(K) + cln(N) + dln(E)Where a = b = c = 1/3, and d = 1 - a - b - c = 0
Plug in the values we are given : Natural log of Y growth rate = ln(1.04) = 0.04Natural log of N growth rate = ln(1.02) = 0.0198
Natural log of K growth rate = ln(1.03) = 0.0296Natural log of E growth rate = ln(1.04) = 0.0392
Substituting all the values in the equation, we get;0.04 = (1/3)ln(A) + (1/3)ln(K) + (1/3)ln(N) + 0
Substitute (1/3) as xln(A) = 3(0.04 - xln(K) - xln(N)ln(A) = 3(0.04 - x) - 3ln(K) - 3ln(N)ln(A) = 0.12 - 3x - 3ln(K) - 3ln(N)
Differentiate the above expression with respect to time to get the growth rate of A:d(ln(A))/dt = -3(d(ln(K))/dt) - 3(d(ln(N))/dt)
Plug in the values we are given : d(ln(K))/dt = 0.03 and d(ln(N))/dt = 0.02
Therefore, d(ln(A))/dt = -3(0.03) - 3(0.02)=-0.15
Hence, the rate of growth of technology (A) is -0.15 or -15%.
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