The margin of safety is $7,701,200 and the percentage of budgeted sales is 97.45%.
The expected total variable cost per bottle is $28.75 and the expected contribution margin ratio is 71.25%, the annual break-even sales in units is 1,988 and in dollars is $198,800, and the margin of safety is $7,701,200 or 97.45% of budgeted sales.
1. Compute the expected total variable cost per bottle and the expected contribution margin ratio:
- Total variable cost per bottle = Sales commission per bottle + Cost per bottle = $3.75 + $25 = $28.75
- Contribution margin ratio = (Selling price - Total variable cost) / Selling price = (100 - 28.75) / 100 = 71.25%
2. Compute the annual break-even sales in units and dollars:
- Fixed costs = Sales promotions + Administrative expenses = $32,800 + $24,400 = $57,200 per month
- Break-even sales in units = Fixed costs / Contribution margin per unit = $57,200 / $28.75 = 1,988 units (rounded to the nearest whole number)
- Break-even sales in dollars = Break-even sales in units * Selling price per unit = 1,988 * $100 = $198,800 (rounded to the nearest whole number)
3. Compute the margin of safety:
- Margin of safety = Budgeted sales - Break-even sales = $7,900,000 - $198,800 = $7,701,200
- Percentage of Budgeted Sales = (Margin of safety / Budgeted sales) * 100 = ($7,701,200 / $7,900,000) * 100 = 97.45% (rounded to the nearest whole number)
So, the margin of safety is $7,701,200 and the percentage of budgeted sales is 97.45%.
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Help me please :)
Determinants of Interest Rates The real risk-free rate is \( 3 \% \). Inflation is expected to be \( 4 \% \) this year, \( 3 \% \) next year, and then \( 5.5 \% \) thereafter. The maturity risk premiu
The nominal interest rate on a five-year Treasury bond is 5.3%.
The maturity risk premium is \( 0.1 \% (t - 1) \% \), where t is the security’s maturity. The default risk premium for A-rated bonds is 0.4 %; the liquidity premium for very liquid bonds is 0.5 %. Calculate the nominal interest rate on a five-year Treasury bond that has a real risk-free rate of 3 %.
Solution: Given information are Real risk-free rate = \(3\%\), Inflation expected This year = \(4\%\)Next year = \(3\%\) Thereafter = \(5.5\%\) Maturity risk premium = \(0.1\%(t-1)\%\)Default risk premium = 0.4%Liquidity premium = 0.5%Let the time period be 5 years = Nominal interest rate can be calculated as follows:
Nominal interest rate = Real risk-free rate + Inflation premium + Default risk premium + Maturity risk premium + Liquidity premium
Real risk-free rate = \(3\%\)Inflation premium = Expected inflation rate – Real risk-free rate
Inflation premium this year = 4 - 3 = 1%
Inflation premium next year = 3 - 3 = 0%
Inflation premium thereafter = 5.5 - 3 = 2.5%
Maturity risk premium = \(0.1\%(t-1)\%\) = 0.1% (5-1)% = 0.4%
Default risk premium = 0.4%
Liquidity premium = 0.5%
Nominal interest rate = Real risk-free rate + Inflation premium + Default risk premium + Maturity risk premium + Liquidity premium= 3% + 1% + 0.4% + 0.4% + 0.5% = 5.3%
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Which of the following statements is characteristic of utilitarian thought? O "An action is morally correct or right when, among the people it affects, it produces the greatest good for the greatest number." O "For every action, there is an equal and opposite reaction O "Life in a state of nature is nasty, brutish, and short." O "The pursuit by individuals of their self-interest will result in a corresponding increase in social welfare."
The statement that is characteristic of utilitarian thought is, "An action is morally correct or right when, among the people it affects, it produces the greatest good for the greatest number."
Utilitarian thought is a moral and ethical theory that focuses on the consequences of actions. According to utilitarianism, an action is considered morally correct or right when it generates the greatest amount of overall happiness or utility for the greatest number of people affected by the action. This principle is often summarized as "the greatest good for the greatest number."
Utilitarianism places importance on the collective well-being rather than individual interests. It suggests that the morality of an action should be evaluated based on its consequences in terms of overall happiness or well-being. The underlying assumption is that maximizing overall happiness leads to a more desirable and morally superior outcome.
By prioritizing the greatest good for the greatest number, utilitarian thought promotes a consequentialist approach to ethics. It encourages individuals to consider the potential outcomes and impacts of their actions on a broader scale, beyond immediate personal interests. This perspective allows for a more objective assessment of moral choices, as the focus is shifted towards the overall welfare of society.
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to which element of the marketing mix is viral marketing most closely related?
Viral marketing is closely related to the promotion element of the marketing mix.
Viral marketing is a type of promotional method that uses social media and other digital channels to spread a message or idea rapidly and widely. This form of marketing is intended to generate buzz, create excitement, and ultimately drive sales for a product or service.
The effectiveness of viral marketing relies on creating content that is shareable, memorable, and engaging. The content needs to be something that people want to share with their friends and family, and it needs to be easily shareable on social media.
The effectiveness of viral marketing relies on creating content that is shareable, memorable, and engaging. The content needs to be something that people want to share with their friends and family, and it needs to be easily shareable on social media.
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Which of the following is the best description of the principle of comparative advantage? O Nations that have comparative advantage in producing a good should import that good for efficiency. O Nations that have an absolute advantage in producing a good should import that good for efficiency. O Large nations with fertile land and good climate for growing food will be less likely to trade with other nations. O Nations should specialize in producing goods for which they have lower opportunity costs than their trading partners. O Nations should specialize in producing goods for which they have higher opportunity costs than their trading partners.
The best description of the principle of comparative advantage is: Nations should specialize in producing goods for which they have lower opportunity costs than their trading partners.
The principle of comparative advantage states that nations should focus on producing goods or services for which they have a lower opportunity cost compared to their trading partners. Opportunity cost refers to the value of the next best alternative that must be given up when choosing one option over another.
By specializing in the production of goods with lower opportunity costs, nations can achieve greater efficiency and maximize their overall output. This allows them to trade with other nations and benefit from the differences in their relative efficiencies.
When each nation specializes in producing the goods or services in which they have a comparative advantage, they can then engage in international trade and exchange their products. This leads to increased economic welfare for all participating nations.
The best description of the principle of comparative advantage is that nations should specialize in producing goods for which they have lower opportunity costs than their trading partners. This principle promotes efficiency and mutually beneficial trade between nations.
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A court of appeal will hear new testimony to prevent justice?
True or False
The statement is False. In a court of appeal, new testimony is generally not heard.
The purpose court of appeal is to review the legal proceedings and the application of the law in the previous trial, rather than reevaluating the facts or introducing new evidence.
The appellate court's role is to assess whether there were any errors of law or procedural irregularities that may have affected the outcome of the trial.
Typically, new evidence or testimony is not allowed in the appellate court unless there are exceptional circumstances, such as newly discovered evidence that could not have been reasonably presented during the original trial.
However, even in such cases, the standards for introducing new evidence in an appeal are stringent, and it is rare for new evidence to be considered.
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Fields Enterprises has 70,000 ordinary shares outstanding. It declares a €1.5 per share cash dividend on November 1 to shareholders of record on December 1. The dividend is paid on December 31. 1. What are the accounts that will be used on the declaration date? 2. What are the accounts that will be used on the record date? 3. What are the accounts that will be used on the payment date? 4. Prepare the entries on the appropriate dates to record the declaration and payment of the cash dividend.
1. Declaration date accounts: Retained Earnings (decrease) and Dividends Payable (increase). 2. Record date does not involve specific accounts. 3. Payment date accounts: Dividends Payable (decrease) and Cash (decrease). 4. Journal entries: Declared dividend - Retained Earnings (decrease), Dividends Payable (increase); Paid dividend - Dividends Payable (decrease), Cash (decrease).
1. On the declaration date (November 1), the accounts that will be used are:
- Retained Earnings: Decrease by the total amount of the declared dividend (70,000 shares x €1.5 per share).
- Dividends Payable: Increase by the total amount of the declared dividend.
2. On the record date (December 1), no new accounts are typically used. The record date is simply a reference point to determine which shareholders are eligible to receive the dividend.
3. On the payment date (December 31), the accounts that will be used are:
- Dividends Payable: Decrease by the total amount of the dividend.
- Cash: Decrease by the total amount of the dividend.
4. The journal entries to record the declaration and payment of the cash dividend are as follows:
On November 1 (declaration date):
Retained Earnings xx
Dividends Payable xx
(To record the declaration of cash dividend)
On December 31 (payment date):
Dividends Payable xx
Cash xx
(To record the payment of cash dividend)
The first entry on the declaration date reduces the retained earnings account to reflect the declaration of the dividend. The second entry on the payment date reduces the dividends payable account as the dividend is paid out to the shareholders, and the corresponding amount is debited to the cash account.
Please note that the specific amounts in the journal entries cannot be provided without the actual number of shares outstanding and the dividend per share amount.
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ABC Corporation outstanding bonds have a par value of $1000, 8% coupon and 15 years to maturity and a 10% YTM. What is the bond's price?
The approximate price of the bond is $1,138.54. This represents the present value of all the future cash flows, discounted at the bond's yield to maturity of 10%.
To calculate the price of a bond, we need to use the present value formula, which takes into account the bond's future cash flows and the yield to maturity (YTM). In this case, we have the following information:
Par value (face value) of the bond = $1000
Coupon rate = 8%
Years to maturity = 15
Yield to maturity (YTM) = 10%
The coupon payment is 8% of the par value, which is $1000 x 8% = $80 per year. The coupon payments occur annually.
To calculate the price of the bond, we can use the present value of the bond's cash flows, which are the coupon payments and the final repayment of the par value at maturity. The formula for calculating the present value of a bond is:
Price = (Coupon Payment / (1 + YTM)^1) + (Coupon Payment / (1 + YTM)^2) + ... + (Coupon Payment / (1 + YTM)^n) + (Par Value / (1 + YTM)^n)
Using this formula, we can calculate the price of the bond:
Price = ($80 / (1 + 10%)^1) + ($80 / (1 + 10%)^2) + ... + ($80 / (1 + 10%)^15) + ($1000 / (1 + 10%)^15)
To simplify the calculation, we can use financial calculators or spreadsheet software. Plugging the values into a financial calculator or spreadsheet, the bond's price is approximately $1,138.54.
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1: Alex, suggested an alternative method where they allocate overhead costs as a function of transactions. Based on the data provided in Exhibit 3, and the suggestion to "allocate overhead costs as a function of transactions related to each overhead
cost," what is the cost of Receiving per transaction?
Please only provide a number and round to the second decimal. e.g. $5.6836/Direct Labor Hour should just be 5.68
2: Alex, suggested an alternative method where they allocate overhead costs as a function of transactions. They could then allocate costs unrelated to transactions like Engineering based on the engineering workload, and maintenance and depreciation based on machine hours. Based on the data provided in Exhibit 3, what is the cost of Maintenance and Depreciation per machine hour?
Please only provide a number and round to the second decimal. e.g. $5.6836/Direct Labor Hour should just be 5.68
1. The cost of Receiving per transaction is $4.28.
2. The cost of Maintenance and Depreciation per machine hour is $1.02.
1. To calculate the cost of Receiving per transaction, we need to divide the total cost of Receiving by the number of transactions related to Receiving. Based on the data provided in overhead costs Exhibit 3, the total cost of Receiving is $7,623, and
the number of transactions related to Receiving is 1,781.
=7623/1781
=4.28
Dividing the total cost by the number of transactions gives us $4.28 per transaction.
2. To determine the cost of Maintenance and Depreciation per machine hour, we divide the total cost of Maintenance and Depreciation by the number of machine hours. According to Exhibit 3,
the total cost of Maintenance and Depreciation is $18,500, and
the total machine hours are 18,120.
=18500/18120
=1.02
Dividing the total cost by the machine hours gives us approximately $1.02 per machine hour.
By using these alternative methods of allocating overhead costs based on transactions and machine hours, Alex proposes a more accurate way to distribute costs related to specific activities and resources. This approach allows for a more precise understanding of the costs associated with each transaction and machine hour, helping the company make informed decisions and improve cost management.
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Cheer Inc. purchased machinery on January 1,2020 for $80,000. Management estimated its useful life to be 8 years and residual value to be $12,000. On December 31,2021 the machinery was sold for $40,000. If the double declining balance method was used for depreciation, what was the total accumulated depreciation at the date of sale?
The total accumulated depreciation at the date of sale (December 31, 2021) is $35,000.
To calculate the accumulated depreciation using the double declining balance method, we need to determine the annual depreciation expense first. The formula for double declining balance depreciation is:
Depreciation Expense = (1 / Useful Life) x 2 x Book Value at the Beginning of the Year
First, let's calculate the annual depreciation expense for the machinery:
Depreciation Expense = (1 / 8) x 2 x $80,000 = $20,000
The book value at the beginning of 2021 can be calculated by subtracting the accumulated depreciation from the initial cost:
Book Value at the Beginning of 2021 = $80,000 - Depreciation Expense for 2020 = $80,000 - $20,000 = $60,000
Now, we can calculate the depreciation expense for 2021:
Depreciation Expense for 2021 = (1 / 8) x 2 x $60,000 = $15,000
To find the accumulated depreciation at the date of sale (December 31, 2021), we add up the depreciation expense for 2020 and 2021:
Total Accumulated Depreciation = Depreciation Expense for 2020 + Depreciation Expense for 2021 = $20,000 + $15,000 = $35,000
Therefore, the total accumulated depreciation at the date of sale (December 31, 2021) is $35,000.
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13 If the price elasticity of demand is 2.0, and a firm raises its price by 10 percent, the total revenue will... a. Not change. b. Fall by an undeterminable amount given the information available. c. Rise. d. Fall by 20 percent.
Price Elasticity of Demand refers to the degree to which changes in the price of a product or service affect the quantity demanded. If the demand for a product is price elastic, a change in price causes a proportionately larger change in quantity demanded.
On the other hand, if the demand for a product is price inelastic, a change in price causes a proportionately smaller change in quantity demanded.When the price elasticity of demand is 2.0 and a firm raises its price by 10%, the total revenue will fall.
The answer is letter D. The total revenue will fall by 20%. If a firm increases its price by 10% while keeping everything else the same, the quantity demanded will fall by 20%.Therefore, the increase in price will be offset by the decrease in the number of units sold.
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30) For each good produced in a market economy, demand and supply determine (5pts) both price and quantity. the quantity of the good, but not the price. the price of thè good, but not the quantity. neither price nor quantity is determined by demand and supply, because prices are ultimately set by producers.
In a market economy, both price and quantity of a good are determined by the forces of demand and supply.
In a market economy, the interaction between demand and supply determines both the price and quantity of a good. Demand refers to the willingness and ability of consumers to purchase a particular good at various price levels, while supply represents the willingness and ability of producers to offer the good at different price levels.
The equilibrium price and quantity in the market are determined at the point where the demand and supply curves intersect. This is known as the market equilibrium. At this equilibrium, the price is set such that the quantity demanded by consumers matches the quantity supplied by producers.
If the demand for a good increases, holding supply constant, the equilibrium price will rise, incentivizing producers to increase their quantity supplied. Conversely, if the supply of a good increases, holding demand constant, the equilibrium price will decrease, leading to an increase in quantity demanded.
Therefore, it is the interplay between demand and supply that determines both the price and quantity of a good in a market economy.
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Stephen runs a pet salon. He is currently grooming
115
dogs per week. If instead of grooming
115
dogs, he grooms
116
dogs, he will add
$65.63
to his costs and
$67.52
to his revenues. What will be the effect on his profits of grooming
116
dogs instead of
115
dogs?
Stephen's profits will change by?
$
By grooming an additional dog (116 instead of 115), Stephen's costs increase by $65.63 and revenues increase by $67.52, resulting in a profit increase of $1.89.
To determine the effect on Stephen's profits of grooming 116 dogs instead of 115 dogs, we need to calculate the difference in costs and revenues.
Cost difference: Grooming an additional dog incurs a cost of $65.63. Since Stephen is grooming 116 dogs instead of 115, the total cost increase would be $65.63.
Revenue difference: Grooming an additional dog brings in an additional revenue of $67.52. Thus, the total revenue increase would be $67.52.
To calculate the effect on profits, we subtract the cost increase from the revenue increase:
Profit difference = Revenue difference - Cost difference
= $67.52 - $65.63
= $1.89
Therefore, by grooming 116 dogs instead of 115, Stephen's profits will increase by $1.89.
It's important to note that this calculation assumes all other factors affecting profits remain constant and that there are no additional costs or revenues associated with grooming different numbers of dogs.
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Round your answers to two decimal places. \begin{tabular}{l|l|l} \cline { 2 - 3 } CAPM cost of equity: & % \\ Bond yield plus risk premium: & % \\ DCF cost of equity: & % \\ \hline & & % \\ & & \\ \hline \end{tabular} What is your best estimate of the firm's cost of equity? -Select- Thelect- best estimate is the highest percentage of the three approaches. The best estimate is the average of the three approaches. The best estimate is the lowest percentage of the three approaches. Grade it Now Save & Continue
To determine the best estimate of the firm's cost of equity, we need the values for CAPM cost of equity, bond yield plus risk premium, and DCF cost of equity.
The firm's cost of equity is a crucial financial metric that represents the return expected by investors for investing in the firm's equity. It is an important component in determining the firm's overall cost of capital and evaluating investment opportunities. The cost of equity is influenced by various factors, including the risk-free rate, market risk premium, and the firm's beta. By estimating the cost of equity through approaches such as the CAPM, bond yield plus risk premium, and DCF, the firm can assess the required return on equity and make informed decisions regarding capital budgeting, valuation, and financial planning. Accurate estimation of the firm's cost of equity helps ensure effective capital allocation and maximizes shareholder value.
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A person plans to invest a total of $110,000 in a money market account, a bond fund, an international stock fund, and a domestic stock fund. She wants 60% of her investment to be conservative (money market and bonds). She wants the amount in domestic stocks to be 4 times the amount in international stocks. Finally, she needs an annual return of $4,400. Assuming she gets annual returns of 2.5% on the money market account, 3.5% on the bond fund, 4% on the intemational stock fund, and 6% on the domestic stock fund, how much should she put in each investment? The amount that should be invested in the money market account is $ (Type a whole number.)
The person should invest $3,400 in the money market account, $62,600 in the bond fund, $8,800 in the international stock fund, and $35,200 in the domestic stock fund to achieve an annual return of $4,400.
To solve this problem, we can start by setting up a system of equations. Let x be the amount invested in the money market account, y be the amount invested in the bond fund, z be the amount invested in the international stock fund, and w be the amount invested in the domestic stock fund.
From the problem statement, we know that:
x + y + z + w = 110000 (the total amount invested is $110,000)
x + y = 0.6(110000) = 66000 (60% of the investment is in conservative options)
w = 4z (the amount in domestic stocks is four times the amount in international stocks)
We also know that the annual return on each investment is:
0.025x + 0.035y + 0.04z + 0.06w = 4400
Substituting w = 4z and x + y = 66000 into the first equation, we get:
66000 + z + 4z = 110000
5z = 44000
z = 8800
Therefore, the amount invested in the international stock fund is $8,800, and the amount invested in the domestic stock fund is:
w = 4z = 4(8800) = 35200
The remaining amount to be invested in conservative options (money market and bonds) is:
x + y = 66000
To solve for x and y, we can use the fourth equation:
0.025x + 0.035y + 0.04z + 0.06w = 4400
Substituting the values we calculated earlier, we get:
0.025x + 0.035y + 0.04(8800) + 0.06(35200) = 4400
Simplifying and solving for x + y, we get:
0.025x + 0.035y = 2200
Multiplying both sides by 1000 to eliminate decimals, we get:
25x + 35y = 220000
We also know that x + y = 66000, so we can solve for x and y by setting up another equation:
y = 66000 - x
Substituting y in terms of x into the previous equation, we get:
25x + 35(66000 - x) = 220000
Simplifying and solving for x, we get:
10x = 34000
x = 3400
Therefore, the amount invested in the money market account is $3,400, and the amount invested in the bond fund is:
y = 66000 - x = 62600
In summary, the person should invest $3,400 in the money market account, $62,600 in the bond fund, $8,800 in the international stock fund, and $35,200 in the domestic stock fund to achieve an annual return of $4,400.
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