Answer:
$92,200
Explanation:
Calculation for Hopson's projected benefit obligation at December 31, 2015
Using this formula
Projected benefit obligation=Actuarial estimate of projected benefit obligation + Service costs +(Actuarial estimate of projected benefit obligation × Discount rate)- Pension benefit
Let plug in the formula
Projected benefit obligation= $72,000 + $28,000 + ($72,000 × .10) -$15,000
Projected benefit obligation=$72,000 + $28,000 + $7,200-$15,000
Projected benefit obligation= $107,200-$15,000
Projected benefit obligation=$92,200
Therefore Hopson's projected benefit obligation at December 31, 2015 will be $92,200
Charlie hopes to accumulate $83,000 in a savings account in 10 years. If he wishes to make a single deposit today and the bank pays 3 percent compounded annually on deposits of this size, how much should Charlie deposit in the account
Answer:
PV= $61,759.80
Explanation:
Giving the following information:
Future value (FV)= $83,000
Number of years (n)= 10 years
Interest rate (i)= 3% compounded annually
To calculate the initial deposit, we need to use the following formula:
PV= FV/(1+i)^n
PV= 83,000 / (1.03^10)
PV= $61,759.80
What term means managing the entire organization so that it excels on all dimensions of products and services that are important to customers?
Answer:
Total Quality Management
Explanation:
Total Quality Management is an approach in which all the employees of the company work to improve the entire process to offer a good customer experience. According to this, the answer is that the term that means managing the entire organization so that it excels on all dimensions of products and services that are important to customers is Total Quality Management.
In a(n) _____ decision, there may be several "right" answers, and there is no precise way to get a right answer. A. recurring B. ad hoc C. nonstructured D. structured
Answer:
C. nonstructured
Explanation:
-Recurring decision refers to a decision that has to be made regularly.
-Ad hoc decision refers to a decision made for a specific situation.
-Nonstructured decision is a decision that can have multiple solutions that are correct and you don't have a form to define which one is the right option.
-Structured decision is when you make a decision using a process that has been established to manage a specific situation.
According to this, the answer is that in a(n) nonstructured decision, there may be several "right" answers, and there is no precise way to get a right answer.
Identify factors that could prevent an older, established company from effecting an enterprise-wide, customer-centric culture.
Answer:
A more established company may find it difficult to implement an enterprise-wide, customer-centric culture due to the following reasons:
A) Existence of a Multi-Product Business Model
A business entity that is well established with a lot of years under its belt will find it a tough challenge to shift from a product-oriented business model to a customer-oriented business model.
To be product-focused simply means that that a company has woven its organisational structure around products. For examples, a company that is into the gaming business may have teams for their Sports Betting Section, another for their online gaming section, game hardware section, gaming apps section etc.
First, for these various teams, their performance metric will largely depend on how functionally efficient their products are.
Second, techy or geeky staff are seldom efficient when it comes to emotional intelligence - a key requirement for being customer efficient.
One way to handle this is to ensure that there is a central Customer Relationship Management team that oversees the customers for each product.
B) Organisational Inflexibility
As direct to the point as it sounds, getting market intelligence for with the intention to use them for decision making is challenging. What is tougher is the ability to implement the insights from such intelligence to effect a turn around in the way customers perceive and respond to a company's offerings.
The ability to quickly take gather market intel, agree on a strategic direction based on same and execute can be referred to organisational agility.
The more bureaucratic and hierarchical an organisation is (this, by the way, characterises older and more established business systems) the less agile it is likely to be.
Cheers!
In the context of early advertising, the invention of the _____ made advertising via posters, handbills, and signs possible.
Answer:
The printing press.
Explanation:
The printing press and its form of works are known to be an early age form that have been used and still in use for advertising. Advertisements of this form are seen in form of newspapers or magazines and are sometimes included as brochures or fliers. Write ups used in the print media to grab the attention of the specific target audience comes under the purview of print advertising.
Newspapers readers and also other publications methods have a tendency to browse the print ads that they come across. Moves to purchase these products could possibly not be instantaneous, but it does settle down in their subconscious mind. Next time they see the product in the market, they are tempted to buy it.
Identify at least two challenges that Salesforce faces and explain why these are important challenges to Salesforce.
Answer:
Two challenges that Salesforce may face today:
1. Competitions
2. Cash Flows
Explanation:
1. Salesforce has been the global Software-as-a-Service (SaaS) provider for Customer Relationship Management (CRM) system. However, they are challenged by new market joiners such as Hubspot. There are also new startups offering free and simple cloud-based CRM systems that targetting small businesses. The entry of the new competitors seriously threatens the leading market share of Salesforce.
2. The current pandemic affected negatively to all enterprises, including Salesforce's outstanding customers. They should expect a drop in their total number of fee payers while the cost to maintain their high product standard is still the same as before. It may give them a lot of working capital headaches.
I have question with it can you help me please??
Answer:
Pick-up Later:
Set a pickup date
Process the transaction
Place all the items in the pickup area near the front of the store
Place a note on the items indicating they are sold.
Explanation:
The purpose of the above procedure is to enable the customer to take delivery of purchased goods hitch-free. The pick-up area needs to be covered against rain so that the mulch and topsoil do not degrade. It is assumed that the customer's contact information and payment have been secured before the arrangement for pick-up later.
King Company issued bonds with a face amount of $1,600,000 in 2015. As of January 1, 2020, the balance in Discount on Bonds Payable is $4,800. At that time, King redeemed the bonds at 102.Required:Assuming that no interest is payable, make the entry to record the redemption.
Answer:
January 1, 2020
Bonds Payable 1600000 Dr
Loss on Redemption of bonds 36800 Cr
Discount on Bonds Payable 4800 Cr
Cash 1632000 Cr
Explanation:
The redemption of bonds before the maturity usually requires a payment for redemption which is a certain percentage of its face value. It is usually higher than the face value. The above bonds are redeemed at 102 which means at 102% of the face value of the bonds. Thus, the cash paid to redeem the bonds is,
Cash = 1600000 * 102% = 1632000
The bonds have a carrying value, which is the face value less discount or add premium, of,
Carrying value = 1600000 - 4800 = $1595200
If they are redeemed for an amount in excess of the carrying value, they are redeemed at a loss.
The loss on redemption is,
Loss = 1595200 - 1632000 = $36800
A firm has net working capital of $2,715, net fixed assets of $22,407, sales of $31,350, and current liabilities of $3,908. How many dollars' worth of sales are generated from every $1 in total assets
Answer:
So, from every $1 of total assets, $1.08 worth of sales are generated.
Explanation:
To calculate how many dollars worth of sales are generated by $1 of total assets, we use the total assets turnover ratio. It is an accounting measure that measures the efficiency of the company's assets in generating sales. It calculates the dollar values of sales generated by each $1 of total assets. The formula for total assets turnover is,
Total Assets Turnover = Sales / Average Total Assets
We already know the level of sales. We need to determine the value of total assets first.
Total Assets = Fixed assets + Current Assets
As we know that net working capital = current assets - current liabilities,
So, the current assets are,
2715 = Current assets - 3908
2715 + 3908 = Current assets
Current assets = $6623
Total assets = 6623 + 22407
Total assets = $29030
Total Assets Turnover = 31350 / 29030
Total assets turnover = 1.0799 rounded off to 1.08
So, from every $1 of total assets, $1.08 worth of sales are generated.
Digby's turnover rate for this year is 6.33%. This rate is projected to remain the same next year and no further downsizing will occur from automating. What would the total recruiting cost be for Digby, assuming it spends the same amount extra above the $1,000 recruiting base as they did this year?
Answer:
Total recruitment cost = $316.5
Explanation:
Note:
Given question is incomplete,
The number of employees = 5,000
Given:
Turnover rate for this year = 6.33%
Find:
Total recruitment cost
Computation:
Total recruitment cost = Turnover rate for this year × The number of employees
Total recruitment cost = 5,000 × 6.33%
Total recruitment cost = $316.5
The total recruiting cost will be $316.5 for Digby.
Given information
Assumed the number of employees is 5,000
Turnover rate for this year = 6.33%
Total recruitment cost = Turnover rate for this year * The number of employees
Total recruitment cost = 5,000 * 6.33%
Total recruitment cost = $316.5
Therefore, the total recruiting cost will be $316.5 for Digby.
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Assume MIX Inc. has sales volume of $1,198,000 for two products with May sales and contribution margin ratios as follows:
Product A: Sales $466,000; Contribution Margin Ratio 30%
Product B: Sales $732,000; Contribution Margin Ratio 60%
Required: Assume MIX's fixed expenses are $302,000. Calculate the May total contribution margin, operating income, average contribution margin ratio, and breakeven sales volume. (Round "Average contribution margin ratio" answer to 2 decimal places. Round up "Breakeven sales volume" answer to nearest whole dollar.)
Total contribution margin
Operating income
Average contribution margin ratio
Breakeven sales volume
Answer:
total contribution margin = $579,000
operating income = $277,000
average contribution margin ratio = 48.33%
break even sales volume = $624,870.68
Explanation:
Product A: Sales $466,000; Contribution Margin Ratio 30%
Product B: Sales $732,000; Contribution Margin Ratio 60%
Mix's fixed expenses are $302,000
total contribution margin = ($466,000 x 30%) + ($732,000 x 60%) = $139,800 + $439,200 = $579,000
weighted contribution margin = (466/1198 x 30%) + (732/1198 x 60%) = 11.67% + 36.66% = 48.33%
break even sales volume = $302,000 / 48.33% = $624,870.68
operating income = $579,000 - $302,000 = $277,000
The managerial accountant at Space Right Office Cubicles calculates fixed overhead variances to complete the August report. The actual fixed overhead cost in the month of August was and the budgeted fixed overhead cost was . The standard hours in August were and the standard rate per machinehour was . Calculate the standard fixed overhead cost allocated to production, the fixed overhead budget variance, and the fixed overhead volume variance. A. ; F; U B. ; F; U C. ; F; U D. ; F; U
Answer: d. $36,400; $1700 F; $500 U
Explanation:
1. Standard fixed overhead cost allocated to production
= Standard Hours * Standard rate per machine hour
= 2,600 * 14
= $36,400
2. Fixed overhead budget variance
= Budget overhead cost - Actual overhead cost
= 36,900 - 35,200
= $1,700 favorable
3. Fixed Overhead Volume Variance
= Standard fixed overhead cost - Budgeted overhead
= 36,400 - 36,900
= -$500
= $500 Unfavorable
Your text outlines three basic categories of electronic commerce applications: business-to-consumer (B2C), business-to-business (B2B) and consumer-to-consumer (C2C). B2C applications:_______.
A. Involve businesses developing attractive electronic marketplaces to entice customers and sell products and services to consumers.
B. Involve both electronic business marketplaces and direct market links between businesses .
C. Involve consumers buying and selling with each other in an auction process at an auction website, as well as personal advertising of products or services to buy or sell at electronic newspaper sites or personal websites.
D. None of the choices are correct.
Answer:
A. Involve businesses developing attractive electronic marketplaces to entice customers and sell products and services to consumers.
Explanation:
The Business to Consumer (B2C) sales strategy corresponds to a type of sale aimed at the final consumer. This sale takes place at retail, and occurs according to the consumer purchase decision process, which identifies their needs, judges the options according to their preferences and desires and finally chooses the option that best suits their search for a particular product or service.
Therefore, in the B2C strategy, retail companies have as main objective to create in the consumer the desire for a purchase, so the most appropriate option for this issue is that developing attractive electronic markets will help the company to attract customers and sell products and services to consumers.
Which of the following is an advantage of job specialization? 1 point A. The quality of work increases. B. Jobs can be mastered quickly. C. Employees are more involved with their jobs. D. The work is less repetitive. E. Task specialization has no clear advantages to the organization
Answer: B. Jobs can be mastered quickly.
Explanation:
Job specialization is when the employees in an organization focuses and concentrates on one particular aspect in a organization. Specialization makes employees more efficient and also effective at their role.
Also, jobs can be mastered quickly since the employees typically focuses on one particular aspect in the organization.
Compromising is most likely the best approach to conflict management when opponents with equal power are committed to mutually exclusive goals.
a. True
b. False
Answer:
true
Explanation:
when two opponents with equal power are committed to mutually exclusive goals then they have to reach a compromise.in a compromise, either of these two parties having a conflict would be willing to give up something to reach an agreement. The needs of both sides would be balanced, as both sides would have to make sacrifices. This makes it a lose-lose approach to conflict resolution for either parties involved. A compromise has to be reached for important goals to be achieved.
The Herfindahl-Hirschman Index (HHI) is a mathematical approach to understanding market concentration that provides a single concentration indicator. What is the HHI for an industry characterized by the below noted data?Firm 1 has a market share of 40%Firm 2 has a market share of 20%Firm 3 has a market share of 15%Firm 4 has a market share of 15%Firm 5 has a market share of 10%HHI=___
Answer:
2550
Explanation:
The HHI is calculated by squaring the market share of each firm in the industry.
40² + 20² + 15² + 15² + 10² = 1600 + 400 + 225 + 225 + 100 = 2550
true or false: a supply curve describes how much a producer of services are willing to sell at different prices
Answer:
True
Explanation:
The supply curve is a graph showing the quantities of a good or service a supplier is willing and able to supply at differnt prices.
According to the law of supply. the higher the price, the higher the quantity supplied and the lower the price, the lower the quantity supplied.
the supply curve is upward sloping
The income statements for Federer Sports Apparel for 2022 and 2021 are presented below.
FEDERER SPORTS APPAR
Income Statement
For the Years Ended December 31
Year Increase Decrease
2019 2018 Amount %
Net sales 18,800,000 15,500,000
Cost of goods 13,200,000 7,000,000
Gross prof 5,600,000 8,500,000
Operating expenses 1,600,000 1,200,000
Depreciation expense 1,000,000 1,000,000
Inventory write-down 200,000 0
Loss (litigation) 1,500,000 300,000
Required:
Prepare a horizontal analysis for 2022 using 2021 as the base year.
Answer and Explanation:
The Preparation of horizontal analysis for 2022 using 2021 as the base year is prepared with the help of a spreadsheet.
Horizontal analysis is a method for the analysis of financial statements that indicates fluctuations in the amount of the related products over a period of time. It is a valuable instrument for determining trend situations.
So, with the help of the spreadsheet, we will be able to find the net income by using the formulas.
The horizontal analysis of the Income Statement is the analytical form of preparing the income statement to determine the accurate amount and percentage of changes in each item of the income statement.
The horizontal income statement is attached below.
The horizontal analysis determines the change in the amounts of each account. The percentage change is the division of a change in amount by the base amount of the base year.
In this case, the base year was 2021.
Therefore, the change in amounts will be determined based upon the figures of the base year.
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Fed is open to changing bond policy Fed policymakers signaled for the first time that they could increase or decrease stimulation of the economy in the future, but not now. Source: Los Angeles Times, May 1, 2013 What are the ripple effects and time lags that the Fed must consider in deciding when to increase or decrease stimulation of the economy?
Answer:
When the Fed raises the federal funds rate, the inflation rate decreases about two years later.
Explanation:
When trying to stimulate the economy either by increasing or decreasing, policymakers have to take into consideration how it would effect interest rate, amount of money available in the economy, loans that would be acquired by banks and the behavior of interest rate.
Interest rate can be impacted quickly even though the period of time it would take for such action to have a reflection on what quantity of money is available in the economy. Then also a period of 2 years would be taken for this action to take effect on inflation.
Therefore
When the Fed raises the federal funds rate, the inflation rate decreases about two years later.
Zane, a new employee, is eager to get a promotion soon, and he hopes he can quickly rise through the ranks at the company. He decides to ask his supervisor, Mary, for professional development advice. This is an example of which of the following types of communication?
a. Downward
b. None of these are correct.
c. Upward
d. Horizontal
e. Diagonal
Answer:
C
Explanation:
Upward communication is communication from lower hierarchy in the organisation to higher hierarchy in the organisation
Downward communication is communication from higher hierarchy in the organisation to lower hierarchy in the organisation
Horizontal communication is communication within the same organisation hierarchy
Diagonal communication is cross functional communication between employees at different levels of the organisation
TB MC Qu. 8-187 The Charade Corporation is preparing its ... The Charade Corporation is preparing its Manufacturing Overhead budget for the fourth quarter of the year. The budgeted variable manufacturing overhead is $5 per direct labor-hour; the budgeted fixed manufacturing overhead is $95,000 per month, of which $17,000 is factory depreciation. If the budgeted direct labor time for November is 9,000 hours, then the total budgeted manufacturing overhead for November is:
Answer:
Allocated MOH= 140,000
Explanation:
Giving the following information:
The budgeted variable manufacturing overhead is $5 per direct labor-hour
The budgeted fixed manufacturing overhead is $95,000 per mont
The budgeted direct labor time for November is 9,000 hours
To allocate overhead, we need to use the following formula:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Allocated MOH= (5*9,000) + 95,000
Allocated MOH= 140,000
Brunette Company is contemplating investing in a new piece of manufacturing machinery. The amount to be invested is $180,000. The present value of the future cash flows generated by the project is $163,000. Should they invest in this project?
Answer:
No, as the net present value comes in negative
Explanation:
As we know that
Net present value = Present value of cash inflows - Initial investment
where,
Present value os $163,000
And, the initial investment is $180,000
Now placing these values to the above formula
So, the net present value is
= $163,000 - $180,000
= -$17,000
Therefore the company should not accept the project as net present value is in negative that is -$17,000
Moped, Inc. purchased machinery at a cost of $44,000 on January 1, 2017. The expected useful life is 5 years and the asset is expected to have salvage value of $4,000. Moped depreciates its assets using the double-declining balance method. What is the firm's depreciation expense for the year ended December 31, 2017?
Answer:
Annual depreciation= $16,000
Explanation:
Giving the following information:
Purchase price= $44,000
Useful life= 5 years
Salvage value= $4,000
To calculate the depreciation expense under the double-declining balance, we need to use the following formula:
Annual depreciation= 2*[(book value)/estimated life (years)]
Annual depreciation= 2*[(44,000 - 4,000) / 5]
Annual depreciation= 16,000
Assume the Residential Division of KappyKappy Faucets had the following results last year:
Net sales $6,360,000
Operating income 636,000
Average total assets 5,300,000
Management's target rate of return 16%
What is the division's return on investment?
Answer:
12%
Explanation:
Calculation for the division's return on investment
Using this formula
Return On Investment = Operating income /Average total assets
Let plug in the formula
Return on investment= $636,000/$5,300,000
Return on investment= 0.12*100
Return on investment=12%
Therefore the division's return on investment will be $12%
Baldwin has negotiated a new labor contract for the next round that will affect the cost for their product Buzz. Labor costs will go from $2.10 to $2.60 per unit. In addition, their material costs have fallen from $6.82 to $5.82. Assume all period costs as reported on Baldwin's Income Statement remain the same. If Baldwin were to pass on half the new costs of labor and half the savings in materials to customers by adjusting the price of their product, how many units of product Buzz would need to be sold next round to break even on the product
Answer:
433 units
Explanation:
Information related to production costs are missing, so I looked for it. I found the following:
current sales price = $17
current fixed costs = $7,242
new labor costs per unit = $2.60, which results in a $0.50 increase
new direct materials cost per unit = $5.82, which results in a $1 decrease
total variable costs per unit = $8.42
Baldwin plans to pass 50% of the changes in costs to its customers:
Increase $0.25 due to higher labor costsdecrease $0.50 due to lower materials costsnet change = -$0.25new sales price = $17 - $0.25 = $16.75
contribution margin per unit = $16.75 - $8.42 = $8.33
break even point in units = total fixed costs / contribution margin per unit = $7,242 / $16.75 = 432.36 = 433 units
assume the following information about the market and JumpMaster's stock. JumpMaster's beta = 1.50, the risk free rate 2%, the market risk premium is 10.0%. Using CAPM, what is the expected return for JumpMaster's stock?
Answer:
Expected market return = 17%
Explanation:
Given the Jump master’s beta = 1.50
Risk free rate = 2%
Market risk premium = 10%
To find the expected return we have to use the below formula.
Expected market return = Riskfree rate + Beta × Market risk premium
Now insert all the values in order to get the expected market return.
Expected market return = 2 + 1.50 × 10
Expected market return = 17%
A company reported that its bonds with a par value of $50,000 and a carrying value of $57,500 are retired for $60,600 cash, resulting in a loss of $3,100. The amount to be reported under cash flows from financing activities is:
Answer:
The amount this company would report under cash flows from financing activities is $60,600.
Explanation:
These cash flows of $60,600 represent the actual cash outflows, an amount that bondholders would receive from the company in retirement of the bonds. The statement of cash flows records the actual cash inflows and outflows of a company transactions during a particular accounting period. Every item is adjusted to reflect the actual cash flows. It is strictly based on the Cash Basis of accounting instead of the accrual basis.
On August 1, 2010, a company issues bonds with a par value of $600,000. The bonds mature in 10 years and pay 6% annual interest, payable each February 1 and August 1. The bonds sold at $592,000. The company uses the straight-line method of amortizing bond discounts. The company's year-end is December 31. Prepare the general journal entry to record the interest accrued at December 31, 2010.
Answer:
Dr Discount on BP 8,000
Cr Cash 592,000
Cr Bond payable 600,000
Dr Interest expense 15,333.33
Cr Interest payable 15,000
Cr Discount on BP 333.33
Dr Interest payable 15,000
Dr interest expense 3,066.67
Cr Cash 18,000
Cr Discount on BP 333.33
Explanation:
Preparation of the general journal entry to record the interest accrued at December 31, 2010.
Based on the information given we were told that the company issues bonds with a par value of the amount of $600,000 in which the bonds mature in 10 years with a 6% annual interest and sold at the amount of $592,000 this means that the transaction will be recorded as:
Dr Discount on BP 8,000
(600,000-592,000)
Cr Cash 592,000
Cr Bond payable 600,000
(To record issuance of the bonds)
Dr Interest expense 15,333.33
Cr Interest payable 15,000 (600,000 x 6% x 5/12 )
Cr Discount on BP 333.33
(8,000 / (10years* 2 payment =400*5/6=333.33)
(To record year end adjustment entry)
Dr Interest payable 15,000
(600,000 x 6% x 5/12 )
Dr interest expense 3,066.67
(600,000 x 6% x 1/12=3,000)
(400 - 333.33= 66.67)
(3,000+66.67=3,066.67)
Cr Cash 18,000
(600,000 x 6% x 6/12)
Cr Discount on BP 333.33
(8,000 / (10years* 2 payment =400*5/6=333.33)
(To record first interest payment to bondholders)
As an American investor, you are trying to calculate the present value of a £25 million cash flow that will occur one year in the future. You know that the spot exchange rate is S= $1.9397/ £ and one-year forward rate is F= $1.9581/ £. You also know that the appropriate dollar cost of capital for this cash flow is 6.25% and that the appropriate pound cost of capital for this cash flow is 5.25%. a) What is the present value of the £25 million cash flow from the standpoint of a British investor, and what is the dollar equivalent of this amount? b) What is the present value of the £25 million cash flow from the standpoint of a U.S. investor who first converts the £25 million into dollars and then applies the dollar discount rate?
Answer:
1. Present value in pound=$23,752,969
Dollar equivalent=$46,073,634
2.Dollar equivalent for U.S investors=$48,952,500
Present value in pound=$46,072,918
Explanation:
1a.Calculation for present value of the £25 million cash flow
Using this formula
Present value in pound =cash flow*(1/1+Cash flow cost of capital)^ One year in the future
Let plug in the formula
Present value in pound=$25,000,000*(1/1+0.0525)^1
Present value in pound=$25,000,000*(1/1.0525)^1
Present value in pound=$25,000,000*0.950119
Present value in pound=$23,752,969
1b.Calculation for the dollar equivalent of this amount
Using this formula
Dollar equivalent=Present value in pound*Spot exchange rate
Let plug in the formula
Dollar equivalent=$23,752,969*$1.9397
Dollar equivalent=$46,073,634
2a. Calculation for the Dollar equivalent for U.S investors
Using this formula
Dollar equivalent for U.S investors=Cash flow*one-year forward rate
Let plug in the formula
Dollar equivalent for U.S investors=$25,000,000*$1.9581
Dollar equivalent for U.S investors=$48,952,500
2b. Calculation for the present value of the £25 million cash flow from the standpoint of a U.S. investor .
Using this formula
Present value in pound =Cash flow*(1/1+Cash flow cost of capital)^ One year in the future
Let plug in the formula
Present value in pound=$48,952,500*(1/1.0625)^1
Present value in pound=$48,952,500*0.941176
Present value in pound=$46,072,918
Therefore the Present value in pound for question 1 is $23,752,969 while the Dollar equivalent is $46,073,634.
The Dollar equivalent for U.S investors in question 2 is $48,952,500 while the Present value in pound is $46,072,918
Assume that the hourly cost to operate a commercial airplane follows the normal distribution with a mean of $5,793 per hour and a standard deviation of $439. What is the operating cost for the lowest 2% of the airplanes?
Answer:
x1 = 4891.294
Explanation:
given data
mean μ = $5,793
standard deviation σ = $439
solution
we know here that
P(x < x1 ) = 0.02 .................1
so
[tex]P(\frac{x-\mu }{\sigma } < \frac{x1-\mu }{\sigma }) = 0.02[/tex]
so
[tex]P(z < \frac{x1-\mu }{\sigma }) = 0.02[/tex]
[tex]\frac{x1-\mu }{\sigma }[/tex] = invNorm(0.02)
so
x1 = μ + σ × invNorm(0.02) .....................2
we use here table for invNorm(0.02) and put value in eq 2
x1 = 5793 + 439 × (-2.054 )
x1 = 4891.294
