What is the standard deviation of a portfolio's returns if the mean return is 15%, and the variance of returns is 184

Answers

Answer 1

Answer:

Standard deviation  =13.6

Explanation:

Standard deviation is measure of the total risks of an investment. It measures the volatility in return of an investment as a result of both systematic and non-systematic risks.

Non-systematic risk includes risk that are unique to a company like poor management, legal suit against the company .

Standard deviation is the sum of the squared deviation of the individual return from the mean return under different scenarios .

Further more, it can be calculated as the square root of the variance of the portfolio.

Standard deviation = √ variance

DATA

Variance = 184

Standard deviation = √184 = 13.6

Standard deviation  =13.6


Related Questions

Faisal has in his savings account and can save an additional per year. If interest rates are​ 12%, how long will it take his savings to grow to ​?

Answers

Answer:

5 years and 4 months = 5.33 years

Explanation:

the question is incomplete and it is missing several numbers. I found the following question which I think is the complete:

"Faisal has $12,000 in his savings account and can save an additional $3600 per year. If interest rates are 12%, how long will it take his savings to grow to $47,000? "

by the end of year 1, Faisal will have:

$12,000 x (1 + 12%) = $13,440+ $3,600total = $17,040

by the end of year 2, Faisal will have:

$17,040 x (1 + 12%) = $19,084.80+ $3,600total = $22,684.80

by the end of year 3, Faisal will have:

$22,684.80 x (1 + 12%) = $25,406.98+ $3,600total = $29,066.98

by the end of year 4, Faisal will have:

$29,066.98 x (1 + 12%) = $32,487.81+ $3,600total = $36,087.81

by the end of year 5, Faisal will have:

$36,087.81 x (1 + 12%) = $40,418.35+ $3,600total = $44,018.35

Since Faisal is very close to his goal, we can calculate how much money he will have in 6 months:

in 5 years and 6 months, Faisal will have:

$44,018.35 x (1 + 6%) = $46,659.45+ $1,800total = $48,459.45

Faisal's savings are too high in 6 more months, so we can calculate in 3 more months instead:

in 5 years and 3 months, Faisal will have:

$44,018.35 x (1 + 3%) = $45,338.90+ $900total = $46,238.90

Faisal is just a little bit short:

in 5 years and 4 months, Faisal will have:

$44,018.35 x (1 + 43%) = $45,779.08+ $1,200total = $46,979.08

I guess we are close enough because in one more month he will have a significantly higher amount.

Costs that are capitalized because they are expected to have future value are called product costs; costs that are expensed are called period costs. This classification is important because it affects the amount of costs expensed in the income statement and the amount of costs assigned to inventory on the balance sheet. Product costs are commonly made up of direct materials, direct labor, and overhead. Period costs include selling and administrative expenses.

A service company has which of the following costs

a. Direct Material
b. Overhead Costs
c. Product Costs
d. Expensed in the period incurred

Answers

Answer:

b. Overhead Costs

d. Expensed in the period incurred

Explanation:

-Direct material refers to the cost of the material used to manufacture a product.

-Overhead costs are the costs related to the operation of the business and they can't be assigned to a good or service.

-Product Costs are the costs to manufacture a product.

-Expensed in the period incurred are the period costs which are costs not related to the production of a good.

According to these definitions, a service company has the following costs: overhead costs and expensed in the period incurred because these are costs that are not related to the creation of a product.

On the other hand, the other options direct material and product costs are not right because these costs are directly related to products.

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?

Answers

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

Effectiveness of a solution is equal to:_______

a. Quality of a Solution 20% (x) Acceptability of the Solution 80%
b. Quality of a Solution 80% (x) Acceptability of the Solution 20%
c. Quality of a Solution 10% (x) Acceptability of the Solution 90%
d. Quality of a Solution 90% (x) Acceptability of the Solution 10%
e. None of the above

Answers

Answer:

a. Quality of a Solution 20% (x) Acceptability of the Solution 80%

Explanation:

We say that a solution is effective i.e 100%, when it has a 20% of its quality and 80% of its acceptability.

A solution is effective when it has a 100% effect. The application of a solution to a problem which yields 100% effect is said to be effective and acceptable.

The scale used is the relationship given as:

Effectiveness of a solution = Quality of a Solution 20% (x) Acceptability of the Solution 80%

Which of the following is concerned with the effect of exchange rate changes on individual transactions, most of which are short-term affairs that will be executed within a few weeks or months?

a. Purchasing power parity
b. Transaction exposure
c. Economic exposure
d. Translation exposure
e. Currency speculation

Answers

Answer: Transaction exposure

Explanation:

Transaction exposure, is a form of foreign exchange risk that is faced by the organizations that take part in international trade. It occurs when the fluctuation in exchange rate change a contracts value before it is settled.

It is concerned with the effect of exchange rate changes on individual transactions, most of which are short-term affairs that will be executed within a few weeks or months.

The development manager is required to choose between two projects. Project A has an IRR of 25% and project B has an IRR of 30%. Which of the following statements is correct? A. If she can invest only in one project, the manager will choose project B B. None of the statements above is correct C. If she can invest only in one project, the manager will choose project A D. If she can invest in both projects, the manager will choose both projects A and B

Answers

Answer:

A

D

Explanation:

Internal rate of return is the discount rate that equates the after tax cash flows from an investment to the amount invested.

Because the IRR of both projects are positive, both projects are acceptable.

If the manager can only choose one project, she should choose the one with the higher IRR because it would be more profitable.

Sheffield Auto Supply does not segregate sales and sales taxes at the time of sale. The register total for March 16 is $19,902. All sales are subject to a 7% sales tax. Compute sales taxes payable. Sales taxes payable

Answers

Answer:

Sales tax = Total sales / 100 + Sales Tax rate * Sales Tax rate

Sales tax = {$19,902 / (100 + 7)} * 7

Sales tax = ($19,902 / 107) * 7

Sales tax = $1,302

Date   Account Title and Explanation     Debit       Credit

           Cash                                               $19,902

                Sales Tax payable                                      $1,302

                 Sales revenue                                            $18,600

                 ($19,902 / 107 * 100)

           (To record sales and sales taxes payable)

Answer:

1,302

Explanation:

Sales without tax x (100%+sales tax rate) = sales with tax

sales without tax x 1.07 (100%+7%) = 19902

sales without tax = 19902/1.07

sales without tax = 18600

sales with tax - sales without tax = sales tax payable

19902 - 18600 = 1302

In a concentrated network configuration:


a. firms perform a supply chain activity in one location and serve foreign locations from it

b. firms allow each site on the network to operate with full autonomy

c. firms tightly link operations and supply chain activities to one another

d. firms perform a supply chain activity in various countries

Answers

Answer:

B

Explanation:

Here, in this question, we are to select which of the options is best.

The correct answer to this question is that in a concentrated network configuration, firms allow each site on the network to operate with full autonomy.

What this means is that each site in the network operate independently of the other sites.

A site is thus an autonomous entity but still part of the concentrated network

Assume that the government is currently balancing the national budget so that outlays equal tax revenue. Then the economy slips into recession, and the government decides to increase government spending by $50 billion. The government must pay for this by borrowing; it must sell $50 billion worth of Treasury bonds. As a result: Group of answer choices

Answers

Answer: b. be in deficit by at least $50 billion.

Explanation:

The Government budget had been balanced but it will now have to spend $50 billion more than it is making. This will mean that Government expenditure will rise by $50 billion over the tax revenue which will lead to a deficit of the same amount.

These are bonds however meaning that the Government would have to pay interest on the $50 billion. This will push the deficit owed to over $50 billion meaning that the Government would be in deficit of at least $50 billion.

You want to save $98,000 to buy an boat by making an equal, end of year payment into a brokerage account for the next 9 years. If you expect to earn an annual interest rate of 7.75% on your account, how much do you need to deposit each year into your account?

Answers

Answer:

Annual deposit= $7,930.11

Explanation:

Giving the following information:

FV= $98,000

n= 9 years

i= 0.0775

To calculate the annual deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (98,000*0.0775) / [(1.0775^9) - 1]

A= $7,930.11

Answer: $7,930

Explanation:

The payments are to be equal so this is an annuity. The expected value is to be $98,000 in 9 years so this is a future value of an Annuity.

The formula is;

FV = [tex]P * \frac{[1 + i]^n-1}{i}[/tex]

98,000 = [tex]P * \frac{[1 + 0.075]^9-1}{0.075}[/tex]

98,000 = P * 12.3581

P = 98,000/12.3581

P = $7,930

An 85-year old risk averse investor is not happy about the minimal return she is earning on her current investments. She is stressed about having enough income because her cost of living has been increasing by more than 10% annually. Her current portfolio composition consists of:

40% Money Market Fund
50% Bonds
10% Equities
What changes should you suggest to her portfolio?


A. Reduce the Money Market Fund allocation by 10% (to 30%) and put the released funds in commodities such as gold
B. Reduce the Money Market Fund allocation by 30% (to 10%) and put the released funds in AAA-rated corporate bonds
C. Liquidate the entire Money Market Fund allocation and put the released funds in Equities, bringing that allocation up to 50%
D. Liquidate the entire Money Market Fund allocation and put the released funds in U.S. Treasury securities

Answers

Answer:

B. Reduce the Money Market Fund allocation by 30% (to 10%) and put the released funds in AAA-rated corporate bonds

Explanation:

First of all, since the investor is risk averse and cannot afford to lose money on any risky investment, she should change the mix of her investment portfolio but without increasing risks. Corporate bonds that are AAA-rated carry a very low risk and pay a little higher than money market funds. So a small decrease in money market fund assets and an increase in AAA-rated bonds should yield a slightly higher return.

Investing in equities would be too risky and US Treasuries pay even less interests than money market funds.

Niles believes that the reports are true and does not intend to deceive Prime Business, but does not check the reports before certifying them. Can Niles be held liable to Prime Business

Answers

The complete question is:

Niles, an accountant, certifies several audit reports on Optimal Operational Processes, Inc., Nile's client, knowing that the company intends to use the reports to borrow money from Prime Business Lending Company to buy new equipment. Niles believes that the reports are true and does not intend to deceive Prime Business, but does not check the reports before certifying them. Can Niles be held liable to Prime Business?

Answer:

Yes can be held liable

Explanation:

An accountant that certifies audits of a company is expected.to do his due diligence. In this scenario Niles believed that the reports are true without checking them.

This is an act of negligence on Nile's part and he can be held liable for damages resulting from the oversight.

The certified audit report is not only being used by Prime business but other third parties like investors and other stakeholders. Any of these can hold Mike's liable for any misleading information in the audit reports

"It can be difficult to understand the nature of competition between firms in a market which is driven by change factors like technology, and capital driven mergers. Because of this the Federal Trade Commission has begun to look less at market share and more at the data on actual ______________________________.

Answers

Answer: competition between the businesses.

Explanation:

The Federal Trade Commission was put in place to protect the consumers in the marketplace. This was done by stopping deceptive, fraudulent and unfair practices that exist in the marketplace.

Based on the above analysis in the question, the Federal Trade Commission has begun to look less at market share and more at the data on actual competition between businesses.

3. There a number of market entry strategies that businesses use in entering into markets outside their countries. a) Distinguish between the use of Franchising and Joint Venture as modes of entry into other countries by global businesses. b) What are the respective advantages and disadvantages of both strategies?

Answers

Answer:

a) Distinguish between the use of Franchising and Joint Venture as modes of entry into other countries by global businesses.

Franchising consists in the licensing of aspects of production and intellectual property to a another party: the franchise.

A Joint Venture is a business union between two or more parties, in which they split profit as well as costs and responsabilities.

b) What are the respective advantages and disadvantages of both strategies?

Franchising can be a quicker way to expand into foreign markets. The flexibility of the method, and the lower capital requirements are the reason why. This can be seen in the success that American fast-food brands have had using this method to expand in global markets.

A Joint-Venture can be more difficult to use for market expansion, however, it can be more profitable, because the profit will not be split among as many parties as in franchising, and more importantly, the firm maintains a higher control of the operation.

Cullumber Industries incurs unit costs of $7 ($5 variable and $2 fixed) in making an assembly part for its finished product. A supplier offers to make 14,700 of the assembly part at $6 per unit. If the offer is accepted, Cullumber will save all variable costs but no fixed costs. Prepare an analysis showing the total cost saving, if any, Cullumber will realize by buying the part. (Enter negative amounts using either a negative sign preceding the number e.g. -45 or parentheses e.g. (45).)

Answers

Answer and Explanation:

The preparation of the analysis that depicts the total cost saving is presented below:

Particulars                               Make          Buy      Net Income or decrease

Variable

Manufacturing Cost             $73,500           -          $73,500

                                             (14,700 × $5)

Fixed

Manufacturing cost              $29,400      $29,400    -

                                             (14,700 × $2)

Purchase price

(14,700 × $6)                            -                  $88,200     ($88,200)

Total annual cost                 $102,900      $117,600    ($14,700)

Based on the total annual cost the company should make the product as it saves the cost by $14,700

What was the ratio of per capita income in each of the following countries to that in the United States in the year 2010:

a. Ethiopia
b. Mexico
c. India
d. Japan

Answers

Answer:

For   Countries (per capita)          United States of America (per capita)

Ethiopia:        

$380                                               $48,468

Mexico:                                          

$9,271                                             $48,468

India:

$1,358                                             $48,468

Japan:

$44,508                                          $48,468

Explanation:

Ratio per Capita also known as Gross Domestic Product per Capita (GDP Capita) is the monetary measure of the market value of all the final goods and services produced in a specific time period within the country in view. It is useful for comparing national economies of different countries on the international market.

A single-channel queuing system has an average service time of eight minutes and an average time between arrivals of 10 minutes. The arrival rate is: Group of answer choices 10 per hour. 12.5 per hour. 6 per hour. 7.5 per hour. 8 per hour.

Answers

The correct answer is B. 6 per hour

Explanation:

The term "arrival rate" refers to the number of customers that arrive at a business during a specific time such as an hour or a day. This is determined by how often customers arrive or the time between arrivals. This concept complements the service rate, which refers to the customers that receive a service during a period of time.

In the case presented, it is known the time between arrivals is 10 minutes, this means it is expected every 10 minutes a new customer arrives. Based on this, each hour the business can expect a total of 6 customers as 60 minutes divided by 10 (time between arrivals) = 6 customers. Thus, the rate of arrival is 6 per hour.

Financial capital markets bridge the gap between savers and investors: that is, they find ways to take the inflow of funds from many separate financial capital suppliers and transform it into the funds of financial capital demanders desire. Such financial markets include:_______

Answers

Answer: stocks, bank loans, bonds, and other financial investments.

Explanation:

A capital market is a financial market whereby lequity-backed securities are purchased by individuals or firms and also sold.

Financial capital markets bridge the gap between savers and investors: that is, they find ways to take the inflow of funds from many separate financial capital suppliers and transform it into the funds of financial capital demanders desire.

Such financial markets consists of stocks, bank loans, bonds, and other financial investments.

The minimum desired rate of return for net present value analysis is 12%. The present value of $1 at compound interest of 12% for 1, 2, 3, and 4 years is 0.893, 0.797, 0.712, and 0.636, respectively. Determine the net present value. $

Answers

Answer: $18,848

Explanation:

The Net Present Value of a project is the difference between the present values of the cash outflows and inflows.

Present Values of the Cash flows;

Year 1

= 150,000 * 0.893

= $133,950

Year 2

= 130,000 * 0.797

= $103,610

Year 3

=104,000 * 0.712

= $74,048

Year 4

= 90,000 * 0.636

= $57,240

Net Present Value = Cash inflows - Outflow

= 133,950 +103,610 + 74,048 + 57,240 - 350,000

= $18,848

The independent variable in the hypothesis "the longer a U.S. line worker has been employed at a U.S.-based assembly plant, the more difficult it is for that worker to find new employment when the assembly plant moves to Mexico" is _____ .

Answers

Answer:

Independent Variable

"The longer a U.S. line worker has been employed at a U.S.-based assembly plant..."

Explanation:

The independent variable is the element or variable that is independent of another variable.  In this case, "how difficult it is for the line worker to find new employment when the assembly plant moves to Mexico" a dependent variable, which depends on the length of time that the "U.S. line worker has been employed at a U.S.-based assembly plant," and not vice versa.

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Career Connection: Shin-fong How does Shin-fong keep track of his finances?

Answers

Answer:

By means of a budget he prepared.

Explanation:

According to the information available, Shing-fong has a carefully thought out strategy. Here's some of what he does;

he keeps tracks of his finances by means of a budget plan.he views all his transactions also checking his debit or credit cards to keep track of how much he spendsShing-Fong avoids eating out as much as he used to and preparing cheaper food at home.he also avoids unnecessarily spending with friends whenever he is invited.

The Government Accounting Office (GAO) announces deep cuts to social security, Medicare, and welfare programs. Which determinant of aggregate demand causes the change

Answers

Answer:

Consumer spending

Explanation:

Consumer spending is the amount that individuals and families spend on final goods and services for personal use and enjoyment in the economy. Contemporary measures of consumer spending include all private purchases of durable goods, durable goods and services. Consumer spending can be thought of as a combination of personal savings, investment cost, and output in the economy.so correct answer is Consumer spending

A stock has an expected return of 13.5 percent, its beta is 1.40, and the expected return on the market is 11.5 percent. What must the risk-free rate be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

Answer:

The risk free rate is 6.50%

Explanation:

The required rate of return is the minimum return that investors demand/expect on a stock based on the systematic risk of the stock as given by the beta. The expected or required rate of return on a stock can be calculated using the CAPM equation.

The equation is,

r = rRF + Beta * (rM - rRF)

Where,

rRF is the risk free rate rM is the return on market

As we know the figures for r, Beta and rM, we will input these figures in the equation to calculate risk free rate.

Let risk free rate be x.

0.135 = x + 1.4 * (0.115 - x)

0.135 = x + 0.161 - 1.4x

0.135 - 0.161  =  x - 1.4x

-0.026  =  -0.4x

-0.026 / -0.4 = x

x =  0.065 or 6.50%

r = 0.1475 or 14.75%

_____ is a method for determining the estimated annual costs and benefits for a project and the resulting annual cash flow.

Answers

Answer:

Cash flow analysis, is the right answer.

Explanation:

“Cash flow analysis” is the method that determined the actual cash that goes out of the business and the actual cash that comes in the business. Basically this method is used for financial purposes. This method exhibits the actual cost that the business has incurred and the actual benefit it has earned. Moreover, new investors that invest in the company primarily sees the financial report of the company and then take the decision to invest.

A survey of entrepreneurs focused on their job characteristics, work habits, social activities, leisure time, etc. One question put to each entrepreneur was, "What make of car (U.S., Europe, or Japan) do you drive

Answers

Answer: Hello below is the complete question

A survey of entrepreneurs focused on their job characteristics, work habits, social activities, leisure time, etc. One question put to each entrepreneur was, "What make of car (U.S., Europe, or Japan) do you drive?" The responses (number in each category) for a sample of 100 entrepreneurs are summarized below. The goal of the analysis is to determine if the proportions of entrepreneurs who drive American, European, and Japanese cars differ.

U.S. Europe Japan

40 35 25

In order to determine whether the true proportions in each response category differ, a one-way chi-square analysis should be conducted. Suppose the p-value for the test was calculated to be p=0.1738 . What is the appropriate conclusion to make when testing at α = 0.10?

Answer : The conclusion to be drawn is that We cannot reject the Null hypothesis if we use a one-way chi square analysis because at α = 0.1 from the chi-square  tabulated p-value = 0.584 while the calculated /given p-value is = 0.1738

Explanation:

Data given:

p-value = 0.1738

α = 0.10

sample size = 100

U.S cars = 40,      Europe cars = 35,   Japan cars = 25

The conclusion to be drawn is that We cannot reject the Null hypothesis if we use a one-way chi square analysis because at α = 0.1 from the chi-square  tabulated p-value = 0.584 while the calculated /given p-value is = 0.1738

David Ortiz Motors has a target capital structure of 45% debt and 55% equity. The yield to maturity on the company's outstanding bonds is 12%, and the company's tax rate is 40%. Ortiz's CFO has calculated the company's WACC as 11.35%. What is the company's cost of equity capital

Answers

Answer:

the company's cost of equity capital is 14.75 %.

Explanation:

WACC = ke × (E/V) + kd × (D/V)

Where,

ke = cost of equity

    = this is unknown

E/V = Weight of Equity

      = 55%

kd = cost of debt

     = Interest × ( 1 - tax rate)

     = 12% × ( 1 - 0.40)

     = 7.20 %

D/V = Weight of Debt

       = 45%

Therefore,

WACC = ke × (E/V) + kd × (D/V)

11.35% = 55%ke + 7.20 % × 45%

11.35% = 55%ke + 3.24 %

55%ke = 8.11 %

ke = 14.75 %

Buckson Framing's cost formula for its supplies cost is $1,350 per month plus $18 per frame. For the month of June, the company planned for activity of 716 frames, but the actual level of activity was 713 frames. The actual supplies cost for the month was $14,820. The supplies cost in the flexible budget for June would be closest to:

Answers

Answer:

c. $ 14,238

Explanation:

Computation of costs in the flexible budget

Planned activity                                                           716 units

Budgeted cost per unit                                              $ 18 per frame

Total planned variable cost - 716 units * $ 18            $ 12,888

Fixed monthly cost                                                      $   1,350        

Total supplies cost in  flexible budget for June      $ 14,238  

The other information regarding the actual costs and actual production are not required for determining the budgted cost for supplies.

A project has estimated annual net cash flows of $56,600. It is estimated to cost $339,600.

Required:
Determine the cash payback period.

Answers

Answer:

It will take exactly 6 full years to cover for the initial investment.

Explanation:

Giving the following information:

Cash flow= $56,600

Initial investment= 339,600

The payback period is the time required for the cash flow to cover the initial investment:

Year 1= 56,600 - 339,600= -283,000

Year 2= 56,600 - 283,000= -226,400

Year 3= 56,600 - 226,400= -169,800

Year 4= 56,600 - 169,800= -113,200

Year 5= 56,600 - 113,200= -56,600

Year 6= 56,600 - 56,600= 0

It will take exactly 6 full years to cover for the initial investment.

The ________ is the pipeline through which products, their ownership, communication, financing and payment, and risk flow to the consumer.

Answers

Answer: Marketing channel

Explanation: The marketing channel is simply the pipeline through which products, their ownership, communication, financing and payment, and risk flow to the consumer. It is defined as a set of interdependent organizations that help ease the transfer of ownership as products move from producer to business user or consumer thereby creating a continuous and seamless supply chain. They help facilitate the physical flow of goods through the supply chain,and in the marketing mix represents "place" or "distribution".

A company would like to evaluate two incentive schemes that take effect once the worker exceeds standard performance. In the first case the benefits are split 30% to the worker and 70% to the company up to 120% performance. If the worker exceeds 120% performance, all of the earnings go to the worker. In the second case, all earnings beyond standard performance are split 50/50 between the worker and the company.
a. Plot the earnings for each scheme.
b. Derive the equations for worker earnings and normalized unit labor costs for each scheme
c. Find the point at which the two plans break even.
d. Which do you think would the company prefer?

Answers

Answer:

B) plan 1 : worker earning  y = x - 0.14  ,  unit labor = [tex]\frac{x-(0.14)}{x}[/tex]

   plan 2 : worker earning y  = 0.5x + 0.5, unit labor = (0.5x + 0.5) / x

C) At 128%

D ) plan D IS PREFERABLE

Explanation:

In the first case Benefits are split : 30% to worker , 70% to company ( up to 120% ) performance

In the second case benefits 50% go to the worker and 50% go the company

B) The equations for worker earnings and normalized unit labor costs for each scheme

Plan 1 :

y  ( percentage earning of worker ) = 1

unit labor cost = Y / 1

y = 0 - 30

unit labor = 0.3 / x

y = x - 0.14  therefore unit labor = [tex]\frac{x-(0.14)}{x}[/tex]

plan 2 :

y  ( percentage earning of worker ) = 1,   y  = 0.5x + 0.5

unit labor cost :  Y / 1  =  (0.5x + 0.5) / x

C )  The point at which the two plans break even

0.5x + 0.5 = x - 0.14

0.5 + 0.14 = x - 0.5x

0.64 = x(1 - 0.5 )

x = 0.64 / 0.5 =  1.28 = 128%

D) The company would prefer plan 1

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