find the maximum profit and number of untis that must be produced and sold in order to yield the maximum profit

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Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that​ revenue, Upper R left parenthesis x right parenthesisR(x)​, and​ cost, Upper C left parenthesis x right parenthesisC(x)​, are in thousands of​ dollars, and x is in thousands of unitsR(x)=6x-2x^2 , C(x)=x^3-3x^2+4x+1The production level for the maximum profit is about ____ units.

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Answer:

The production level for the maximum profit is about 1215 units.

Explanation:

The given income is R(x)= 6x-2x2 and the given cost is C(x)= x3-3x2+4x+1 where x is the quantity of units created and sold.

At that point the benefit work is P(x) = R(x)- C(x) = (6x-2x2) – (x3-3x2+4x+1) = - x3+x2+2x - 1.

The benefit will be most extreme when dP/dx is 0 and d2P/dx2 is negative. Here, dP/dx = - 3x2+2x+2 and d2P/dx2 = - 6x+2 .

On utilizing the quadratic recipe, on the off chance that dP/dx = 0, at that point x = [ - 2 ± √{ 22-4*(- 3)*2]/2*(- 3) = [-2 ± √(4+24)]/(- 6) = (2± √ 28)/6 = (1 ± √7)/3 . Since x can't be negative, consequently x = (1 + √7)/3 = 1.215250437 , state 1.215 ( on adjusting to the closest thousandth).

Likewise, d2P/dx2 is negative when x = 1.215, at that point .

Subsequently, the benefit will be greatest when 1215 units are created and sold.

The creation level for the greatest benefit is around 1215 units.


Related Questions

An investor receives a 15% total return by purchasing a stock for $40 and selling it after one year with a 10% capital gain. How much was received in dividend income during the year

Answers

Answer:

Dividend per share = $2

Explanation:

The total yield or return on a stock consists of two components namely dividend yield and capital gains yield.

Total yield or return = Dividend yield + Capital gains yield

If the total return is 15% while the capital gains yield was 10%, the dividend yield on the stock will be,

0.15 = Dividend yield + 0.1

0.15 - 0.1 = Dividend Yield

Dividend Yield = 0.05 or 5%

Thus, dividend income per share will be,

0.05 = Dividend per share / 40

0.05 * 40 = Dividend per share

Dividend per share = $2

What was the weighted average interest rate Colgate faced on its short-term borrowings in 2013? Enter with 1 decimal place and with % sign (Ex: 9.9%)

Answers

Answer:

The weighted average interest rate that Colgate faced on its short-term borrowings in 2013 was:

2.2%.

Explanation:

On page 62 of its 10-K annual report for the fiscal year ended December 31, 2013, it specifically reported that "the weighted-average interest rate on short-term borrowings of $13 in 2013 and $54 in 2012 included in Notes and loans payable in the Consolidated Balance Sheets as of December 31, 2013 and 2012 was 2.2% and 1.0%, respectively."  To calculate the weighted-average interest rate, we multiply each loan amount by its interest rate to obtain the "per loan weight factor."  Then add the per loan weight factors together. Add the loan amounts together. Divide the "total per loan weight factor" by the "total loan amount," and then multiply by 100 to calculate the weighted average.

During​ February, assets increased by 87000 and liabilities increased by 31000 . Equity must have:___________.
a. increased by 56000
b. increased by 118000
c. decreased by 56000
d. decreased by 118000

Answers

Answer:

a. increased by $56,000

Explanation:

General accounting equation ;

Assets = Liabilities + Owners equity

Owners equity = Assets - Liabilities.

Therefore,

Increase in stockholder's equity

= $87,000 - $31,000

= $56,000

​Connecticut, Inc. uses the indirect method to prepare its statement of cash flows. Refer to the following portion of the comparative balance​ sheet: ​Connecticut, Inc. Comparative Balance Sheet December​ 31, 2019 and 2018 2019 2018 Increase​ / ​(Decrease) Cash Accounts Receivable ​(​) Merchandise Inventory Plant and Equipment Accumulated DepreciationPlant and Equipment ​(​) ​(​) ​(​) Total Assets Additional information provided by the company includes the​ following: 1. Equipment was purchased for with cash. 2. Equipment with a cost of and accumulated depreciation of was sold for . What was the amount of net cash provided by​ (used for) investing​ activities?

Answers

Answer:

Net cash used by investing activities  -$16,000

Explanation:

The computation of the amount of net cash provided or used by investing activities is shown below:

Equipment purchase for cash            -$66,000  

Proceeds from the sale of equipment $50,000  

Net cash used by investing activities  -$16,000

The purchase is a cash outflow so it is in negative sign while the sale is cash inflow so it is to be shown in a positive sign

For a company with a product mix of 40% of product A and 30% each of products B and C, which of the following mixed-model sequences best reflects the lean philosophy?
A. BBAACCABBC.
B. AAABBCCCBB.
C. BBBBAAACCC.
D. ACBACABCAB.
E. BACBACBACB.

Answers

Answer:

E. BACBACBACB

Explanation:

The lean philosophy was originated from manufacturing practices but has grown to cover all aspects of an organization. The philosophy discourages waste by encouraging efficiency which is directed at continuous improvement for the goal of creating value for the customer. In the example above, applying lean philosophy, we would pick the last option since this reduces waste of inventory by making sure that the product with the highest demand comes first; therefore we sequence as per demand rate under lean philosophy to reduce waste and increase efficiency.

Assume that the substitution effect is large relative to the income effect. If a tax reform is designed to increase saving, what does it do to the interest rate and spending on capital goods?

a.

It increases the interest rate and decreases spending on capital goods.

b.

It increases the interest rate and increases spending on capital goods.

c.

It decreases the interest rate and increases spending on capital goods.

d.

It decreases the interest rate and decreases spending on capital goods.

Answers

Answer:

a.

It increases the interest rate and decreases spending on capital goods.

Explanation:

Tax reform is a process through which most government controls the spending on capital goods and encourage local goods purchases. This is accomplished through increase on the taxes on those goods in such a way that, it becomes highly discouraging to spend such amount on it thereby encouraging savings.

Rehmer Corporation is working on its direct labor budget for the next two months. Each unit of output requires 0.06 direct labor-hours. The direct labor rate is $8.00 per direct labor-hour. The production budget calls for producing 5,300 units in June and 5,800 units in July. Required: Prepare the direct labor budget for the next two months, assuming that the direct labor work force is fully adjusted to the total direct labor-hours needed each month. (Round your answers to 2 decimal places.)

Answers

Answer:

Results are below.

Explanation:

Giving the following information:

Each unit of output requires 0.06 direct labor-hours.

The direct labor rate is $8.00 per direct labor-hour.

The production budget calls for producing 5,300 units in June and 5,800 units in July.

Direct labor budget June:

Direct labor hours= 5,300*0.06= 318

Direct labor cost= 318*8= $2,544

Direct labor budget July:

Direct labor hours= 5,800*0.06= 348

Direct labor cost= 348*8= $2,784

Devin is a landscaper who needs to prepare different types of grass seed for his customers' yards. Bluegrass seed costs $2.00 per pound while drought-resistant seed costs $3.00 per pound. If for a particular day the two types of grass seed totaled $68.00 and together weighed 25 pounds, how many pounds of bluegrass seed did Devin prepare?

Answers

Answer:

7 pounds

Explanation:

To solve this we need to use simultaneous algebraic equations.

Assume

x  = 1 pound of bluegrass seed

y = 1 pound of drought resistant seed

Our first equation considers the number of pounds

x + y = 25

y = 25 - x

For the combined bluegrass seeds and thought resistant seeds bought

For the second equation we consider the price

2x + 3y = 68

Substitute value of y in equation 2

2x + 3(25 - x) = 68

2x + 75 - 3x = 68

x= 7

So the amount of bluegrass seed is 7

We can also get the amount of drought resistant seed from equation

7 + y = 25

y = 18

Assume that Cane expects to produce and sell 106,000 Betas during the current year. One of Cane’s sales representatives has found a new customer who is willing to buy 4,000 additional Betas for a price of $74 per unit. What is the financial advantage (disadvantage) of accepting the new customer's order?

Answers

Answer:

The first part of the question is missing, so I looked for a similar question to fill in the blanks:

Relevant production costs per unit:

Direct material $30 Direct labor $20 Variable manufacturing overhead $7 Variable selling expenses $12 Total relevant costs per unit $69

incremental revenue if special order is accepted = 4,000 x $74 = $296,000

incremental costs if special order is accepted = 4,000 x $69 = $276,000

financial advantage of accepting special order = $296,000 - $276,000 = $20,000

If the special order is accepted, operating profits will increase by $20,000

A manufacturer of microwaves has discovered that male shoppers have little value for microwaves and attribute almost no extra value to an auto- defrost feature. Female shoppers generally value microwaves more than men do and attribute greater value to the auto-defrost feature. There is little additional cost to incorporating an auto-defrost feature. Since men and women cannot be charged different prices for the same product, the manufacturer is considering introducing two different models. The manufacturer has determined that men value a simple microwave at $56 and one with auto-defrost at $74, while women value a simple microwave at $74 and one with auto-defrost at $130.
Suppose the manufacturer is considering three pricing strategies:
1. Market a single microwave, with auto-defrost, at $69, to both men and women.
2. Market a single microwave, with auto-defrost, at $121, to only women.
3. Market a simple microwave to men, at $52. Market a microwave, with auto-defrost, to women at $103. For simplicity, assume there is only 1 man and 1 woman and that if the price of a microwave is equal to an individual's willingness to pay, the individual will purchase the microwave.

Answers

Answer:

If the number of male and female buyers is the same, then the best pricing strategy is to offer 2 different microwaves (option 3). One simple and cheap microwave for men and one with auto-defrost for women.

Explanation:

If most buyers were women (significantly higher), then option 2 would be better, since $121 per microwave is a much higher price and even though total sales numbers may not be maximized, profits will probably be maximized.

If most buyers are men, then option 1 would be probably better, depending on the proportion of male vs female buyers.

​Sally's Fries sells five large fries for every four small ones. A small fry sells for $2.00 with a variable cost of $0.25 . A large fry sells for with a variable cost of What is the weighted average contribution​ margin?

Answers

Answer:

Weighted average contribution margin= (weighted average selling price - weighted average unitary variable cost)

Explanation:

Sales proportion:

Large fries= 5/9= 0.56

Small fries= 4/9= 0.44

A small fry sells for $2.00 with a variable cost of $0.25.

We need to complete the information to calculate the weighted average contribution margin:

For example= A large fry sells for $2.9 with a variable cost of $0.4

To calculate the weighted-average contribution margin, we need to use the following formula:

Weighted average contribution margin= (weighted average selling price - weighted average unitary variable cost)

Weighted average contribution margin= (0.56*2.9 + 0.44*2) - (0.56*0.4 + 0.44*0.25)

Weighted average contribution margin= 2.504 - 0.334

Weighted average contribution margin= $2.17

Assume you have $1,000,000 to invest Current spot rate of the pound = $1.30 90 day forward rate of pound = $1.28 3 month deposit rate in US = 3% 3 month deposit rate in Great Britain = 4% If you use covered interest arbitrage for a 90-day investment, what will be the amount of U.S.dollars you will have after 90 days? Show your work.

Answers

Answer:

$1,024,000

Explanation:

with your $1,000,000 you can currently buy $1,000,000 / $1.3 = £769,231

then you invest your £769,231 and receive = £769,231 x (1 + 4%) = £800,000

since the forward rate for three months = $1.28, then at the end of the three months you will have £800,000 x $1.28 = $1,024,000

if you simply invested your money in the US, you would earned more money ? $1,000,000 x (1 + 3%) = $1,030,000. You lower gains are the result of the British pound depreciating against the dollar.

Which of the following organizations does notfollow the AICPA's Not-for-Profit Guide?
A) Political parties.
B) Voluntary health and welfare organizations.
C) City libraries.
D) Private foundations.

Answers

Answer: City Libraries

Explanation;

The American Institute of CPAs Not-for-Profit Guide is meant to help Not-for-Profit organizations prepare their financial statements in such a way that they can incorporate the unique aspects of their organization.

Not-for-Profit organizations are private in nature so this guide is mostly for private organizations. City Libraries on the other hand are Government owned and as such will use Government type accounting methods not the AICPA's Not-for-Profit Guide.

Most products in the marketplace are in the ________ stage of the product life cycle.
a) growth
b) development
c) decline
d) maturity
e) introduction

Answers

Answer:

D. Maturity stage

Explanation:

Most products in the marketplace are in the maturity stage of the product life cycle.

There are four stages in the product life cycle:

1. Introduction stage: This is the stage where awareness is created about a new product in the market. Consumers are made to the aware of a new product by advertisement and marketing.

2. Growth: After awareness has been created for the product, there is an increase in firms expansion and demand.

3. Maturity: This is a stage where firms realise more profits due to

reduction in cost of production and marketing.

4. Decline: When the firm start making more peofits, other firms will join the industry leading to competition. This may lead to the product declining if it can't compete in the industry.

Compute the following probabilities:
a. If Y is distributed N (-8,9), Pr (Y≤-12) = —— . (Round your response to four decimal places.)
b. If Y is distributed N (-4,9), Pr (Y>-1) = ——. (Round your response to four decimal places.)
c. If Y is distributed N (40,25), Pr (34≤Y≤44) = ——. (Round your response to four decimal places.)

Answers

Answer: a. 0.3300   b. 0.3707 c. 0.1584

Explanation:

If X is distributed N([tex]\mu,\sigma^2[/tex])  [Normal distribution], then Z-score = [tex]\dfrac{X-\mu}{\sigma}[/tex] .

a. If Y is distributed N (-8,9),

Pr (Y≤-12) [tex]=P(\dfrac{Y-\mu}{\sigma}\leq \dfrac{-12-(-8)}{\sqrt{9}})[/tex]

[tex]=P(Z\leq -1.33)=1-P(Z<1.33)\\\\=1- 0.9082\ \ \ [\text{By z-table}]\\\\= 0.0917[/tex]

b.  If Y is distributed N (-4,9),

Pr (Y>-1) =[tex]=P(\dfrac{Y-\mu}{\sigma}>\dfrac{-1-(-4)}{3})[/tex]

[tex]=P(Z>1)=1-P(Z<1)\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587[/tex]

c. If Y is distributed N (40,25),

Pr (34≤Y≤44) = [tex]P(\dfrac{34-40}{5}<\dfrac{Y-\mu}{\sigma}<\dfrac{44-40}{5})[/tex]

[tex]P(-1.2<Z<0.8)=P(Z<0.8)-P(Z<-1.2)\\\\=P(Z<0.8)-(1-P(Z<1.2))\\\\=0.7881-(1-0.8849)\ \ \ [\text{By z-table}]\\\\=0.6730[/tex]

Balls and Bats, Inc. purchased equipment on January 1, 2005, at a cost of $100,000. The estimated useful life is 4 years with a salvage value of $10,000. Complete the following tasks for this assignment: Prepare two different depreciation schedules for the equipment - one using the double-declining balance method, and the other using the straight-line method. (Round to the nearest dollar). Determine which method would result in the greatest net income for the year ending December 31, 2005

Answers

Answer and Explanation:

The computation of two different depreciation schedules is shown below:-

a. Using the Double-declining balance method

Year            Equipment Cost      Depreciation rate     Amount

2005                $90,000                     50%                  $45,000

2006                $45,000                      50%                  $22,500

2007                $22,500                      50%                  $11,250

2008 No depreciation as it is lower that straight line method that is $22,500 also we took the double rate of 25% so we consider 50%

b. Using the straight line method

Straight Line Depreciation Method:

$100,000 - $10,000

= $90,000

Year            Equipment Cost      Depreciation rate      Amount

2005                $90,000                     25%                      $22,500

2006                $90,000                      25%                     $22,500

2007                $90,000                      25%                     $22,500

2008                $90,000                      25%                     $22,500

Depreciation rate is

= 1 ÷ 4 years

=  25

2. The double declining method reduced the net income while the straight line method increased the net icnome

Dirt is not dirt when it comes to baseball fields.About two-thirds of the pro baseball fields got their dirt from a dirt farm in New Jersey called Partac Peat.The company markets a secret mix for the infield (resilient),the warning track (extra crunchy),and the pitcher's mounds (firm).Mounds come in red,brown,orange,and gray colours.Roger Bossard,the White Sox head groundskeeper,scouted nationwide for dirt before settling on the mix provided by Partac Peat.(He uses sand under the grassy areas of the playing field. )
-Refer to Baseball Dirt.Some of the dirt sold by Partac Peat goes to make clay tennis court surfaces.As the number of people playing tennis increases,so does the demand for new clay courts and,therefore,the demand for Partac Peat clay.This occurs because the demand for Partac Peat is which of the following?
A) inelastic
B) intangible
C) heterogeneous
D) derived

Answers

Answer: D) derived

Explanation:

Derived demand refers to a situation where the demand for a good or service is as a result of the demand in another good or service. For example, if the demand for mobile phones increases, the demand for lithium batteries will increase as well.

In the example, Partac Peat clay demand increases as a result of an increase in the demand for tennis playing therefore it is a derived demand based on the demand for the tennis.

Hejl Catering uses two measures of activity, jobs and meals, in the cost formulas in its budgets and performance reports. The cost formula for catering supplies is $213 per month plus $104 per job plus $23 per meal. A typical job involves serving a number of meals to guests at a corporate function or at a host's home. The company expected its activity in March to be 22 jobs and 82 meals, but the actual activity was 27 jobs and 76 meals. The actual cost for catering supplies in March was $4,713. The spending variance for catering supplies in March would be closest to:

Answers

Answer:

$56 (Favorable)

Explanation:

Standard cost = Actual Quantity * Standard rate

Standard cost = Catering supplies cost + Actual number of jobs * Rate per job) + Actual number of meals * Rate per meal

Standard cost = {213 + (27 jobs * $104 per job) + (76 meals * $23 per job)

Standard cost = ($213 + $2,808) + $1,748

Standard cost = $3,021 + $1,748

Standard cost = $4,769

Spending variance = Actual cost - Standard cost

Spending variance = $4,713 - $4,769

Spending variance = $56 (Favorable)

Given the different perspectives of diverse groups regarding international trade, on what should national trade policy be based

Answers

Answer:

The vast majority of economic perspectives on international trade agree in that international agree is mutually benefitial for all countries. The reason is that international trade allows each country to specialize in the production of those goods and services for which they have a comparative advantage.

However, it is also true that from a social and political perspective, there are many more disagreements. For example, it is true that while international trade benefits most of the population as a whole, some sectors of the population are sometimes negatively affected by its effects.

For this reason, the approach to international trade should be: engage in trade with as many countries as possible, making sure that those groups who become disadvantaged by its effects are supported by a social safety net, and by training programs that can help them find other jobs.

Prior to the merger, Firm A has $1,250 in total earnings with 750 shares outstanding at a market price per share of $42. Firm B has $740 in total earnings with 220 shares outstanding at $21 per share. Assume Firm A acquires Firm B via an exchange of stock of 0.5 share of A’s stock for each share of B's stock. Both A and B have no debt outstanding and the merger does not create any synergy. What will the earnings per share of Firm A be after the merger? A) $2.10 B) $1.67 C) $3.36 D) $2.05 E) $2.31

Answers

Answer:

E) $2.31

Explanation:

Shares offered to Firm B = Shares outstanding * 0.5

= 220 * 0.5

= 110 shares

Total shares of firm A after merger = Shares outstanding before merger + Shares offered to Firm B

= 750 + 110

= 860 shares

Total earnings of firm A after merger = $1,250 + 740

Total earnings of firm A after merger = $1,990

Earnings per share of firm A after merger = Total earnings of firm A after merger / Total shares of firm A after merger

Earnings per share of firm A after merger = $1,990 / 860

Earnings per share of firm A after merger = $2.31 per share

Which of the following strategies yields positive profits when the stock price is low but not when the stock price is high?

a. Straddle
b. Bullish spread
c. Protective put
d. bearish spread

Answers

Answer: d. bearish spread

Explanation:

With a bearish spread, the investor believes the market to be heading for a price decline in the stock of interest. They will therefore purchase a put option on it. However, they also want to reduce the cost of the transaction so what they will do is to simultaneously buy 2 put options for the same asset for the same date of expiration but with different exercise prices.

If the price of the stock then falls, they will make a profit on both aand reduce costs.

TRV is expecting to purchase a new manufacturing line. It is expected to cost 119,000 and will require an additional 12,000 to set-up. It will generate $25,000 annually for the next 5 years. What is the modified internal rate of return if the cost of capital is 12% and the expected rate on reinvestments is equal to 8%?

Answers

Answer:

2.28%

Explanation:

initial outlay = $119,000 + $12,000 = $131,000

cash flows 1 - 5 = $25,000

Re = 12%

rate of reinvestments = 8%

using a financial calculator, the MIRR = 2.28%

if you want to calculate MIRR manually, you must solve the following:

MIRR = ⁿ√(future value of cash flows at reinvested rate / present value of negative values discounted at financing rate) - 1

n = 5future value of cash flows at reinvested rate = $25,000 x 5.8666 (FV annuity factor) = $146,665present value of negative cash flows = $131,000

MIRR = ⁵√($146,665 / $131,000) - 1 = 1.0228 - 1 = 0.0228 = 2.28%

To manufacture protective cases and keep its operations running smoothly, Connie’s Case Creations makes purchases from a number of suppliers. Using the drop down menu, match the description of each purchase with the corresponding business-product classification.
Purchase of large-scale machinery to mold each case.
Purchase of cleaning fluids for maintaining manufacturing equipment.
Purchase of accounting services for tax preparation.
Purchase of bulk plastics to be molded into cases.
Purchase of multifunction laser printers for office use.
Purchase of leather straps to be fastened to finished cases.
Purchase of plastic glues to attach decorations to finished cases.

Answers

Answer:

Purchase of large-scale machinery to mold each case.- Major Equipment

Major equipment are large scale type assets.

Purchase of cleaning fluids for maintaining manufacturing equipment - Supply

Supply goods are bought to enable the company maintain their equipment.

Purchase of accounting services for tax preparation - Business Service

They are services purchased to maintain the business.

Purchase of bulk plastics to be molded into cases - Raw Materials

These are the commodity goods that will be used to make finished products.

Purchase of multifunction laser printers for office use - Accessory Equipment  

Accessory equipment are light in nature but are still needed to help in the operations of the business.

Purchase of leather straps to be fastened to finished cases - Component Part

Purchase of plastic glues to attach decorations to finished cases - Process Material

These are products that will be used in the production process.

high-end whole home electronic systems. The company provides a one-year warranty for all products sold. The company estimates that the warranty cost is $310 per unit sold and reported a liability for estimated warranty costs $10.6 million at the beginning of this year. If during the current year, the company sold 59500 units for a total of $324 million and paid warranty claims of $12120000 on current and prior year sales, what amount of liability would the company report on its balance sheet at the end of the current year?

Answers

Answer:

$16,925,000

Explanation:

The company estimates that the warranty cost is $310 per units sold

The estimated warranty costs at the beginning of the year is $10,600,000

In the current year, the company sold 59,500 units

The company paid warranty claims of $12120000

Therefore, the amount of liability that should be reported at the end of the current year can be calculated as follows

= 10,600,000+(59,500×310)-$12,120,000

= $10,600,000+18,445,000 -$12,120,000

= $29,045,000-$12,120,000

= $16,925,000

Hence the amount of liability that should be reported on the balance sheet at the end of the current year is $16,925,000

Karen wants to create a visual aid to compare 1st, 2nd, 3rd and 4th quarter sales. Which
visual aid would she use?
Pie chart
Bar graph
Picture
Line graph

Answers

Answer:

Pie Chart

Explanation:

A pie chart is a statistical graphic chart in a shape of a pie. Usually, it is divided into part, or slices if you may, to show and explain numerical proportion.

In pie charts, the length of the arc of each slice or part, is usually proportional to the quantity it represents.

Pie charts are generally used to show percentage or proportional data. Normally, if percentage is used, the percentage value is marked or written near the part or slice it represents.

Answer:

c

Explanation:

What do you notice about the payback period as the discount rate rises? Explain this relationship
Cash flow A B
Cost $8,000 $90,000
Cash flow year 1 $2,857 $9,000
Cash flow year 2 $2,857 $18,000
Cash flow year 3 $2,857 $27,000
Cash flow year 4 $2,857 $36,000
Cash flow year 5 $2,857 $13,500
Cash flow year 6 $2,857 $0
1. With a discount rate of 4%, the cash outflow for project A is:________.
2. Discount rate of 12%, the cash outflow for project B is:________.
3. Discount rate of 20%, the cash outflow for project B is:________.
4. As the discount rate increased, the discount payback perioud_______. The reason is that the future dollars are worth______in present value as the discount rate increases requiring______future dollars to recover the present value of the outlay.

Answers

Answer:

Payback Period as the discount rate rises

1. With a discount rate of 4%, the cash outflow for project A is:__$8,000______.

2. Discount rate of 12%, the cash outflow for project B is:__$90,000______.

3. Discount rate of 20%, the cash outflow for project B is:__$90,000______.

4. As the discount rate increased, the discounted payback perioud__increased_____. The reason is that the future dollars are worth__less____in present value as the discount rate increases requiring__more____future dollars to recover the present value of the outlay.

Explanation:

a) Data and Calculations:

                                         

Cash flow                   A               B            Discount             Discount

                                                             Factor at 12%  PV   Factor 20%  PV

Cost                        $8,000   $90,000      

Cash flow year 1    $2,857      $9,000      0.893     $8,037    0.833   $7,497

Cash flow year 2   $2,857     $18,000      0.797      14,346    0.694   12,492

Cash flow year 3   $2,857    $27,000      0.712      19,224    0.579   15,552

Cash flow year 4   $2,857    $36,000      0.636    22,896    0.482   17,352

Cash flow year 5   $2,857    $13,500      0.567       7,655     0.402   5,427

Cash flow year 6  $2,857             $0

PV at 4%                                                     12%     $72,158    20%  $58,320

Annuity for Project A

= $14,976 ($2,857 x 5.242) at year 6

= $12,719 ($2,857 x 4.452) at year 5

= $10,371 ($2,857 x 3.630|) at year 4

= $7,928 ($2857 x 2.775) at year 3

Suppose a State of California bond will pay $1,000 eight years from now. If the going interest rate on these 8-year bonds is 5.5%, how much is the bond worth today

Answers

Answer:

The bond is worth $651.59 today

Explanation:

FV = $1000

N = 8

I/Y = 5.5%

Present Value = ?

PV = FV*(1+r)^(-n)

PV =  $1000 * (1 + 0.055)^-8

PV =  $1000 * (1.055)^-8

PV =  $1000 * 0.651599

PV = $651.59

The combo box (form control) option in macros can be used to substitute for ___ when doing scenario analysis.

Answers

Answer:

Data validation

Explanation:

Here the combo box determines the validating the data and also provides the data list that is to be chosen from the given set of the data. Now if can be chosen from the drop-down list with respect to combo box also the motive would remain the same as it comes under data validation option

Hence, the correct option is data validation

Which of the following statements is true with regard to the reimbursement of employee business expenses?

a. Excess reimbursements of ordinary and necessary expenses are never subject to withholding.
b. Provided that reimbursements are received by an employee under a plan which requires the employee to substantiate the expenses to his employer, the amounts are excluded from the definition of wages subject to withholding, without regard to whether the employee actually substantiates the expenditures.
c. Reimbursements of ordinary and necessary expenses are subject to federal income tax withholding.
d. Reimbursements received by an employee under a plan which contains a requirement to return excess amounts, and the employee does so on a timely basis, are excluded from the definition of wages subject to withholding.
e. All of these choices are true.

Answers

Answer: All ofthe choices are true

Explanation:

It should be noted that the reimbursements of ordinary and necessary expenses are subject to federal income tax withholding. Also, excess reimbursements of ordinary and necessary expenses are never subject to withholding.

Lastly, the reimbursements that is received by an employee under a plan which contains a requirement to return excess amounts, and the employee does so on a timely basis, are excluded from the definition of wages subject to withholding.

Therefore, all the options are correct.

For a portfolio that is equally invested in Johnson​ & Johnson's and​ Walgreen's stock,​ calculate: a. The expected return. b. The volatility​ (standard deviation).

Answers

Full question attached

Answer:

A. 8.6%

B. 14.09%

Explanation:

A) given that portfolio weights =50% each

Expected return= w*r+w*r where w is portfolio weight and r is return on each asset:

=0.50*0.078+0.50*0.094= 0.086

=8.6%

B) The volatility​ (standard deviation)

=√w²*std²+w²*std²+2*w*w*std*std*corr

=√0.50²*0.157²+0.50²*0.203²+2*0.50*0.50*0.157*0.203*0.213

=0.1409

=14.09%

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