Answer:
Beta= 1.05
Explanation:
Giving the following information:
A two-stock portfolio is equally invested in stocks with betas of 1.4 and 0.7.
To calculate the Beta of the portfolio, we need to use the following formula:
Beta= (proportion of investment A*beta A) + (proportion of investment B*beta B)
Beta= (0.5*1.4) + (0.5*0.7)
Beta= 1.05
Mary, Ann, and Beth are partners. Their capital balances are, ; ; and , respectively. As per the partnership agreement, Mary receives a profit share of 2/9; Ann has 4/9; and Beth has 3/9. Beth withdraws from the partnership by receiving . What will be the impact of this transaction on the journal entries?
Complete Question:
Mary, Ann, and Beth are partners. Their capital balances are $23,000, $41,000 and $30,000 respectively As per the partnership agreement Mary receives a profit share of 2/9, Ann has 4/9, and Beth has 39 Beth withdraws from the partnership by receiving $23.000 What will be the impact of this transaction on the journal entries?
A. Cash will be debited for $30,000
B. Mary. Capital will be debited for S 7,000
C. Ann, capital will be credited for $7,000
D. Beth, Capital will be debited for $30,000
Answer:
D. Beth, Capital will be debited for $30,000
Explanation:
The entry would be reduction in capital by $30,000 because his investment is sold for $23,000 and the remainder $7,000 would be profit for two remaining partners and would be shared with their respective ownership.
The entry is as under:
Dr Beth Capital Account $30,000
Cr Mary Capital A/c $2,333 (1/3) of $7,000
Cr Ann Capital A/c $4,667 (1/3) of $7,000
Cr Cash Account $23,000
Hence the option D is correct here.
Option A is incorrect because cash wasn't debited with.
Option B is incorrect because Mary capital wasn't debited, it was credited.
Option C is also incorrect because Ann's capital was credited but with (2/3) share.
By shifting aggregate demand, monetary policy can affect ________ and ________.
a. Real gross domestic product (GDP); unemployment
b. Interest rates; unemployment
c. Real GDP; interest rates
d. Money supply; real GDP
e. Money supply; unemployment
Answer: a. Real gross domestic product (GDP); unemployment
Explanation:
Monetary policy refers to the Central Bank of a country changing the supply of money as well as the interest rate in the country to either stimulate, slow down or keep the economy stable.
When expansionary monetary policy is implemented for instance, it will lead to more money in the economy as well as a reduced interest rate. This will spur companies to borrow to invest and consumers to borrow to consume. This will shift Aggregate Demand to the right and lead to a higher real GDP.
As earlier said, companies to borrow to invest and start up new projects or expand. This will need more labor so more people will be hired thereby pushing the unemployment rate downward.
Contractionary monetary policy would have the opposite effect.
You deposit $1,100 at the end of each year into an account paying 9.1 percent interest.
(a) How much money will you have in the account in 19 years?
(b) How much will you have if you make deposits for 38 years?
Answer:
a.
The money that we will have in account is $51156.41
b.
The money that we will have in account is $318808.31
Explanation:
a.
The deposits made in the account represent an annuity pattern as the deposits made are of a constant amount, are made after equal interval of time and are for a defined time period. Thus, to calculate the value of money that we will have after 19 years, we will use the formula for the future value of annuity.
The formula for the future value of annuity is attached.
FV = 1100 * [ (1+0.091)^19 - 1 / 0.091 ]
FV = $51156.41178
b.
The same formula for the future value of annuity will be used and we will change n from 19 to 38.
FV = 1100 * [ (1+0.091)^38 - 1 / 0.091 ]
FV = $318808.3149
Kesterson Corporation has provided the following information: Cost per Unit Cost per Period Direct materials $ 6.60 Direct labor $ 3.90 Variable manufacturing overhead $ 1.55 Fixed manufacturing overhead $ 27,900 Sales commissions $ 1.90 Variable administrative expense $ 0.60 Fixed selling and administrative expense $ 7,200 The incremental manufacturing cost that the company will incur if it increases production from 9,000 to 9,001 units is closest to:
Answer:
Incremental cost= $12.05
Explanation:
Giving the following information:
Direct materials $ 6.60
Direct labor $ 3.90
Variable manufacturing overhead $1.55
I will assume that the production level is between the relevant rage, therefore, fixed costs remain constant.
Incremental cost= total variable manufacturing cost
Incremental cost= 6.6 + 3.9 + 1.55
Incremental cost= $12.05
The comparative condensed income statements of Marks Corporation are shown below. MARKS CORPORATION Comparative Condensed Income Statements For the Years Ended December 31 2017 2016 Net sales $620,000 $500,000 Cost of goods sold 450,000 400,000 Gross profit 170,000 100,000 Operating expenses 54,000 40,000 Net income $116,000 $60,000 Prepare a horizontal analysis of the income statement data for Marks Corporation using 2016 as a base. (Round percentages to 1 decimal place, e.g. 12.1%.) MARKS CORPORATION Condensed Income Statements For the Years Ended December 31 Increase or (Decrease) During 2016 2017 2016 Amount Percentage Net sales $620,000 $500,000 $ % Cost of goods sold 450,000 400,000 % Gross profit 170,000 100,000 % Operating expenses 54,000 40,000 % Net income $116,000 $60,000 $ % Prepare a vertical analysis of the income statement data for Marks Corporation in columnar form for both years. (Round percentages to 1 decimal place, e.g. 12.1%.) MARKS CORPORATION Condensed Income Statements For the Years Ended December 31 2017 2016 Amount Percentage Amount Percentage Net sales $620,000 % $500,000 % Cost of goods sold 450,000 % 400,000 % Gross profit 170,000 % 100,000 % Operating expenses 54,000 % 40,000 % Net income $116,000 % $60,000 %
Answer:
Marks Corporation
1. Horizontal Analysis:
2017 2016 Increase %
Net sales $620,000 $500,000 $120,000 24%
Cost of goods sold 450,000 400,000 50,000 12.5%
Gross profit 170,000 100,000 70,000 70%
Operating expenses 54,000 40,000 14,000 35%
Net income $116,000 $60,000 56,000 93%
2. Vertical Analysis:
2017 % 2016 %
Net sales $620,000 100% $500,00 100%
Cost of goods sold 450,000 72.6% 400,000 80%
Gross profit 170,000 27.4% 100,000 20%
Operating expenses 54,000 8.7% 40,000 8%
Net income $116,000 18.7% $60,000 12%
Explanation:
Data and Calculations:
MARKS CORPORATION Comparative Condensed Income Statements For the Years Ended December 31
2017 2016 Increase %
Net sales $620,000 $500,000 $120,000 24%
Cost of goods sold 450,000 400,000 50,000 12.5%
Gross profit 170,000 100,000 70,000 70%
Operating expenses 54,000 40,000 14,000 35%
Net income $116,000 $60,000 56,000 93%
For the horizontal analysis, the 2017 figure is compared to the 2016 figure. The Percentage increase is the difference divided by the base year, 2016's figures, before being multiplied by 100.
For the vertical analysis, the base is the sales figure. The relationship between the sales and other elements are established through ratio analysis.
Mr. and Mrs. Haley are purchasing beachfront property in an upscale development. The home comes equipped with all furnishings. The Haleys want to get a mortgage that will cover the purchase price plus all the furnishings. What kind of mortgage are they looking for?
Answer: Package Mortgage
Explanation:
The Package Mortgage is a type of mortgage offered to prospective home buyers who want to buy a house that is already fully furnished. This way they do not have to spend extra on buying the furniture. They could just pay for everything as a Package.
The downside of this is that it is higher than other related mortgages and so draws a higher mortgage payment. Also, the collateral will not just include the property itself, but the furniture that the house came with.
On January 1, 2021, an investor paid $295,000 for bonds with a face amount of $315,000. The contract rate of interest is 8% while the current market rate of interest is 11%. Using the effective interest method, how much interest income is recognized by the investor in 2022 (assume annual interest payments and amortization)
Answer:
The amount of interest income recognized by the investor in 2022 is $33,247.50.
Explanation:
We are given the following in the question:
Amount paid by an investor = $295,000
Bond face amount = $315,000
Contract interest rate = 8%
Current market interest rate = 11%.
Therefore, we have:
Interest amount paid in cash = Bond face amount * Contract interest rate = $315,000 * 8% = $25,200
Amount recognized as interest expense by bond issuer = Amount paid by an investor * Current market interest rate = $295,000 * 11% = $32,450
Bond’s carrying value on 31 December 2021 = Amount paid by the investor + Amount recognized as interest expense by bond issuer - Interest amount paid in cash = $295,000 + $32,450 - $25,200 = $302,250
Year 2022 interest income = $302,250 * 11% = $33,247.50
Therefore, the amount of interest income recognized by the investor in 2022 is $33,247.50.
BenchMark, Inc., just paid a dividend of $3.45 on its stock. The growth rate in dividends is expected to be a constant 5 percent per year indefinitely. Investors require a return of 13 percent on the stock for the first three years, a return of 11 percent for the next three years, and then a return of 9 percent thereafter. What is the current share price for the stock
Answer:
BenchMark, Inc.
The current share price for the stock is:
$43.13
Explanation:
Dividend per share = $3.45
Growth rate = 5%
Investors' required rate of return = 13%
Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)
= $3.45/(0.13 - 0.05)
= $43.13
b) To determine BenchMark, Inc.'s current share price divide the dividend per share by the required rate of return after subtracting the growth rate from the required rate of return.
Over the last 5 years, a client has bought 200 shares of XYZ Mutual Fund each year in a taxable account and has elected to have dividends and capital gains automatically reinvested in additional fund shares. The aggregate cost of the 1,000 purchased shares is $31,300. In addition, over these 5 years, the customer has bought 300 additional shares through dividend reinvestment at an aggregate cost of $11,300. At the end of the 5th year, the client's statement shows that the customer owns 1,300 shares at an aggregate market value of $49,600. If the client redeems 100 of the shares, the average cost basis per share is:_________.
Answer:
Is the question asking for the mean/average or no?
Some of the following problems would be suitable for solution by engineering economic analysis.
Which ones are they?
(a) Would it be better to buy a car with a diesel engine or a gasoline engine?
(b) Should an automatic machine be purchased to replace three workers now doing a task by hand?
(c) Would it be wise to enroll for an early morning class to avoid traveling during the morning traffic rush hour?
(d) Would you be better off if you changed your major?
(e) One of the people you might marry has a job that pays very little money, while another has a professional job with an excellent salary. Which one should you marry?
Answer:
(a) Would it be better to buy a car with a diesel engine or a gasoline engine?
Explanation:
Note that this option has an economic appeal which is cost comparison. Engineering analysis here would seek to determine the economic advantage of such purchase.
For example, one may consider from the engineering economics perspective the fuel consumption ratio per mile for diesel engines and gasoline engines their relative cost per liter.
"An older customer, age 63, who is in the lowest tax bracket, seeks an investment that will give him an income stream. The BEST recommendation would be:"
Answer: AAA Corporate Bond
Explanation:
For an older customer, age 63, who is in the lowest tax bracket sho seeks an investment that will give him an income stream, the best recommendation is the AAA Corporate bond.
AAA is simply the highest rating that's assigned to a bond by major credit rating agencies. It should also be noted that they possess high creditworthiness.
Lambert Manufacturing has $100,000 to invest in either Project A or Project B. The following data are available on these projects (Ignore income taxes):
Project A Project B
Cost of equipment needed now $100,000 $60,000
Working capital investment needed now $0 $40,000
Annual cash operating inflows $40,000 $35,000
Salvage value of equipment in 6 years $10,000 $0
Refer to Exhibit 14B-1 and Exhibit 14B-2, to determine the appropriate discount factor(s) using the tables provided. Both projects will have a useful life of 6 years and the total cost approach to net present value analysis. At the end of 6 years, the working capital investment will be released for use elsewhere. Lambert's required rate of return is 14%. The net present value of Project B is:_____.
A) $90,356.
B) $76,115.
C) $36,115.
D) $54,356.
Answer:
C) $36,115.
Explanation:
Net present value is the present value of after-tax cash flows from an investment less the amount invested.
NPV can be calculated using a financial calculator
For project A
Cost of the equipment = $60,000 + 440,000 = $100,000
Cash flow in year 0 = $-100,000
Cash flow each year from year 1 to 6 = $35,000
I = 14%
NPV = $36,115.
To find the NPV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
After the posting of the accounts payable ledger and general ledger is completed, the total of the accounts payable ledger balances should equal the general ledger balance of
Answer: Accounts Payable
Explanation:
The General Ledger has a record of all the financial transactions that take place in the company. It therefore has an Accounts Payable account that records payables that the company has incurred.
The firm will also have an Accounts Payable Ledger that will also record the payables that the firm has incurred. When the entries have been made in this ledger and also in the General Ledger, the balances should be equal to reflect proper record keeping.
If the balances are not equal then an accounting error has been made that needs to be found and rectified.
A firm with concentrated ownership is a partnership, never a corporation. may enjoy more accounting transparency than firms with diffuse ownership structures. may give rise to conflicts of interest between dominant shareholders and small outside shareholders. none of the options
Answer:
may give rise to conflicts of interest between dominant shareholders and small outside shareholders.
Explanation:
Concentration of ownership of a firm occurs when only a person or a few individuals own large portions of the company.
Decision making on important aspects of the business are taken by these circle of people.
Concentrated ownership is an internal governance system where the majority owners have high degree of control on how the business operates.
This leads to conflict between the major owners and other small shareholders. The small shareholders may feel left out in decisions concerning the business.
Which type of market is the least likely to have an official currency? closed economy command economy traditional economy mixed market economy
Answer:
It is called "traditional economy" to the set of ideas, systems and economic planning of a basic and customary cut, where decisions are made through a hierarchical structure where the group leader decides based on what he considers as his own and correct , based on religious, traditional or common sense issues.
This type of economy, characteristic of the totalitarian regimes of old, is not used today. Traces of this type of organization are only found in tribal societies in Africa and Asia.
The type of market is the least likely to have an official currency is traditional economy.
What is traditional economy?A traditional economy is an economic system that is rooted in a culture, tradition and needs rather than being centred on profit motive.
The traditional economy is known to be original economic system in which it has factors that helps in shaping the services and goods in terms what the economy produces.
The factors that may influence traditional economy are :
CustomsBeliefsTraditionsCultureHence, the type of market is the least likely to have an official currency is traditional economy.
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Listed below are several transactions. For each transaction, indicate whether the cash effect of each transaction is reported in a statement of cash flows as an operating, investing, financing, or noncash activity. Also, indicate whether the transaction is a cash inflow or cash outflow, or has no effect on cash. The first answer is provided as an example
Transaction Financing Type of Activity Cash Inflow or Outflow
1. Issuance of common stock.
2. Sale of land for cash
3. Purchase of treasury stock.
4. Collection of an account receivable
5. Issuance of a note payable
6. Purchase of inventory
7. Repayment of a note payable
8. Payment of employee salaries.
9. Sale of equipment for a notereceivable.
10. Issuance of bonds
11. Investment in bonds.
12. Payment of interest on bonds payable.
13. Payment of a cash dividend
14. Purchase of a building
15. Collection of a note receivable. Cash inflow
Answer:
1. financing : cash inflow
2. investing : cash inflow
3. financing : cash outflow
4. operating : cash inflow
5. financing : cash inflow
6. operating : cash outflow
7. financing : cash outflow
8. operating : cash outflow
9. non-cash activity : no effect on cash
10. financing : cash inflow
11. Investing : cash outflow
12. operating : cash outflow
13. Investing : cash outflow
14. Investing : cash outflow
15. investing : cash inflow
Explanation:
The Cash flow Statement reports Cash Flow from 3 sources, namely (1) Cash flow from Operating , (2) Cash flow from Financing and (3) Cash Flow from Investing Activities
Cash flow from Operating Activities - Reports cash flows arising from ordinary course of business trading. Example is collection of an account receivable.
Cash flow from Financing Activities - Reports cash flow arising from acquisitions and sale of investment or non-current assets. Example is purchase of a building.
Cash Flow from Investing Activities - Reports cash flow arising from sources of finance. Example is Issuance of bonds.
Non-cash activity - Non-cash activity have no effect on cash and are not included in Statement of Cash flow. Example is a ale of equipment for a note receivable.
Peavey Enterprises purchased a depreciable asset for $24,500 on April 1, Year 1. The asset will be depreciated using the straight-line method over its four-year useful life. Assuming the asset's salvage value is $2,500, what will be the amount of accumulated depreciation on this asset on December 31, Year 3? a. $15,125.b. $4,583.c. $22,000.d. $18,333.e. $5,500.
Answer:
a. $15,125
Explanation:
The computation of the accumulated depreciation is shown below:
The formula i.e. be used for the yearly depreciation expense using the straight-line method is shown below:
= (Original cost - residual value) ÷ (useful life)
For the first year
= ($24,500 - $2,500) ÷ (4 years)
= ($22,000) ÷ (4 years)
= $5,500
The 9 months depreciation is $4,125
For the second year
= ($24,500 - $2,500) ÷ (4 years)
= ($22,000) ÷ (4 years)
= $5,500
For the third year
= ($24,500 - $2,500) ÷ (4 years)
= ($22,000) ÷ (4 years)
= $5,500
Now the accumulated depreciation is
= $4,125 + $5,500 + $5,500
= $15,125
The amount of accumulated depreciation on this asset on December 31, Year 3 is a. $15,125.
Depreciable Value = $24,500-$2500
Depreciable Value = $22,000
Per Year depreciation = $22000/4
Per Year depreciation= $5500
Depreciation for year 1 = $5500 x 9/12
Depreciation for year 1 = $4125
Depreciation for year 2 = $5500
Depreciation for year 3 = $5500
Accumulated depreciation on 31st December year 3 = $4125+$5500+$5500
Accumulated depreciation on 31st December year 3= $15,125
Inconclusion the amount of accumulated depreciation on this asset on December 31, Year 3 is a. $15,125.
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When the government passes a new law that explicitly changes overall tax or spending levels, it is enacting:
Answer:
A discretionary fiscal policy.
Explanation:
A discretionary fiscal policy is a policy guideline out in place by Government with the aim of either shrinking or expanding the economy. This kind of policy is usually associated with either an increase or decrease in the tax rates or levels which will increase government revenue or decrease in government revenue or be focused on increasing or decreasing government spendings on the economy either through increasing or decreasing investment in infrastructures etc
6. If the selling price increases by $2 per unit and the sales volume decreases by 100 units, what would be the net operating income
Answer: $2,430
Explanation:
Sales were based on a volume of 1,000 units.
Previous sales price = 105,000/1,000 = $105
Previous Sales volume = 100
Variable expenses = 73,500/1,000 = $73.50
New sales volume = 1,000 - 100 = 900
New sales price = 105 + 2 = $107
Net Operating Income = Sales - Varible Costs - Fixed costs
= (900 * 107) - ( 73.50 * 900) - 27,720
= 96,300 - 66,150 - 27,720
= $2,430
Our company manufactures and sells electric staplers for $16 each. If 10,000 units were sold in December, and management forecasts 4% growth in sales each month, the number of electric stapler sales budgeted for March should be:_____.
A) 10,000.
B) 11,249.
C) 10,400.
D) 10,816.
E) 11,000.
Answer:
B) 11,249.
Explanation:
The computation of the number of electric stapler sales budgeted for Marchis shown below:
On Jan
= 10,000 units × 1.04
= 10,400 units
On feb
= 10,400 units × 1.04
= 10,816 units
On march
= 10,816 units × 1.04
= 11,248.64 units
Hence, the correct option is B. 11,249
therefore all other options are wrong
We simply multiplied the unit sales with the growth rate
Where would you go to add a new vendor or find the link to import a vendor list into QuickBooks Online?Choose the most viable method from the options below, although other methods may be available.A. The New vendor button in the Vendors tab of the Sales screenB. The New vendor button in the Vendors tab of the Expenses screenC. The New vendor button in the Expenses tab of the Expenses screenD. The Enter vendor details button in the Expenses tab of the Sales screen
Answer: The New vendor button in the Vendors tab of the Expenses screen
Explanation:
From the question, we are told to choose the most appropriate option where one will go to add a new vendor or locate the link that can be used to import a vendor list into QuickBooks Online.
From the options given, the answer is the new vendor button in the vendors tab of the expenses screen.
Consider two firms producing smartphones. One uses a highly automated robotics process, while the other uses human workers on an assembly line and pays overtime when there is heavy production demand. a. Which firm will have higher profits in a recession?
Answer: The firm that is using human workers.
Explanation:
A recession is simply referred to as a contraction that occurs in the business cycle when there is a reduction in the economic activities and this invariably leads to reduction in expenses by the consumers.
Since there is recession, there won't be need to pay the workers overtime as there won't be heavy production, therefore the firm that is using human workers will have higher profit in recession.
Second only to the sole proprietorship, the partnership is among the oldest of business entities to develop. By the time of the development and implementation of the English Common Law in the 16th Century, the law of business partnerships was already highly developed. This was the case despite the fact that a majority of partnership business owners were illiterate. In businesses that involve numerous members of the same family, the preferred business choice of conduct is the partnership. What advantages may occur for the family members by conducting business in this form
Answer:
1. A higher level of commitment and dedication
2. A less tense working environment
3. Employee consideration
Explanation:
Partnerships are forms of businesses that require the involvement of two or more partners. Family members may constitute the partners in a business. Just like every other type of business formation, partnerships have several advantages to family members. These include;
1. A higher level of commitment and dedication: Since their livelihood is dependent on this stream of income, the family members would put in their best to ensure increased output. They would also be willing to make sacrifices in order to get things done.
2. A less tense working environment: Unlike in some other strictly run businesses, partnerships with family members who are known to each other would create a calm atmosphere for business dealings.
3. Employee consideration: Workers would be given better considerations like leave and promotions when it is due to them. These things might be otherwise difficult to attain in a tense business setting.
What is the net present value of a project that has an initial cash outflow of $34,900 and the following cash inflows? The required return is 15.35 percent.
year cash flow
1 $12,500,
2 19,700,
3 0,
4 10,400.
A. -3,383.25
B. -2,784.62
C. - 2481.53
D. 52,311.08
E. 66,416.75
Answer:
NPV = $-3,383.25
Explanation:
The NPV is the difference between the PV of cash inflows and the PV of cash outflows. A positive NPV implies a good investment decision and a negative figure implies the opposite.
NPV of an investment:
NPV = PV of Cash inflows - PV of cash outflow
PV of cash inflow =
$12,500, × 1.1535^(-1) + 19,700, × 1.1535^(-2) + 0× 1.1535^(-3) + 10,400.× 1.1535^(-2) = 31,516.7476
Initial,cost = 34,900
NPV = 31,516.7476 - 34,900 = -3,383.25
NPV = $-3,383.25
The net present value of the project is $-3,383.25.
Net present value is the present value of after-tax cash flows from an investment less the amount invested. It is a capital budgeting method. If the NPV is negative, it means that the project is not profitable.
Cash flow in year 0 = $-34,900 Discounted cash flow in year 1 = $12,500 / 1.1535 = $10,836.58 Discounted cash flow in year 2 =$19700 / 1.1535² = $14,805.77 Discounted cash flow in year 3 = 0 Discounted cashflow in year 4 = 10,400 / 1.1535^4 = $5,874.39Sum of discounted cash flows = $31,516.75
NPV = $-34,900 + $31,516.75 = $-3,383.25
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Cynthia Knott's oyster bar buys fresh Louisiana oysters for $3 per pound and sells them for $8 per pound. Any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $2 per pound. Cynthia believes that demand follows the normaldistribution, with a mean of 100 pounds and a standard deviation of 20 pounds. How many pounds should she order each day? Refer to the standard normal table LOADING... for z-values.
Answer:
111 pounds
Explanation:
The number of pounds Cynthia should order each day can be calculated as follows
Calculation
Standard deviation = 20
Mean = 100
Cost of actual utilization = 8-3 = 5
Cost of Under utilization = 4-2 = 2
Probability of sale = Co/(Cu+Co)
Probability of sale = 5/(5+2)
Probability of sale =0.714
Z score at above probability = z = 0.57
hence cynthia should order= mean+z*standard deviation
Order = 100+0.57*20
Order = 111.4 or 111 pounds
Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be pequals160 minus 0.75 x. It also determines that the total cost of producing x suits is given by Upper C (x )equals4000 plus 0.5 x squared. a) Find the total revenue, Upper R (x ). b) Find the total profit, Upper P (x ). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit?
Answer:
Please refer to the below for answers.
Explanation:
As per the above information, the following can be deduced;
•The price per suit (P)= 160-0.75x
•Total cost of producing x suit is given as C(x) = 4,000+0.5x^2
(a) The total revenue is R(x);
= (Numbers of units) * (Price per unit)
R(x) = x * (160-0.75x)
R(x) = 160x - 0.75x^2
(b) The total profit is P(x);
= Total revenue - Total costs
P(x) = R(x) - C(x)
P(x) = (160x - 0.75x^2) - (4,000 + 0.5x^2)
P(x) = 160x - 0.75x^2 - 4,000 - 0.5x^2
P(x) = -1.25x^2 + 160x - 4,000
(c). To find the maximum value of P(x), we will need to find first the derivative of P'(x)
d/dx*P(x) = d/dx(-1.25x^2 + 160x - 4,000)
P'(x) = - d/dx(1.25x^2) + d/dx(160x) - d/DX(4,000)
P'(x) = -2.5x + 160
The next is to find the critical points.
P'(x) = 0
-2.5x + 160 = 0
-2.5x . 10 + 160 . 10 = 0 . 10
-25x + 1,600 = 0
-25x + 1,600 - 1,600 = 0 - 1,600
-25x = -1,600
x = 64
We will also use the second derivative test to know if there is an absolute maximum because f(c) is the absolute maximum value if f''(c) < 0
Therefore,
d/dx*P'(x) = d/dx (-2.5x + 160)
P''(x) = -d/dx (-2.5x) + d/dx (160)
P''(x) = -2.5
Hence, (64) is negative , and so profit is maximized when 64 suits are produced and sold.
(d) The maximum profit is denoted as;
P(64) = -1.25(64)^2 + 160(64) - 4,000
P(64) = -64^2 * 1.25 + 10,240 - 4,000
P(64) = 6,240 - 64^2 * 1.25
P(64) = 6,240 - 5,120
P(64) = $1,120
Therefore , the clothing firms makes $1,120 as profit by producing and selling 64 suits.
(e) The price per unit to needed to make the maximum profit is thus;
P = 160 - 0.75x
Where x is 64
P = 160 - 0.75(64)
P = 160 - 48
P = $112
Consider the following two mutually exclusive alternatives for reclaiming a deteriorating inner-city neighborhood (one of them must be chosen). Notice that the IRR for both alternatives is 27.19%.
Alternatives
EOY X Y
0 -$100,000 -$100,000
1 $50,000 0
2 $51,000 0
3 $60,000 $205,760
1RR 27.19% 27.19%
a. which alternative should be chosen if MARR is 15% per year
b. If MARR is 15% per year, which alternative is better?
c. What is the IRR on the incremental cash flow [i.e., ∆(Y − X)]?
d. If the MARR is 27.5% per year, which alternative is better?
e. What is the simple payback period for each alternative?
f. Which alternative would you recommend?
Answer:
a) alternative Y should be chosen
b) alternative Y, because its NPV is higher
c) 27.19%
d) alternative X, because its NPV is only -$463 (alternative Y's NPV = - $727)
e) alternative X = 1.98 years
alternative Y = 2.49 years
f) alternative Y because its NPV is much higher when MARR = 15%, and when MARR increased to 27.5%, the difference between both projects' NPV was very small.
Explanation:
a and b)
NPV of alternative X = -$100,000 + $50,000/1.15 + $51,000/1.15² + $60,000/1.15³ = -$100,000 + $43,478 + $38,563 + $39,451 = $21,492
NPV of alternative Y = -$100,000 + $205,760/1.15³ = $35,291
c)
incremental cash flows:
-$50,000
-$51,000
$145,760
TIR = 27.19%
d)
NPV of alternative X = -$100,000 + $50,000/1.275 + $51,000/1.275² + $60,000/1.275³ = -$100,000 + $39,216 + $31,373 + $28,948 = -$463
NPV of alternative Y = -$100,000 + $205,760/1.275³ = -$727
e)
alternative X ⇒ 1 year + ($50,000 / $51,000) = 1.98 years
alternative Y ⇒ 2 years + ($100,000 / $205,760) = 2.49 years
What would be the yearly earnings for a person with $4,400 in savings at an annual interest rate of 3 percent
Answer:
$132
Explanation:
Calculation for yearly earnings for a person with $4,400
Using this formula
Yearly earnings = Savings amount × Annual interest rate percentage
Where,
Savings amount =$4,400
Annual interest rate percentage =3%
Let plug in the formula
Yearly earnings = $4,400×0.03
Yearly earnings = $132
Therefore the Yearly earnings will be $132
What would be the best answer
Answer:
The correct answer is :- Measurable gain
Which of the following is not normally viewed as an adjustment to the principal of an estate? Multiple Choice Insurance expenses. Debts incurred prior to death. Dividends declared prior to death. Investment commissions and other costs. Funeral expenses.
Answer:
Correct Answer:
E. Funeral expenses.
Explanation:
Adjustment to the principal of an estate is a process which allow a trustee to make adjustments between income and principal over a given period of time. This income could be as a result of minor or major money earned as well as the debts incurred.