Answer: Lower limit = 88.1
Upper limit = 126.1
Explanation:
Given :
Sample mean = [tex]\overline{x}[/tex] = 107.1
Sample standard deviation = s = 30.7
Sample size = n = 9
∴ Degree of freedom = [tex]d_{f}[/tex] = n - 1 = 8
∝ = 1 - confidence interval = 1 - 0.90 = 0.10
[tex]\frac{\alpha}{2}[/tex] = 0.05
From t-distribution table;
[tex]t_{0.05}[/tex] = 1.860
∴ Margin of error(MOE) = [tex]t_{0.05}[/tex]×[tex]\frac{30.7 }{\sqrt{9} }[/tex]
= 1.860×[tex]\frac{30.7 }{\sqrt{9} }[/tex]
=19.03
∴ Lower Limit = 107.1 - 19.03 = 88.1
Upper limit = 107.1 + 19.03 = 126.1
The sample mean startup cost for the candy stores is 106.3 thousand dollars with a standard deviation of about 31.5 thousand dollars. For a 90% confidence interval, the average costs would lie between 79.1 and 133.5 thousand dollars.
Explanation:First, let's calculate the mean and standard deviation of the provided costs. The costs given are 92, 177, 129, 96, 75, 94, 116, 100, 85. By adding all the values and dividing by the number of values (9), we can find the mean, which comes out to about 106.3 thousand dollars. The standard deviation can be found using the formula sqrt[((92-106.3)^2 + (177-106.3)^2 + ... + (85-106.3)^2) / (9-1)], which is about 31.5 thousand dollars.
Now, for part (b), we can use the formula for a confidence interval, which is x ± z*(s/ sqrt(n)), where x is the mean, z is the z-score (for a 90% confidence interval, it's 1.645), s is the standard deviation, and n is the sample size. Plugging in the values we have, we get 106.3 ± 1.645*(31.5/sqrt(9)). This gives us the confidence interval as 79.1 thousand dollars to 133.5 thousand dollars.
So, if you're planning to start a candy store franchise, you can be 90% confident that the average startup cost will be between 79.1 and 133.5 thousand dollars.
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The required return on the stock of Moe's Pizza is 12.2 percent and after tax required return on the company's debt is 3.82 percent. The company's market value capital structure consists of 72 percent equity. The company is considering a new project that is less risky than current operations and it feels the risk adjustment factor is minus 2.1 percent. The tax rate is 35 percent. What is the required return for the new project?
Answer:
WACC 7.71894%
Explanation:
[tex]WACC = K_e(\frac{E}{E+D}) + K_d(1-t)(\frac{D}{E+D})[/tex]
Ke = 0.101
ER = 0.72
Kd = 0.0382
DR = 0.18
t = 0.35
WACC 7.71894%
Final answer:
The required return for Moe's Pizza's new less risky project is 6.65%, calculated using the weighted average cost of capital formula with a risk adjustment factor applied to the company's equity return.
Explanation:
The question seeks to determine the required return for a new project Moe's Pizza is considering. Given that the project is less risky than the current operations, a risk adjustment of minus 2.1 percent is applied to the company's required return on equity. Moe's Pizza requires a 12.2 percent return on equity and a 3.82 percent after-tax return on debt, with a capital structure of 72 percent equity and 28 percent debt (calculated as 100% - 72%).
To calculate the weighted average cost of capital (WACC) for the new project, which represents the new project's required return, we use the following formula:
WACC = E/V × Re × (1 - Risk Adjustment) + D/V × Rd × (1 - Tax Rate)
Substituting the given values:
WACC = 0.72 × 12.2% × (1 - (-0.021)) + 0.28 × 3.82% × (1 - 0.35)
After calculations:
WACC = 0.72 × 12.2% × 1.021 + 0.28 × 3.82% × 0.65
WACC = 8.97% × 0.72 + 0.69% × 0.28
WACC = 6.46% + 0.19%
Required return for the new project = WACC = 6.65%.
This value takes into account the tax shield on the debt and the risk adjustment for the new project being less risky than the current operations.
EarlKeen Co. sold $260,000 of equipment during January under a one-year warranty. The cost to repair defects under the warranty is estimated at 4% of the sales price. On August 15, a customer required a $100 part replacement plus $50 of labor under the warranty. Provide the journal entry for (a) the estimated warranty expense on January 31 for January sales on page 10 of the journal and (b) the August 15 warranty work on page 14 of the journal. Refer to the Chart of Accounts for exact wording of account titles.
Answer:
warranty expense 10,400 (260,000 x 4%)
warranty liablity 10,400
warranty liability 150
wages payable 50
inventory 100
Explanation:
we recognize the expected warranty expense at the moment of the sale.
Then expenses associate with the warranty will decrease the prevision "warranty liability"
The part used come from the company's inventory
and the wages for work on the product, will have to be paid.
Note: it could be cash directly instead of using wages payable account. But because there is no information about those wages being paid I assume are not.
Aaker Corporation, which has only one product, has provided the following data concerning its most recent month of operations: Selling price $99 Units in beginning inventory 0 Units produced 6,300 Units sold 6,000 Units in ending inventory 300 Variable costs per unit: Direct materials $12 Direct labor $42 Variable manufacturing overhead $6 Variable selling and administrative $6 Fixed costs: Fixed manufacturing overhead $170,100 Fixed selling and administrative $24,000 What is the net operating income for the month under absorption costing? $3,900 ($14,100) $12,000 $8,100
Answer:
Net Income = $12,000
Explanation:
Under absorption costing cost allocated to cost of goods sold = Prime cost + Manufacturing overheads. That is selling and administrative cost is not allocated.
Computing Net Income
No of units = 6,000
Sales 6,000 X $99 = $594,000
Less: Cost of Goods Sold
Direct Material = $12 X 6,000 = $72,000
Add: Direct Labor = $42 X 6,000 = $252,000
Add: Variable Manufacturing Overhead = $6 X 6,000 = $36,000
Add: Fixed manufacturing overhead = ($170,100/6,300) X 6,000 = $162,000
Total cost of goods sold = $522,000
Gross Margin = $72,000
Less: Operating Cost
Selling And Distribution
Variable $6 X 6000 = $36,000
Fixed = $24,000
Total Operating cost = $60,000
Net Income = $12,000
The net operating income resulted in a loss of $107,700 for Aaker Corporation.
Explanation:To calculate this, we first need to compute the total cost of goods sold (COGS) and the total sales, and then subtract the total costs from the total sales to find the net operating income.
The COGS under absorption costing includes the total variable costs (direct materials, direct labor, variable manufacturing overhead) and a portion of the fixed manufacturing overhead. Since no inventory was there at the start, the ending inventory needs to be valued at the full absorption cost per unit.
Total variable cost per unit = Direct materials ($12) + Direct labor ($42) + Variable manufacturing overhead ($6) = $60
Fixed manufacturing overhead per unit = Fixed manufacturing overhead ($170,100) / Units produced (6,300) = $27
Full absorption cost per unit = Total variable cost per unit + Fixed manufacturing overhead per unit = $60 + $27 = $87
Total sales = Selling price ($99) / unit × Units sold (6,000) = $594,000
Total COGS = (Units sold (6,000) + Units in ending inventory (300)) × Full absorption cost per unit ($87) - Ending inventory (300 × $87) = $507,600
Gross profit = Total sales - Total COGS = $594,000 - $507,600 = $86,400
Total fixed costs = Fixed manufacturing overhead ($170,100) + Fixed selling and administrative ($24,000) = $194,100
Net operating income = Gross profit - Total fixed costs = $86,400 - $194,100 = $107,700 (This is a loss, therefore we put it in parentheses) = ($107,700)
A company produces 100 microwave ovens per month, each of which includes one electrical circuit. The company currently manufactures the circuits inminushouse but is considering outsourcing the circuits at a contract cost of $ 28 each. Currently, the cost of producing circuits inminushouse includes variable costs of $ 26 per circuit and fixed costs of $ 13 comma 000 per month. Assume the company could cut fixed costs in half by outsourcing and that there is no alternative use for the facilities presently being used to make circuits. If the company outsources, operating income will ________
Answer:
Operating Income will increase by $6,300
Explanation:
In case of outsourcing total cost will be $28 per circuit i.e. $28 X 100 circuits = $2,800.
Also there will be fixed cost up to the extent of 50% of normal fixed cost = $13,000 X 50 % = $6,500
Total cost in Outsourcing = $2,800 + $6,500 = $9,300
In case of in house production
Variable Cost = $26 X 100 units = $2,600
Fixed Cost = $13,000
Total costs = $15,600
Thus, in case of outsourcing the operating income will increase by $15,600 - $9,300 = $6,300
If the company outsources the circuits, the operating income would be -$2,800.
Explanation:If the company outsources the production of the circuits, it would reduce its fixed costs to $6,500 per month. The variable cost per circuit remains the same at $26. Therefore, the new total cost per circuit would be $26 + $28 = $54.
The company produces 100 microwave ovens per month, so the total cost of producing the circuits in-house is 100 circuits x $26 = $2,600. If the company outsources, the total cost of the circuits would be 100 circuits x $54 = $5,400. So, the operating income would be $2,600 - $5,400 = -$2,800. Therefore, if the company outsources the circuits, the operating income would be -$2,800.
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On November 1, 2019, Alpha Omega, Inc. sold merchandise for $ 12 comma 000, FOB destination, with payment terms, n/30. The cost of goods sold was $ 3 comma 840. On November 3, the customer returns on this sale amounted to $ 4 comma 800. The company received the balance on November 9, 2019. Calculate the gross profit from these transactions.
Answer:
Gross Profit is $9552
Explanation:
Given data
sold = $12000
cost of goods = $3840
returns = $4800
to find out
gross profit
solution
we apply here gross profit formula that is
Cost of goods = Cost of goods - ( Return amount × Cost of goods sold / sale ) .....................1
Cost of goods = 3840 - ( 4800 × 3480/ 12000)
Cost of goods = 2448
gross profit
Gross Profit = Sales - Cost of Goods Sold
Gross Profit = 12000 - 2448
Gross Profit is $9552
Final answer:
The gross profit from the transactions after accounting for the merchandise return is $3,360, calculated by subtracting the cost of goods sold from the adjusted sales revenue.
Explanation:
Calculating Gross Profit from Transactions
To calculate the gross profit from these transactions for Alpha Omega, Inc., we must take into account the original sale, the cost of goods sold, and the subsequent return. Initially, the company sold merchandise for $12,000 but then the customer returned $4,800 worth of items. After the returns, the total revenue from sales is $12,000 - $4,800 = $7,200. The cost of goods sold was originally $3,840. The gross profit is found by subtracting the cost of goods sold from the sales revenue after returns, which is $7,200 - $3,840 = $3,360.
On his way home from work, Phil stopped at a shopping center. He parked in front of the dry cleaner, where he could pick up his suit. He did not have to move his car because next door was a gift shop where he could pick up a gift for his niece. Conveniently enough, next door to that store was a supermarket, where he purchased essentials like milk and cornflake cereal. Phil was shopping in what type of shopping center? Lifestyle center Mixed-use development center Enclosed shopping mall Power center Neighborhood center
Your question asks what type of shopping center Phil is shopping at.
Answer: Neighborhood CenterThe reason why "Neighborhood Center" would be the correct answer is because the stores that Phil is going to is more "convenient."
The stores that Phil went to: dry cleaner, gift shop, and supermarket are all stores that are more convenient to customers. Neighborhood centers have stores that are more convenient to customers, due to the fact that they people would be shopping for essential items that would go well with ones well being or for the house.
Since the stores that Phil shopped at are convenient stores, and neighborhood centers have convenient stores, this means that Phil is shopping at a Neighborhood center.
I hope this helps!Best regards,MasterInvestorJack Manufacturing Company had beginning work in process inventory of $8,000. During the period, Jack transferred $34,000 of raw materials to work in process. Labor costs amounted to $41,000 and overhead amounted to $36,000. If the ending balance in work in process inventory was $12,000, what was the amount transferred to finished goods inventory?
Final answer:
To calculate the amount transferred to finished goods inventory, sum the beginning work in process, raw materials, labor costs, and overhead, then subtract the ending work in process. The calculation with provided figures is $107,000.
Explanation:
The student has asked how to calculate the amount transferred to finished goods inventory. To find this amount, we need to use the cost of goods manufactured formula, which includes beginning work in process, raw materials, labor costs, overhead, and ending work in process. The formula would look like this:
Cost of Goods Manufactured = Beginning Work in Process + Raw Materials + Labor Costs + Overhead - Ending Work in Process
Using the figures provided:
Beginning Work in Process: $8,000
Raw Materials: $34,000
Labor Costs: $41,000
Overhead: $36,000
Ending Work in Process: $12,000
We calculate as follows:
Cost of Goods Manufactured = $8,000 + $34,000 + $41,000 + $36,000 - $12,000 = $107,000
So, the amount transferred to finished goods inventory would be $107,000.
J-Chron's board of directors periodically meets with the CFO of the company. The CFO reports on the financial status of a company project, after which the board inquires about the project's compliance with legally-required accountings principles. It asks no other questions about the project. Which of the following is true? A) The board is meeting all of its vigilance requirements. B) The board is not meeting any basic vigilance requirements. C) The board is meeting legally-required vigilance standards, but not necessarily those which would protect shareholders' interest. D) The board is not legally required to meet vigilance requirements.
Answer:
The answer is (C) The board is meeting legally-required vigilance standards, but not necessarily those which would protect shareholders' interest.
Explanation:
Based on the question, it is clear that the board of directors is only ensuring that the accounting methods used to report the current company’s project are in line with any legal regulations that are applicable to the project. No questions in regards to the current progress of the project, such as how the budget is used; what it is used for; are the funds used appropriately, are being considered by the board. This means that the board is not carefully considering the shareholders’ interest, who might not be entirely on board with the project if it is not going as well as it should have, or if it is costing more than the value of the project itself.
Final answer:
The J-Chron's board of directors is meeting legally-required vigilance standards by inquiring about compliance with accounting principles but it may not be fully protecting shareholder interests without broader inquiries into the project.
Explanation:
When assessing the scenario where the J-Chron's board of directors only inquires about a company project's compliance with legally-required accounting principles and not other aspects of the project, we can determine that the board is partially fulfilling its oversight role. The board is responsible for the corporate governance of a company and is supposed to ensure that the company operates in the best interest of shareholders. Simply checking for compliance with accounting principles would meet legally-required vigilance standards but may not fully protect shareholders' interests as it lacks a broader inquiry into the project's performance, risks, management, and strategic alignment with company goals.
Option C) The board is meeting legally-required vigilance standards, but not necessarily those which would protect shareholders' interest, is the statement that seems most accurate in this setting. To provide thorough governance, the board should actively pursue a range of inquiries going beyond legal compliance toward assessing all aspects of a project's implications for the company's health and success.
Market equilibrium Consider the demand function of tofu given by Qd = 150 – 10p + 5pb and the supply function of tofu given by Qs = 50 + 20p – 7ps, where pb is the price of beef and ps is the price of soybeans. a) Find the equilibrium price (pe) and quantity (Qe) of tofu, in terms of the beef price (pb). Consider the average soybean price to be ps = 2 $/lb. b) Calculate pe and Qe when beef price is pb = 5 $/lb. c) If the price of tofu is fixed at @ 2.5 $/lb, will the market have excess demand or excess supply? Explain. d) The willingness to pay for tofu increased significantly after the Plant-Based Burger Battle organized in Davis. The new demand is given by Qd = 180 – 10p + 5pb). Keeping the same supply function, what are the new pe and Qe? (Consider the same pb = 5 $/lb and ps = 2 $/lb.)
Answer:
a) Qs = 50 + 20p - 7ps
= 50 + 20p - 7×(2)
= 50 + 20p - 14
= 36 + 20p
At equilibrium, [tex]Q_{d}[/tex] = [tex]Q_{s}[/tex]
So, 150 - 10p + 5[tex]p_{b}[/tex] = 36 + 20p
So, 20p + 10p = 30p
= 150 - 36 + 5[tex]p_{b}[/tex]
= 114 + 5[tex]p_{b}[/tex]
So, p = (114/30) + (5/30)[tex]p_{b}[/tex]
= 3.8 + 0.17[tex]p_{b}[/tex]
Thus, [tex]p_{e}[/tex] = 3.8 + 0.17[tex]p_{b}[/tex]
Q = 36 + 20p
= 36 + 20(3.8 + 0.17[tex]p_{b}[/tex])
= 36 + 76 + 3.4[tex]p_{b}[/tex]
= 112 + 3.4[tex]p_{b}[/tex]
Thus, [tex]Q_{e}[/tex] = 112 + 3.4[tex]p_{b}[/tex]
b) [tex]p_{e}[/tex] = 3.8 + 0.17[tex]p_{b}[/tex]
= 3.8 + 0.17×(5)
= 3.8 + .85
= 4.65
[tex]Q_{e}[/tex] = 112 + 3.4[tex]_{b}[/tex]
= 112 + 3.4(5)
= 112 + 17
= 129
c) Qd = 150 - 10p + 5pb = 150 - 10(2.5) + 5(5) = 150 - 25 + 25 = 150
Qs = 36 + 20p = 36 + 20(2.5) = 36 + 50 = 86
Thus, there is excess demand as [tex]Q_{d}[/tex] > [tex]Q_{s}[/tex]
d) New [tex]Q_{d}[/tex]= 180 - 10p + 5[tex]p_{b}[/tex]
= 180 - 10p + 5×(5)
= 180 - 10p + 25
= 205 - 10p
Now, new [tex]Q_{d}[/tex] = [tex]Q_{s}[/tex] gives,
205 - 10p = 36 + 20p
So, 20p + 10p = 205 - 36
So, 30p = 169
So, p = 169÷30
So, [tex]p_{e}[/tex] = 5.63
Q = 205 - 10p = 205 - 10×(5.63) = 205 - 56.3 = 148.7
So, [tex]Q_{e}[/tex] = 148.7
Brief Exercise 9-10Incorrect answer. Your answer is incorrect. Try again.Suppose in its 2017 annual report that McDonald’s Corporation reports beginning total assets of $28.15 billion, ending total assets of $30.50 billion, net sales of $22.95 billion, and net income of $4.10 billion.(a) Compute McDonald’s return on assets. (Round return on assets to 2 decimal places, e.g. 5.12%.)McDonald’s return on assetsEntry field with incorrect answer%(b) Compute McDonald’s asset turnover. (Round asset turnover to 2 decimal places, e.g. 5.12.)McDonald’s asset turnoverEntry field with incorrect answer
Answer: return on assets = 13.98%
assets turnover = 0.78
Explanation: A. COMPUTING RETURN ON TOTAL ASSETS :-
Return on total assets can be defined as the return the owners of the company get for investing in the total assets of the entity. It is used as a performance measure.
[tex]=\:Formula\:=\:\frac{net\:income}{average\:total\:assets}[/tex]
where,
[tex]=\:average\:total\:assets\:=\frac{begining\:assets+ending\:assets}{2}[/tex]
[tex]=\:average\:total\:assets\:=\frac{28.15+30.50}{2}[/tex]
= 29.32
therefore:-
[tex]=\:Formula\:=\:\frac{4.10}{29.32}[/tex]
= 13.98%
.
B. COMPUTING ASSET TURNOVER :-
It shows the ability of assets of a business to generate income.
[tex]=\:Formula\:=\:\frac{net\:sales}{average\:total\:assets}[/tex]
[tex]=\:Formula\:=\:\frac{22.95}{29.32}[/tex]
=0.78
Return on assets (ROA) and asset turnover are two financial ratios used to measure profitability and efficiency.
Explanation:Return on assets (ROA) is a financial ratio that measures a company's profitability by showing how efficiently it generates profits using its assets. To calculate McDonald's return on assets, divide its net income by its average total assets:
ROA = (Net Income / Average Total Assets) * 100
Asset turnover is another financial ratio that measures a company's efficiency in using its assets to generate sales revenue. To calculate McDonald's asset turnover, divide its net sales by its average total assets:
Asset Turnover = Net Sales / Average Total Assets
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Schuepfer Inc. bases its selling and administrative expense budget on budgeted unit sales. The sales budget shows 3,500 units are planned to be sold in March. The variable selling and administrative expense is $4.00 per unit. The budgeted fixed selling and administrative expense is $35,850 per month, which includes depreciation of $5,000 per month. The remainder of the fixed selling and administrative expense represents current cash flows. The cash disbursements for selling and administrative expenses on the March selling and administrative expense budget should be:
Answer:
The cash disbursements for selling and administrative expenses on the March selling and administrative expense budget should be $44850.
Explanation:
For computing the cash disbursement the following equation is to be used which is shown below:
= Sales units × variable selling and administrative expense per unit + Fixed selling and administrative expense - Depreciation
= 3,500 × $4 + $35,850 - $5,000
= $14,000 + $35,850 - $5,000
= $44,850
Since all information is given on month basis, so we don't need to change in year basis as we have to calculate for march monthly only.
Hence, all things is to be considered for computing cash disbursement for march month.
Thus, The cash disbursements for selling and administrative expenses on the March selling and administrative expense budget should be $44850.
Journalize the following transactions into the general journal in accordance with the rules of Journalizing, and the Double-entry accounting system. March 28 Owner withdraws $2,600 of cash for personal use. September 1 Owner deposits $49,000 in business bank account as an initial investment.
Answer:
Explanation:
Journal entry : The journal entry shows the debit and credit side of the accounts. Here, debit means the expenditures which are incurred by the company whereas credit represent the incomes or revenue.
The journal entry for both the transactions is as follows:
1. March 28 - Drawings A/c Dr $2,600
To Cash A/c 2,600
Here for personal use, the drawing account should be used.
2. September 1 - Bank Account Dr $49,000
To Cash $49,000
Here, the bank balance is increase, whereas the cash balance is decreased.
To journalize the transactions, debit the Drawings account and credit the Cash account for a withdrawal; debit Cash and credit Owner's Capital for an investment. These entries adhere to the double-entry accounting system, which ensures every debit has a corresponding credit keeping the accounts balanced.
Journalizing Transactions and the Double-entry Accounting System :
To journalize the transactions given, we need to consider the accounts that are affected and how they are affected (increased or decreased). The first transaction involves the owner withdrawing cash for personal use.
This would involve a debit to the Drawing account, which represents an owner's withdrawals, and a credit to the Cash account since the asset (cash) is decreasing.
The second transaction involves the owner making an initial investment into the business. This increases the Cash account, as more money is being put into the business, and also increases the Owner's Equity account since it's the owner's investment into the company.
Journal Entries:
March 28: Debit Drawings $2,600; Credit Cash $2,600September 1: Debit Cash $49,000; Credit Owner's Capital $49,000These transactions reflect the basic principle of double-entry accounting, where for every debit there is a corresponding credit of the same amount, ensuring the accounting equation (Assets = Liabilities + Owners' Equity) remains balanced.
When creating T-accounts for the transactions described in the practice section, one would debit the cash account for $73,500.88, then credit it by $500.88 to reflect the spent amount, and finally deposit the remaining funds into a new account with W Bank.
Under the cash basis of accounting, which most individuals use for personal finances, receipt of income increases the bank account balance and payment for expenses decreases it, recognizing financial activity as cash is received or spent.
In a budgeted income statement, _________ is subtracted from net operating income to arrive at net income. cost of goods sold interest expense selling and administrative expense depreciation expense
Answer:
interest expense
Explanation:
In a budgeted income statement, interest expense is subtracted from net operating income to arrive at net income. Thus, option B is correct.
What is a budget?A budget is an estimate of income and expenses for a given future period of time that is often created and reviewed on a regular basis.
These charges, which are deducted from a company‘s revenue to determine net income, have included the cost of creating items, operational costs, non-operating expenditures, and taxes. The amount of revenue made from ongoing activities is reported as total revenue.
An industry's net margin is computed by deducting operating costs from its gross profit. Operational, selling or everyday expenses are examples of dream state expenses involved to maintain a company. Therefore, option B is the correct option.
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How much must you deposit each year into your retirement account starting now and continuing through year 10 if you want to be able to withdraw $75,000 per year forever, beginning 34 years from now? Assume the account earns interest at 10% per year.
Answer:
This person would deposit $5,255.47 for ten years.
It will generated a value of $83758.62 which will coumpound interest for 23 years unit reach $750,000
After that, the person will withdraw 75,000 per year until his death
Explanation:
Timeline:
for 10 year the person will do annual deposit.
24 years after that, wants to withdraw 75,000 forever AKA indefinite
[tex]infinite \:anuity = \frac{Principal}{Rate} \\\frac{75,000}{0.10} = 750,000[/tex]
This is the future value needed for the person at the end of year 33 (Because at the beginning of year 34 It will withdraw 75,000)
This value will be the result of 23 years of interest of a lump sum
[tex]Principal \timex (1+rate)^{time} = Amount[/tex]
[tex]Principal \timex (1+0.10)^{23} = 750,000[/tex]
Principal = 83758.61835
This value will be the proceeds of the 10 years annuity
This is the future value of the annuity. This is the kicker of the investment. It starts from here.
[tex]C * \frac{(1+r)^{time} -1}{rate} = FV\\[/tex]
[tex]C * \frac{(1+0.10)^{10} -1}{0.10} = 83758.61835\\[/tex]
C = 5,255.467583
A capital budgeting technique that can be computed by subtracting a project's initial investment from the present value of its cash inflows discounted at a rate equal to a firm's cost of capital is called net present value. True or false.
The following information pertains to Lessor Company: Total assets $150,000 Total current liabilities 110,000 Total expenses 160,000 Total liabilities 115,000 Total revenues 180,000 If invested capital is defined as total assets, a project earning an ROI of 12% should be _____.
Answer:
Achieved. The ROI currently is 13.33% So the prohect earning a ROI of 12% was accomplished
Explanation:
Return on Investment will be Income/ Investment Capital
Which in this case is defined as total assets.
So it would be Income / Total Assets
The last is a given figure: 150,000
Now let's first find out the income:
180,000 revenues - 160,000 expenses = 20,000 net income
Finally calculate the ROI 20,000/ 150,000 = 13.33%
A wallet contains five $10 bills, three $5 bills, and seven $1 bills (nothing larger). If the bills are selected one by one in random order, what is the probability that at least two bills must be selected to obtain a first $10 bill? (Round your answer to three decimal places.)
Answer: The probability that at least two bills must be selected to obtain a first $10 bill is 0.67.
Explanation:
Let X be the number of trials to get first $10 bill
p ⇒ is the probability of getting $10 bill, that is,
= [tex]\frac{5}{15}[/tex]
In this question, X follows the geometric distribution,
The geometric distribution gives the likelihood that the first event of progress requires k independent trials, each with progress likelihood p. In the event that the likelihood of success on every trial is p, at that point the likelihood that the kth trials (out of k preliminaries) is the first success is
{\displaystyle \Pr(X=k)=(1-p)^{k-1}p} {\displaystyle \Pr(X=k)=(1-p)^{k-1}p}
for k = 1, 2, 3, ....
P( X ≥ 2 ) = ?
P( X ≥ 2 ) = 1 - P( x < 2 )
P( x < 2 ) = P( x = 1 ) = [tex]\frac{5}{15}[/tex] × [tex](1 - \frac{5}{15} )^{1 - 1}[/tex]
So,
P( X ≥ 2 ) = 1 - 0.33
= 0.67
The probability that at least two bills must be selected to obtain a first $10 bill from a wallet containing five $10 bills, three $5 bills, and seven $1 bills is approximately 0.238 or 23.8%.
Explanation:The probability we need to calculate here is related to the first $10 bill not being selected on the first draw, but rather on the second or later draws. There are a total of 15 bills in the wallet (5 $10 bills, 3 $5 bills, and 7 $1 bills).
To begin with, we can consider the probability of not drawing a $10 bill on the first draw. There are 10 bills that are not $10 bills and 15 total bills, giving a probability of 10/15, which simplifies to 2/3 or approximately 0.667.
To do this, you'd be basically ignoring the $10 bills for the first draw, thinking as if they are not there at all and you are picking up from the other bills ($5 or $1). But since the question asks for the condition where you must select at least two bills in order to obtain a $10 bill, it implies that you get a $10 bill on your second draw. Assuming that you didn't pick a $10 bill in your first draw, for the second draw, you are left with 14 bills in total out of which 5 are $10 bills. Therefore, the probability for getting a $10 bill on the second draw is 5/14, which simplifies to approximately 0.357.
So, the combined probability of these two events happening in sequence (not picking a $10 bill on the first draw and then picking a $10 bill on the second) is the product of these two probabilities, according to the rule of product in probability theory, which gives us approximately 0.667 * 0.357 = 0.238 or 23.8% when converted into a percentage. Therefore, the probability that at least two bills must be selected to obtain a first $10 bill is approximately 0.238 or 23.8%.
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Suppose you invest $5,000 per year, for 10 years, into an account with an annual rate of return of 7%. Deposits are made at the end of each year. Starting in the next year (Year 11), what is the maximum amount you can withdraw each year for the next 17 years, assuming the rate of return is now 6% per year?
Answer:
Explanation:
The timeline would be as follows:
During the first 10 years, we deposit 5,000 at 7% market rate.
Then we withdraw at the beginning of Year eleven during 17 year. The market price for this period is 6%
First Step amount at end of year 10
[tex]C * \frac{(1+r)^{time} - 1 }{rate} = FV\\[/tex]
[tex]5,000 * \frac{(1+0.07)^{10} - 1 }{0.07} = FV\\[/tex]
FV = $69,082.24
Then, we are going to calculate how much can be withdraw during 17 years
At the beginning of the period at 6% rate
[tex]C = PV \frac{rate}{1-(1+rate)^{-time} }/ (1+rate)[/tex]
From the PV formula, we clear the Cuota and then we divide by 1.06 because we are doing an annuity-due. The amount is withdraw at the beginning of the period. That's why we add a new element.
[tex]C = 69,082.24 \frac{0.06}{1-(1.06)^{-17} } /(1.06)[/tex]
C = 6220.32
Coattail Corporation manufactures and sells women and children coats. This year CC donated 1000 coats to a qualified public charity. The charity distributed the coats to needy women and children throughout the region. At the time of the contribution, the fair market value of each coat was $80. Determine the amount of charitable contribution (the taxable income limitation does not apply) for the coats assuming the following: a) CC's adjusted basis in each coat was $30. I was getting that it is $55,000, but is the max not only $20000? I dont know I am a little lost on this one
Answer:
a. CC's adjusted basis in each coat was $30. In general, the deductible amount of property that is not long-term capital gain property is limited to the adjusted basis of the property. However, under 170(e)(3), if the taxpayer contributes inventory to a charitable organization for the care of the needy, the taxpayer can deduct the basis of the property plus one half of the appreciation (not to exceed twice the basis).
In this case, CC's contribution is to a qualified charity for the aid of the needy, it is allowed to deduct $55,000 which is the basis of $30,000 (1,000 x $30) + $25,000 [1,000 x 0.5 x (80 30)].
Twice the basis is $60,000 ($30,000 x 2) so this limitation is not binding.
b. CC's adjusted basis in each coat was $10. In general, the deductible amount of property that is not long-term capital gain property is limited to the adjusted basis of the property. However, under 170(e)(3), if the taxpayer contributes inventory to a charitable organization for the care of the needy, the taxpayer can deduct the basis of the property plus one half of the appreciation (not to exceed twice the basis).
In this case, because CC's contribution is to a qualified charity for the aid of the needy, it is allowed to deduct $20,000 which is the lesser of
(1) $45,000 [the basis of $10,000 (1,000 x $10) + $35,000 [1,000 x .5 x (80 10)] or
(2) $20,000 which is twice the basis ($10,000 x 2). Consequently, CC's contribution is limited to $20,000.
The amount of the charitable contribution would be calculated based on the fair market value of the donated items, in this case, the coats. This total would be $80,000, which is calculated by multiplying the number of coats (1000) by the fair market value of each coat ($80). The adjusted basis of the coats doesn't affect the amount of the charitable contribution.
Explanation:The amount of the charitable contribution is generally the fair market value of the items donated, if they are tangible goods. In this case, Coattail Corporation donated 1000 coats at a fair market value of $80 each, which amounts to $80,000 ($80 * 1000).
The adjusted basis that you're referring to ($30 per coat) is what the corporation would have used to determine their gain or loss if they had sold the coats. However, for the purposes of a charitable contribution, that isn't relevant. So the total charitable contribution for the coats would be $80,000, not $20,000 or $55,000.
The limit you mentioned might refer to the limit on tax deductions for charitable contributions, but this limitation does not impact the fair market value of the donated items, which is what determines the amount of the contribution.
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A company is considering replacing an old piece of machinery, which cost $600,000 and has $350,000 of accumulated depreciation to date, with a new machine that has a purchase price of $545,000. The old machine could be sold for $231,000. The annual variable production costs associated with the old machine are estimated to be $61,000 per year for eight years. The annual variable production costs for the new machine are estimated to be $19,000 per year for eight years.
Required:
A. Prepare a differential analysis dated September 13 to determine whether to continue with (Alternative 1) or replace (Alternative 2) the old machine. Refer to the lists of Labels and Amount Descriptions for the exact wording of the answer choices for text entries. For those boxes in which you must enter subtracted or negative numbers use a minus sign. If there is no amount or an amount is zero, enter "0". A colon (:) will automatically appear if required.
B. Determine whether the company should continue with (Alternative 1) or replace (Alternative 2) the old machine.
C. What is the sunk cost in this situation?
Answer:
The company should relace the old machine because it saved 22,000 cost
The book value of the old machine, 245,000 are sunk cost, are not relevant to determinate if the machien should be keeped or not.
Explanation:
(A)
cost savings
current cost-61,000 for eight year
new cost -19,000 for eight year
cost saving 42,000 per year
42,000 x 8 = 336,000
545,000 cost of new machine
- 231,000 proceeds from old machine
= 314,000 cost of acquire the machine
336,000 cost savings - cost 314,000 = 22,000 net saving
Coronado Industries can sell all the units it can produce of either Plain or Fancy but not both. Plain has a unit contribution margin of $80 and takes two machine hours to make and Fancy has a unit contribution margin of $93 and takes three machine hours to make. There are 2400 machine hours available to manufacture a product. What should Coronado do?
Answer:
It will be better to produce all the units of Plain we can sell, then use any remaining machine hours to produce Fancy. This is because Plain, generated more contribution per hour than Fancy.
Explanation:
We have to calculate the Contribution Margin per machine hours
This means check which product makes a better use of the scarse resourse
[tex]\frac{Plain\: CM}{Plain \: Machine \: Hours } = CM \: per \:Machine\:Hour\\\\ 80 \div 2 = 40[/tex]
[tex]\frac{Fancy\: CM}{Fancy\: Machine \: Hours } = CM \: per \:Machine\:Hour\\\\ 93 \div 3 = 31[/tex]
It will be better to produce all the units of Plain we can sell, then use any remaining machine hours to produce Fancy
Several years ago, Regis Corporation, a very large hair styling salon company, purchased 60 "Your Father's Mustache" salons. Although this was initially an acquisition, the merging of these two businesses was a(n) __________. Regis went on to purchase several hair care product companies. Joining forces with hair care product companies would represent a ___________.
Answer:
The correct answers for the first blank is horizontal merger and for the second blank is vertical merger
Explanation:
When Regis corporation merged with the your father's mustache salons, this type of merger is know as horizontal merger , which is a type of merger where two corporations or firms who are in same industry and are competing with each other for the same market , comes together and merge with each other that merger is called horizontal merger.
But when Regis corporation went on to merge with the hair product corporations that would mean that it is a vertical merger , which is that type of merger where two corporations joins their forces together at a different production stages related to business. An example of this merger can be like a manufacturer of goods merging with supplier of his goods.
Regis Corporation's purchase of 'Your Father's Mustache' salons was a corporate merger, while its acquisition of hair care product companies is considered vertical integration.
When Regis Corporation, a large hair styling salon company, purchased 60 'Your Father's Mustache' salons, although this was an acquisition, the merging of these two businesses was a corporate merger. This process involved combining both companies into a single firm. Later, when Regis went on to purchase several hair care product companies, joining forces with hair care product companies would represent a form of vertical integration, because it combined companies from different stages of production and distribution within the same industry.
You have the following information on a potential investment. Capital investment - $70,000 Estima... You have the following information on a potential investment. Capital investment - $70,000 Estimated useful life - 5 years Estimated salvage value - zero Estimated annual net cash inflow - $20000 Required rate of return - 8% What is the net present value of the investment (to the nearest dollar)? a. -56388 b. 20000 c. 9,854 d. 79854 You have the following information on a potential investment. Capital investment - $80,000 Estimated useful life - 5 years Estimated salvage value - 5000 Estimated annual net cash inflow - $6375 What is the annual rate of return on the investment (to the nearest dollar)?
Answer:
Part I
Net Present Value = $9,860
Part II
Annual rate of Return = 8.5%
Explanation:
Part I
Calculating net present value = Present value of cash inflow - Present value of cash outflow.
Present value of cash outflow = $70,000
Present value of cash inflow = Annual cash inflow X Present value factor @ 8 % for 5 years
= $20,000 X 3.993
= $79,860
Net Present Value = $79,860 - $70,000 = $9,860
Part II
Capital outlay = $80,000
Salvage value = $5,000
Annual net cash inflow = $6,375
Annual rate of return = [tex]\frac{Annual cash inflow}{Capital outlay - Salvage value} \times 100[/tex]
= [tex]\frac{6,375}{80,000 - 5,000} \times 100 = 8.5%[/tex]
Final Answer
Part I
Net Present Value = $9,860
Part II
Annual rate of Return = 8.5%
Suppose your rich uncle gave you $50,000, which you plan to use for graduate school. You will make the investment now, you expect to earn an annual return of 6%, and you will make 4 equal annual withdrawals, beginning 1 year from today. Under these conditions, how large would each withdrawal be so there would be no funds remaining in the account after the 4th withdraw?
Answer:
C = $14,429.57 You can withdraw up to this amount.
Explanation:
we have to calculate the cuota of the annuity for present value
[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]
Where:
rate = 0.06
time = 4 years
PV 50,000 your uncle gift you.
[tex]C \times \frac{1-(1+0.06)^{-4} }{0.06} = 50,000\\[/tex]
C = $14,429.57
Making 4 withdrawals for this amount, you will earn an annual return of 6%
On June 30, 2018, Hardy Corporation issued $10.5 million of its 8% bonds for $9.5 million. The bonds were priced to yield 10%. The bonds are dated June 30, 2018. Interest is payable semiannually on December 31 and July 1. If the effective interest method is used, by how much should the bond discount be reduced for the six months ended December 31, 2018?
Answer:
The discount will be reduced by 55,000
December 31h 2018
Interest expense 475,000
Cash 420,000
Discount on bond Payable 55,000
Explanation:
Hardy Corporation
face vale 10,500,000 bonds 8%
issued 9,500,000 were priced to yield 10%
Discount 1,000,000
carrying value x effective rate/2 = interest expense
9,500,000 x 10%/2 = 475,000 interest expense
face value x bond rate /2 = cash proceeds
10,500,000 x 8%/2 = (420,000 cash proceeds)
amortization= interest expense - cash proceeds
amortization on discount 55,000
Selected income statement data follow for Harley Davidson, Inc., for the year ended December 31, 2016 (in thousands): Income before Provision for Income Taxes Interest Expense Statutory Tax Rate Provision for Income Taxes Net Income $1,023,911 $29,670 37% $331,747 $692,164 What is the company's times interest earned ratio? Select one: A. 34.5 B. 24.3 C. 17.8 D. 35.5 E. None of the above
Answer:
D. 35.5
Explanation:
Times Interest Earned
[tex]\frac{EBIT}{Interest \:Expense}[/tex]
Where EBIT = Earning before interest and taxes
In your assingment we have the Income before the income taxes, whgich means it is including the interest expense, we need to remove it:
EBT + Interest expense = EBIT
1,023,911 + 29,670 =1,053,581
Now we calculate the TIE
1,053,581 / 29,670 = 35.50997641 = 35.51 = 35.5
The company earns their interest 35.5 times.
A monopolist’s inverse demand function is P = 150 – 3Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 6Q1, and the marginal cost of producing at facility 2 is MC2(Q2) = 2Q2.a. Provide the equation for the monopolist’s marginal revenue function. (Hint: Recall that Q1 + Q2 = Q.)MR(Q) = 150 - 6 Q1 - 3 Q2b. Determine the profit-maximizing level of output for each facility.Output for facility 1: Output for facility 2: c. Determine the profit-maximizing price.$
Answer:
Given : Inverse demand function : P = 150 - 3Q
Marginal cost of producing at facility 1: MC1(Q1) = 6Q1
Marginal cost of producing at facility 2: MC2(Q2) = 2Q2
Here we will first find Total Revenue.
i.e. Total Revenue(T.R) = P*Q
T.R(Q) = (150 - 3Q)*Q = [tex]150Q - 3Q^{2}[/tex]
Where [tex]Q = Q_{1} + Q_{2}[/tex]
[tex]MR = \frac{\delta T.R}{\delta (Q_{1}+ Q_{2})}[/tex]
(a) MR = 150 - 6Q
[tex]MR = 150 - 6(Q_{1} + Q_{2})[/tex]
(b) Since we know that profit maximizing condition is given as :
MR = MC
Therefore , profit maximizing condition for facility 1 is
[tex]150 - 6(Q_{1} + Q_{2})[/tex] = [tex]6Q_{1}[/tex]
[tex]150 - 12Q_{1} - 6Q_{2}[/tex]
Similary profit maximizing condition for facility 2 is
[tex]150 - 6(Q_{1} + Q_{2})[/tex] = [tex]2Q_{2}[/tex]
[tex]150 - 6Q_{1} - 8Q_{2}[/tex]
Now, evaluating these two equations. We get ;
[tex]150 - 12Q_{1} - 6Q_{2}[/tex] - [tex]150 - 6Q_{1} - 8Q_{2}[/tex]
[tex]Q_{2} = 3Q_{1}[/tex]
Therefore, the profit maximizing level of output for facility 1 is
[tex]Q_{1} = 5[/tex]
[tex]Q_{2} = 15[/tex]
(c)The profit maximizing price is
P = 150 - 3Q
[tex]P = 150 - 3(Q_{1}+Q_{2})[/tex]
[tex]P = 150 - 3(5 + 15)[/tex]
[tex]P = 150 - 60[/tex]
P = 90
The monopolist's marginal revenue function is derived from its inverse demand function and equaled to its marginal cost functions to find the profit-maximizing levels of output. The profit-maximizing price is then determined by substituting the total quantity into the demand function.
Explanation:The inverse demand function given is P = 150 - 3Q, from which we can derive the marginal revenue (MR) function. Marginal revenue is the derivative of the total revenue (TR) with respect to quantity (Q). In the given case, TR = PQ = (150 - 3Q)*Q = 150Q - 3Q². The MR is obtained by taking the derivative of TR, resulting in MR = d(TR)/dQ = 150 - 6Q.
To find the profit-maximizing output, a monopoly must set its MR equal to its marginal cost (MC). In this case, the monopolist’s MR function and MC functions of the two facilities are known, hence MR = MC1 gives 150 - 6Q = 6Q1, and MR = MC2 gives 150 - 6Q = 2Q2. Solving these for Q1 and Q2 will provide the profit-maximizing levels of output for each facility.
Subsequently, the profit-maximizing price can be found by substituting the value of Q1 + Q2 (which is Q) into the inverse demand function. Through this procedure, the monopolist can calculate the levels of output at which profits are maximized.
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Makers Corp. had additions to retained earnings for the year just ended of $248,000. The firm paid out $187,000 in cash dividends, and it has ending total equity of $4.92 million. The company currently has 150,000 shares of common stock outstanding. a. What are earnings per share? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What are dividends per share? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What is the book value per share? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. If the stock currently sells for $80 per share, what is the market-to-book ratio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) e. What is the price-earnings ratio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) f. If the company had sales of $4.74 million, what is the price-sales ratio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Answer:
(a.) Earning per share = [tex]\frac{Retained earning + dividend paid out }{common stock}[/tex]
Earning per share = [tex]\frac{248000 + 187000 }{150000}[/tex]
Earning per share = $2.90 per share
(b.) Dividend per share = [tex]\frac{Dividend paid out }{common stock}[/tex]
Dividend per share = [tex]\frac{187000}{150000}[/tex]
Dividend per share = $ 1.25 per share
(c.) Book value per share = [tex]\frac{Book value of equity }{common stock}[/tex]
Book value per share = [tex]\frac{4920000 }{150000}[/tex]
Book value per share = $32.80 per share
(d.) Market to book ratio = [tex]\frac{Market price per share }{Book value per share}[/tex]
Market to book ratio = [tex]\frac{80}{32.80}[/tex]
Market to book ratio = $2.44 per share
(e.) Price - earning ratio = [tex]\frac{Market price per share }{Earning per share}[/tex]
Price - earning ratio = [tex]\frac{80}{2.90}[/tex] = 27.59 times
(f.) Price sales ratio = [tex]\frac{Market price per share }{sales per share}[/tex]
Price sales ratio = [tex]\frac{80}{\frac{4740000}{150000} }[/tex] = [tex]\frac{80}{31.60}[/tex] = 2.53 times
All else being equal, which is true about a firm with high operating leverage relative to a firm with low operating leverage? Select one: A. A higher percentage of the high operating leverage firm's costs are fixed. B. The high operating leverage firm is exposed to less risk. C. The debt payments limit the high operating leverage firm's opportunities to turn a big profit. D. The high operating leverage firm has more debt.
Answer:
A. A higher percentage of the high operating leverage firm's costs are fixed.
Explanation:
Let's first focus on what is operating leverage:
It represents the degree on which an increase in sales revenue, will also increase the operating income of the company
So Being Contribution Margin the amount generate for sales, dividing that for the profit, we got the relationship between sales and income.
[tex]\frac{ContributionMargin}{Profit} = $Operating Leverage\\[/tex]
We can expand those like this
[tex]\frac{Q * CM} {Q * CM - Fixed Cost} = $Operating Leverage\\[/tex]
Where Q is the uantity of units sold
and CM is the contribution margin per unit.
Resuming: relationship between sales and operating income
That definition cuts "C" and "D" because they talk about debt, this measurement doesn't involve debt.
Now let's check "A"
It state that higher fixed cost amkes the leverage go higher, let's see if that is true:
[tex]\frac{Q * CM} {Q * CM - Fixed Cost} = $Operating Leverage\\[/tex]
Fixed Cost is subtracting in the divisor, so higher fixed cost makes the divisor lower.
When this happens, the result of the division is higher.
[tex]\lim_{n \to 0} \frac{a}{n}= \infty[/tex]
So this example is true
As an example:
If you have 100 CM and 80 Fixed cost then
[tex]\frac{100}{100-80}= 100/20 = 5\\[/tex]
IF you have 100 CM and 50 Fixed cost then
[tex]\frac{100}{100-50}= 100/50 = 2\\[/tex]
Wight Corporation has provided its contribution format income statement for June. The company produces and sells a single product. Sales (4,300 units) $ 150,500 Variable expenses 73,100 Contribution margin 77,400 Fixed expenses 44,600 Net operating income $ 32,800 If the company sells 4,400 units, its total contribution margin should be _____
Answer:
its total contribution margin should be 79,200
Explanation:
Our first goal:
Calculate the contribution margin per unit
[tex]77,400\div 4,300 = CM \:per \:unit\\CM \:per \:unit = 18[/tex]
Then we multiply by the sold units to get the new budgeted contribution margin.
[tex]Unit \: Sold \times CM \:per \:unit = CM_{total}\\4,400 \times 18 = 79,200[/tex]
Final answer:
To calculate the total contribution margin for 4,400 units, first find the per unit contribution margin from the existing data, which is $18 per unit. Then, multiply this per unit contribution margin by the increase in units sold (100 units) to determine the increase in contribution margin ($1,800). Adding this to the original contribution margin gives a new total of $79,200.
Explanation:
The subject of this question is the calculation of the total contribution margin when Wight Corporation sells an additional 100 units, raising their total sales from 4,300 units to 4,400 units. We know from the information provided that Wight Corporation has a contribution margin of $77,400 when they sell 4,300 units. To find the total contribution margin at 4,400 units, we need to calculate the contribution margin per unit and then multiply it by the number of units sold.
The contribution margin per unit is found by dividing the total contribution margin by the number of units sold. In this case, it's $77,400 divided by 4,300 units, which equals approximately $18 per unit.
If we sell 100 more units, with a contribution margin per unit of $18, the increase in total contribution margin is 100 units x $18/unit, which equals $1,800. Therefore, the new total contribution margin when selling 4,400 units would be $77,400 + $1,800 = $79,200.