Answer: c. is violating the Fair Debt Collection Practices Act.
Explanation:
A person being in debt does not mean that they will lose their rights. They are still citizens and certain rights will be protected and these are shown in the Fair Debt Collection Practices Act.
One of the requirements of this Act is that debt collectors do not call between the hours 9pm and 8am as these hours are unreasonable to disturb people at. In calling Hilda at 1 am or 2 am therefore, this collection agency is in violation of the Act and can be sanctioned.
The following data apply to Elizabeth's Electrical Equipment:
Value of operations $20,000
Short-term investments $1,000
Debt $6,000
Number of shares 300
The company plans on distributing $50 million by repurchasing stock. What will the intrinsic per share stock price be immediately after the repurchase?
Answer:
$50
Explanation:
Calculation to determine the intrinsic per share stock price be immediately after the repurchase
First step
Total Assets=Value of operations of 20,000+ Short term investments of 1000
Total Assets=$21,000
Second step
Equity =Assets - Debt
Equity= $21,000-$6,000
Equity= $15,000
Now let determine the intrinsic per share stock price
Intrinsic per share stock price=$15,000/300
Intrinsic per share stock price=$50
Therefore the Intrinsic value per share will be $50 immediately after the repurchase has occured.
The intrinsic per share stock price immediately after the repurchase would be approximately $166,716.67
How did we get the value?To determine the intrinsic per share stock price immediately after the repurchase, we need to calculate the new number of shares outstanding after the repurchase and then divide the remaining value of operations by the new number of shares.
Given data:
Value of operations: $20,000
Short-term investments: $1,000
Debt: $6,000
Number of shares: 300
First, we need to calculate the new number of shares outstanding after the repurchase. Since the company plans on distributing $50 million by repurchasing stock, we can use this information to determine the number of shares repurchased.
The value of operations ($20,000) plus the short-term investments ($1,000) minus the debt ($6,000) gives us the total equity value of the company before the repurchase:
Equity value before repurchase = Value of operations + Short-term investments - Debt
= $20,000 + $1,000 - $6,000
= $15,000
Let's assume the repurchased shares are denoted by R.
Now, we can set up an equation to represent the total equity value after the repurchase:
Equity value after repurchase = (Number of shares - R) × Intrinsic per share stock price
Given that the total equity value after the repurchase is $15,000 and the number of shares is 300, we have:
$15,000 = (300 - R) × Intrinsic per share stock price
We also know that the company plans on distributing $50 million by repurchasing stock, so we can set up another equation to represent the total value of the repurchased shares:
Total value of repurchased shares = R × Intrinsic per share stock price
Given that the total value of repurchased shares is $50 million, we have:
$50,000,000 = R × Intrinsic per share stock price
Now we can solve these two equations simultaneously to find the values of R (repurchased shares) and Intrinsic per share stock price.
We have the following system of equations:
$15,000 = (300 - R) × Intrinsic per share stock price ...(1)
$50,000,000 = R × Intrinsic per share stock price ...(2)
Divide equation (2) by Intrinsic per share stock price:
$50,000,000 / Intrinsic per share stock price = R
Substitute this value of R into equation (1):
$15,000 = (300 - ($50,000,000 / Intrinsic per share stock price)) × Intrinsic per share stock price
Simplify:
$15,000 = 300 × Intrinsic per share stock price - (50,000,000 / Intrinsic per share stock price) × Intrinsic per share stock price
$15,000 = 300 × Intrinsic per share stock price - 50,000,000
Rearrange the equation:
300 × Intrinsic per share stock price = $15,000 + $50,000,000
300 × Intrinsic per share stock price = $50,015,000
Intrinsic per share stock price = $50,015,000 / 300
Intrinsic per share stock price = $166,716.67 (rounded to two decimal places)
Therefore, the intrinsic per share stock price immediately after the repurchase would be approximately $166,716.67.
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Dilts Company has a unit selling price of $400, unit variable costs of $250, and fixed costs of $210,000. Compute the break-even point in units using (a) the mathematical equation and (b) unit contribution margin.
Answer:
(a) Break-even point in units using the mathematical equation = 1,400 units
(b) Break-even point in units using unit contribution margin = 1,400 units
Explanation:
(a) Break-even point in units using the mathematical equation
Break-even point in units using the mathematical equation = Fixed costs / (Unit selling price - Unit variable costs) …………….. (1)
Substituting the relevant values into equation (1), we have:
Break-even point in units using the mathematical equation = $210,000 / ($400 - $250) = 1,400 units
(b) Break-even point in units using unit contribution margin
Unit contribution margin = Unit selling price - Unit variable costs = $400 - $250 = $150
Therefore, we have:
Break-even point in units using unit contribution margin = Fixed costs / Unit contribution margin = = $210,000 / $50 = 1,400 units
Your father offers you a choice of $120,000 in 11 years or $48,500 today. Use Appendix B as an approximate answer, but calculate your final answer using the formula and financial calculator methods. a-1. If money is discounted at 11 percent, what is the present value of the $120,000
Answer:
$38,074
Explanation:
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 to 10 = 0
Cash flow in year 11 = $120,000
I = 11
PV = 38,074
To determine PV using a financial calculator take the following steps:
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
Given the choice, i would choose $48,500 today.
Suppose real GDP is forecasted to grow by 1.881.88 %, the velocity of money has been stable, and the Fed announces an inflation target of 2.502.50 %. What is the largest money growth rate the Fed could implement and still achieve its inflation target
Answer: 4.38%
Explanation:
Use the Quantity Theory of Money to find the growth rat:
MV = PY
ΔMoney supply + ΔVelocity = ΔPrice level + ΔEconomic output or GDP
Velocity is stable so is 0.
ΔMoney supply + 0 = 2.50% + 1.88%
ΔMoney supply = 4.38%
Exercise 8-19 Amortization of intangible assets LO P4 Milano Gallery purchases the copyright on a painting for $418,000 on January 1. The copyright is good for 10 more years. The company plans to sell prints for 11 years. Prepare entries to record the purchase of the copyright on January 1 and its annual amortization on December 31.
Answer:
Jan 01
Dr Copyright $418,000
Cr Cash $418,000
Dec 31
Dr Amortization expense—Copyright $41,800
Cr Accumulated amortization—Copyright $41,800
Explanation:
Preparation of entries to record the purchase of the copyright on January 1 and its annual amortization on December 31.
Jan 01
Dr Copyright $418,000
Cr Cash $418,000
(To record purchase of copyright )
Dec 31
Dr Amortization expense—Copyright $41,800
Cr Accumulated amortization—Copyright $41,800
($418,000/10 years)
(To record amortization expense of copyright )
A consumer's weekly income is $250, and the consumer buys 12 bars of chocolate per week. When weekly income increases to $280, the consumer buys 13 bars per week. The income elasticity of demand for chocolate by this consumer is about
Answer:
0.69
Explanation:
Given that we have the formula for calculating income elasticity of demand as the percent change in quantity demanded divided by the percent change in income, hence, we have the percent change in quantity demanded => 13 - 12 = 1 ÷ 12 = 0.083
the percent change in income => 280 - 250 = 30 ÷ 250 = 0.12
Therefore we have => 0.083 ÷ 0.12 = 0.69
Hence, the final answer is 0.69
The company has net sales revenue of $3.6 million during 2018. The company's records also included the following information: Assets 12/31/17 12/31/18 Property, plant and equipment $ 2.3 million $ 2.5 million Licensing agreements $ 0.5 million $ 0.4 million Goodwill $ 0.3 million $ 0.3 million Investments $ 0.4 million $ 0.5 million What is the company's fixed asset turnover ratio for 2018
Answer:
1.5
Explanation:
Calculation to determine the company's fixed asset turnover ratio for 2018
Average Net Fixed Assets=3,600,000/ [(2,300,000 + 2,500,000)/2]
Average Net Fixed Assets=3,600,000/(4,800,000/2)
Average Net Fixed Assets=3,600,000/2,400,000
Average Net Fixed Assets = 1.5
Therefore the company's fixed asset turnover ratio for 2018 is 1.5
Super Garage was started on June 1 by Mr. Peter Thomson . A summary of June transactions
is presented below.
June 1. Invested $25,000 cash to start the garage.
2. Purchased repair equipment for $5,000 cash.
4. Paid $500 cash for the space rent.
4. Hired an employee
5. Paid $700 for a one-year fire insurance policy.
6. Received $10000 in cash from customers for repair service.
10. Provided repair service on account to customers $1750.
21. Collected cash of $5000 for services provided on June 6.
27. Withdrew $1,000 cash for personal use.
30. Paid employee salaries $3,000.
30. Received an electricity bills $170.
Required:
i. Journalize the transactions
ii. Post and balance the transactions to ledger accounts
A company like Motorola might establish a goal of reducing its inventory by 50 percent over the next year. To ensure that it reaches this goal, the company could monitor its progress on a quarterly or monthly basis. If the managers at Motorola discover that there is a danger of not achieving this goal, they can take corrective action to adjust for the deficiency. This is a description of the managers' ____ function.
Answer:
stfhgocovovohdj vbb
Explanation:
sryyy
the gap between 'where we are now' and 'where we want to be' is known as the.....
Answer:
Planning gap.
Explanation:
Planning can be defined as the process of developing organizational objectives and translating them into action plans or courses of action.
This ultimately implies that, planning is a strategic technique used by organizations to make an aggregate plan for its manufacturing (production) process typically ahead of time, in order to have an idea of the level of goods that are to be produced and what resources are required so as to reduce the total cost of production to its barest minimum.
The planning gap can be defined as the gap between "where we are now?" and "where we want to be?"
Basically, "where are we now?" describe the current situation of things or financial and non-financial activities that a business firm currently holds.
On the other hand, "where we want to be?" is a vision and mission statement that focuses on achieving the goals and objectives set for a business firm.
Define the KPI ‘rate of staff absenteeism’.
Answer:
KPI, Key Performance Indicators are used for measuring the average absenteeism rate per employee. This is computed as a % of the total working days.
Explanation:
Individual employee Key Performance Indicators (KPIs) are metrics that assist in tracking the ability of your employees to meet your expectations and their impact on the business goals.
A new employee, John Chapman, earns $10 per hour and gets time-and-a-half over 40 hours per week. His first week he worked 45 hours. Deductions from his check were $30 for OASDI, $7 for Medicare, $ 61 for federal income tax withholding, and $15 for a United Way contribution. What was his gross pay for the period
Answer: $475
Explanation:
Gross pay is:
= Regular pay + Overtime
= (Regular hours * Regular pay) + ( Overtime hours * regular pay * time and a half)
= (10 * 40 hours) + ( (45 - 40 hours) * 10 * 1.5)
= 400 + 75
= $475
Assume, for this question only, the following: During the negotiations Juan guaranteed Sarita that the business had turned a profit in each of the past 5 years. Actually, it lost money in each of those years, although Juan did not know that. When Juan made the statement about the business's profitability, however, Sarita was conferring with her attorney and did not hear it. Her friend Harry, who was observing the negotiations, heard Juan's statement. Before long, when Sarita realizes what a bad deal she's made, she laments the fact to Harry. When Harry inquires how a business that had been profitable under Juan was suddenly losing money, Sarita is confused. They finally realize that Harry heard Juan's misstatement about the business's profitability and Sarita did not. Even so, Sarita is thrilled. With Harry as her key witness, she seeks to rescind the sale agreement claiming innocent misrepresentation. Which of the following is true?
A. Rescission, because Juan intended to defraud Sarita.
B. No rescission, because Juan's claims of the business's profitability would not have been material to Sarita if she had heard them.
C. No rescission, because Juan lacked sufficient knowledge of the false nature of his statement and did not intend to trick Sarita.
D. Rescission, because Juan's claims of the business's profitability would have been material to Sarita if she had heard them. E. No rescission, because Sarita did not actually rely on Juan's false statement about the business's profitability.
Answer:
The true statement about this case is:
D. Rescission, because Juan's claims of the business's profitability would have been material to Sarita if she had heard them.
Explanation:
Though Juan was unaware that the statement was false at the time the contract was signed, the remedy is recession since no damage has been sustained by the other party. The false statement borders on negligent misrepresentation because Juan was supposed to be aware of the company's profitability by investigating the material fact. While it is not clear if reliance was placed on the statement when the contract was signed, the fact remains that there was a negligent misrepresentation.
Mr A is unemployed but he decides to move out the labor market to stay at home and enjoy the rest of his life by inheritance. Other things equal, the action will decrease the unemployment rate. True or false? and why
Answer:
False
Explanation:
In general, the unemployment rate in the United States is obtained by dividing the number of unemployed persons by the number of persons in the labor force (employed or unemployed) and multiplying that figure by 100.
https://www.britannica.com › story
la·bor forceall the members of a particular organization or population who are able to work, viewed collectively.
"a firm with a labor force of one hundred people"
Dictionary
Definitions from Oxford Languages
MC Qu. 101 The following information... The following information describes a company's usage of direct labor in a recent period. The direct labor rate variance is: Actual hours used 46,000 Actual rate per hour $ 16 Standard rate per hour $ 15 Standard hours for units produced 48,000
Answer:
$46,000 Unfavorable
Explanation:
Calculation to determine what The direct labor rate variance is:
Using this formula
Direct labor rate variance = Actual hours * ( Actual Rate - Standard Rate)
Let plug in the formula
Direct labor rate variance=46000*($16- $15)
Direct labor rate variance=46,000*$1
Direct labor rate variance=$46,000 Unfavorable
Therefore The direct labor rate variance is: $46,000 Unfavorable
Floyd tells his daughter Glenda that she can have his Harley Davidson when he dies, but he does not add this to his will, and he is not on his deathbed. This is
The scenario explained shows that this is not a valid gift.
Some of the criterias for a gift to be considered a valid gift is that there should be a competent donor, an eligible donee, an intention to donate a particular thing and there should be a transfer of possession of that property or thing.
In this case, Floyd tells his daughter that he will give her a particular gift when he dies, but he eventually does not add this to his will.
Therefore, in this case, there's no transfer of possession to the daughter. Therefore, it's not a valid gift.
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Bombs Away Video Games Corporation has forecasted the following monthly sales:
January $113,000 July $58,000
February 106,000 August 58,000
March 38,000 September 68,000
April 38,000 October 98,000
May 33,000 November 118,000
June 48,000 December 136,000
Bombs Away Video Games sells the popular Strafe and Capture video game. It sells for $5 per unit and costs $2 per unit to produce. A level production policy is followed. Each month's production is equal to annual sales (in units) divided by 12. Of each month's sales, 40 percent are for cash and 60 percent are on account. All accounts receivable are collected in the month after the sale is made.
Required:
Construct a monthly production and inventory schedule in units. Beginning inventory in January is 38,000 units.
Answer:
Bombs Away Video Games Corporation
Production and Inventory Schedule
Sales Units Production units Ending Units
Beginning inventory 38,000
January 22,600 15,200 30,600
February 21,200 15,200 24,600
March 7,600 15,200 1,800
April 7,600 15,200 9,400
May 6,600 15,200 18,000
June 9,600 15,200 23,600
July 11,600 15,200 27,200
August 11,600 15,200 30,800
September 13,600 15,200 32,400
October 19,600 15,200 28,000
November 23,600 15,200 19,600
December 27,200 15,200 7,600
Explanation:
a) data and Calculations:
Sales Budget ($'000) Sales Units Production units Ending Units
Beginning inventory 38,000
January $113,000 22,600 15,200 30,600
February 106,000 21,200 15,200 24,600
March 38,000 7,600 15,200 1,800
April 38,000 7,600 15,200 9,400
May 33,000 6,600 15,200 18,000
June 48,000 9,600 15,200 23,600
July 58,000 11,600 15,200 27,200
August 58,000 11,600 15,200 30,800
September 68,000 13,600 15,200 32,400
October 98,000 19,600 15,200 28,000
November 118,000 23,600 15,200 19,600
December 136,000 27,200 15,200 7,600
Total 182,400 182,400
During 2017, Benson purchased $1,450,000 of raw materials, incurred direct labor costs of $250,000, and incurred manufacturing overhead totaling $160,000. How much raw materials were transferred to production during 2017 for Benson
Answer:
Raw Materials transferred to production during 2017 $1,466,000
Explanation:
The computation of the raw material transferred to production is given below:
Opening raw material 2016 $80,000
Add : Purchase of Raw material $1,450,000
Less Closing Stock raw material 2017 $64,000
Raw Materials transferred to production during 2017 $1,466,000
Hence, the same should be relevant
On its December 31, 2017, balance sheet, Calgary Industries reports equipment of $470,000 and accumulated depreciation of $94,000. During 2018, the company plans to purchase additional equipment costing $100,000 and expects depreciation expense of $40,000. Additionally, it plans to dispose of equipment that originally cost $52,000 and had accumulated depreciation of $7,600. The balances for equipment and accumulated depreciation, respectively, on the December 31, 2018 budgeted balance sheet are:
Answer:
The cost balance on 31 December 2018 is $518,000 while that of accumulated depreciation is $126,400
Explanation:
The balance of fixed assets is computed as
Opening balance - accumulated depreciation - depreciation + Addition - Disposal
Hence given that on December 31, 2017, Calgary Industries reports equipment of $470,000 and accumulated depreciation of $94,000. During 2018, the company plans to purchase additional equipment costing $100,000 and expects depreciation expense of $40,000, Additionally, it plans to dispose of equipment that originally cost $52,000 and had accumulated depreciation of $7,600 the balance then
= $470,000 + $100,000 - $52,000
= $518,000
The accumulated depreciation
= $94,000 + $40,000 - $7,600
= $126,400
Jebali Company reports gross income of $340,000 and other property-related expenses of $229,000 and uses a depletion rate of 14%. Calculate Jebali's depletion allowance for the current year. $fill in the blank 1
Answer:
15,540
Explanation:
Depletion = depletion rate x (gross income - expenses)
0.14 x ($340,000 - $229,000) = 15,540
Identify whether each of the following statements best illustrates the concept of consumer surplus, producer surplus, or neither.
Statement Consumer Surplus Producer Surplus Neither
Even though I was willing to pay up to $83 for a watch, I bought a watch for only $75.
I sold a used textbook for $55, even though I was willing to go as low as $47 in order to sell it.
A local store was having a sale on sweaters, so I bought a jersey sweater for my brother.
Answer:
Consumer surplus
producer surplus
neither
Explanation:
Consumer surplus is the difference between the willingness to pay of a consumer and the price of the good.
Consumer surplus = willingness to pay – price of the good
The willingness to pay for the watch was $83 but the watch was bought for $75. There is a consumer surplus from the purchase
Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product
Producer surplus = price – least price the seller is willing to accept
The least price the seller was willing to accept for the purchase was $47 but he was paid $55 for the textbook. This is a producer surplus
Buff is considering a new packaging machine. The initial cost is $10,000 and we would save $4,000 per year in labor costs. If our MARR is 12% and our projects must have a 3-year discounted payback period, should we purchase this packaging machine?
Yes
No
Not enough nformation to answer.
Answer:
NO
Explanation:
Discounted payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative discounted cash flows
For the machine to be accepted, the total amount invested should be recovered in three years or less
Amount recovered = - cost of the project + discounted value of the cash flow
Amount recovered in year 1 = -10,000 + (4000 / 1.12) = -6,428.57
Amount recovered in year 2= -6,428.57 - (4000/ 1.12^2) = -3239.74
Amount recovered in year 3= -3239.74 + (4000/ 1.12^3) = -392.62
the project would not be accepted because the amount invested would not be recovered within 3 years
Cheers Corporation purchased for $500,000 5,000 shares of Beer Corporation common stock (less than 5% of the outstanding Beer stock) at the beginning of the current year. It used $400,000 of borrowed money and $100,000 of its own cash to make this purchase. Cheers paid $50,000 of interest on the debt this year. Cheers received a $40,000 cash dividend on the Beer stock on September 1 of the current year. Cheers has $5 million of taxable income before any dividends-received deduction. a. What amount can Cheers deduct for the interest paid on the loan
Answer:
Cheers Corporation
The amount that Cheers can deduct for the interest paid on the loan is:
= $50,000.
Explanation:
a) Data:
Investment in Beer Corporation = $500,000
Number of Beer shares purchased = 5,000
Percentage shareholding in Beer Corporation < 5%
Amount borrowed for the investment = $400,000
Own cash used for the purchase = $100,000
Interest paid on the debt for this year = $50,000 = 12.5%
Cash dividend received for the year = $40,000
Cheers taxable income before dividends = $5 million
The amount of interest deductible = $50,000
b) Since the interest was made for the purpose of the investment in Beers Corporation, the whole amount of interest expense for the year is deductible.
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Units
1
Cost Flow Methods
The following three identical units of Item LO3V are purchased during April:
Item Beta
Cost
April 2
Purchase
$270
April 15
Purchase
272
April 20
Purchase
Total
$816
Average cost per unit
($816 + 3 units)
Assume that one unit is sold on April 27 for $345. Determine the gross profit for April and ending inventory on April 30 using the (a) first-in, first-out (FIFO); (b)
last-in, first-out (LIFO); and (c) weighted average cost method.
1
1
274
3
$272
Gross Profit
Ending Inventory
a. First-In, first-out (FIFO)
b. Last-in, first-out (LIFO)
c. Weighted average cost
Answer:
Cost Flow Methods
Gross profit and ending inventory on April 30 using:
Gross Profit Ending Inventory
(a) first-in, first-out (FIFO) $75 $546
(b) last-in, first-out (LIFO) $71 $542
(c) weighted average cost method $73 $544
Explanation:
a) Data and Calculations:
Item Beta Cost
April 2 Purchase $270
April 15 Purchase 272
April 20 Purchase 274
Total $816
Average cost per unit = $272 ($816/ 3 units)
Assume that one unit is sold on April 27 for $345
Gross profit and ending inventory on April 30 using:
Gross Profit Ending Inventory
(a) first-in, first-out (FIFO) $75 ($345 - $270) $546 ($816 - $270)
(b) last-in, first-out (LIFO) $71 ($345 - $274) $542 ($816 - $274)
(c) weighted average cost method $73 ($345 - $272) $544 ($816 - $272)
Ending inventory = Cost of goods available for sale Minus Cost of goods sold
Gross profit = Sales Minus Cost of goods sold
Haulsee Inc. builds 800,000 golf carts a year and purchases the electronic motors for these carts for $370 each. Ordering costs are $540, and Haulsee's inventory carrying costs average 14% of the inventory value.
What is the economic order quantity (EOQ) for Haulsee?
Answer:
4,084
Explanation:
Calculation to determine the economic order quantity (EOQ) for Haulsee
Using this formula
Economic Order Quantity (EOQ) =((2* Annual Requirement * Cost per order)/Carrying cost per unit)^ (1/2)
Let plug in the formula
Economic Order Quantity (EOQ) = ((2*800,000*540)/(370*14%))^(1/2)
Economic Order Quantity (EOQ) = 4,084 units
Therefore the economic order quantity (EOQ) for Haulsee is 4,084 units
A firm sells its product in a perfectly competitive market where other firms charge a price of $110 per unit. The firm estimates its total costs as C(Q) = 70 + 14Q + 2Q2. a. How much output should the firm produce in the short run?
Answer: 24 units.
Explanation:
Price(P) = 110
C(Q) = 70 + 14Q + 2Q²
The output level will be gotten when price e equals to the marginal cost.
Since C(Q) = 70 + 14Q + 2Q², the marginal cost (MC) will be: 14 + 4Q.
Therefore, P = MC
110 = 14 + 4Q
4Q = 110 - 14
4Q = 96
Q = 96/4
Q = 24
In the short run, the firm will produce 24 units.
As of December 31, Drake Inc. reported the following (in millions): Current AssetsLong-term AssetsCurrent LiabilitiesTotal Liabilities $31,967$42,737$26,132$61,491 What amount did Drake Inc. report as equity on December 31
Answer:
$13,213
Explanation:
The computation of the equity is shown below:
As we know that
Total assets = total liabilities + total stockholder equity
here
Totalassets be
= $31,967 + $42,737
= $74,707
ANd, the total liabilities is $61,491
So, the equity should be
= $74,707 - $61,491
= $13,213
Explain how the hotel business could create added value to the goods they buy in?
Answer:
Well-designed rooms, attractive and comfortable appliances, well-dressed and respectful assistants, good quality entertainment equipment, and delightful food made by experienced chefs.
Explanation:
Guests will feel more welcomed to a clean and comfortable hotel. Respectful assistants, good quality entertainment equipment, and food made by experienced chefs can boost the morale of guests.
Big Red Motors, Inc., employs 15 personnel to market its line of luxury automobiles. The average car sells for $75,000, and a 6 percent commission is paid to the salesperson. Big Red Motors is considering a change to the commission arrangement where the company would pay each salesperson a salary of $1,600 per mont plus a commission of 2 percent of the sales made by that salesperson. What is the amount of total monthly car sales at whit Big Red Motors would be indifferent as to which plan to select?
Answer: $600,000
Explanation:
The commission earned per car in the initial arrangement is:
= 6% * Total cars sales
With the second arrangement the amount spent would be:
= Salary of employees + commission
= (15 * 1,600) + (2% * total car sales)
= 24,000 + (2% * car sales)
Assuming total car sales is x, relevant expression is:
6% * x = 24,000 + (2% * x)
0.06x = 24,000 + 0.02x
0.06x - 0.02x = 24,000
0.04x = 24,000
x = 24,000 / 0.04
x = $600,000
A permanent flood control dam is expected to have an initial cost of $2.8 million and an annual upkeep cost of $20,000. In addition, minor reconstruction will be required every 5 years at a cost of $200,000. As a result of the dam, flood damage will be reduced by an average of $180,000 per year. Using an interest rate of 6% per year, the conventional B/C ratio will be closest to:
Answer:
0.81
Explanation:
Present Value of annual Maintenance cost = $20,000 / 6% = $333,333.33
In five year time, $200,000 is required as major maintenance cost. So effective rate for 5 year = [(1 + 6%) ^ 5] - 1 = 1.3382 - 1 = 0.3382 = 33.82%. Present Value of 5 year cost = $200,000 / 33.82% = $200,000 / 0.3382 = $591,366.06
Total Present Value cost = $2,800,000 + $333,333.33 + $591,366.06 = $3,724,699.39.
Annual Cost = $3,724,699.39 * 6% = $223,481.96.
Benefit / Cost = $180,000 / $223,481.96
Benefit / Cost = 0.805434138845032
Benefit / Cost = 0.81
So, conventional B/C ratio is 0.81.
