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sp2606 [1]
3 years ago
9

A new furnace for your small factory will cost $45,000 and a year to install, will require ongoing maintenance expenditures of $

1,400 a year. But it is far more fuel-efficient than your old furnace and will reduce your consumption of heating oil by 4,200 gallons per year. Heating oil this year will cost $2 a gallon; the price per gallon is expected to increase by $0.50 a year for the next 3 years and then to stabilize for the foreseeable future. The furnace will last for 20 years, at which point it will need to be replaced and will have no salvage value. The discount rate is 12%.a. What is the net present value of the investment in the furnace?b. What is the IRR? (Do not round intermediate calculations.c. What is the payback period? (Do not round intermediate calculations.d. What is the equivalent annual cost of the furnace? (Do not round intermediate calculations.e. What is the equivalent annual savings derived from the furnace?f. Compare the PV of the difference between the equivalent annual cost and savings to your answer to part (a). Are the two measures the same or is one larger?
Business
1 answer:
Anna35 [415]3 years ago
4 0

Answer:

a) NPV = $43,874.65

b) IRR = 24.37%

c) payback period = 5.33 years

d) equivalent annual cost = $6,024.55

e) equivalent annual savings = $13,298.61

f) since the NPV is positive, the equivalent annual savings must be higher than the equivalent annual costs

Explanation:

initial outlay year 0 = -$45,000

net savings year 1 = -$1,400 + (4,200 x $2) = $7,000

net savings year 2 = -$1,400 + (4,200 x $2.50) = $9,100

net savings year 3 = -$1,400 + (4,200 x $3) = $11,200

net savings years 4 - 20 = -$1,400 + (4,200 x $3.50) = $13,300

discount rate = 12%

using a financial calculator:

NPV = $43,874.65

IRR = 24.37%

payback period = 5.33 years

equivalent annual cost = (present value of costs x 12%) / / [1 - (1 + 12%)⁻ⁿ] =[($45,000 + $10,457.22) x 12%] / [1 - (1 + 12%)⁻ⁿ] = $6,654.87 / 0.89633 = $7,424.57

equivalent annual savings = (present value of savings x 12%) / / [1 - (1 + 12%)⁻ⁿ] = ($99,332.87 x 12%) / / [1 - (1 + 12%)⁻ⁿ] = $11,919.94 / 0.89633 = $13,298.61

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Ahat [919]

Answer:

The objective function is to minimize cost thru use of linear programming

Explanation:

A craftsman named William Barnes builds two kinds of​ birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 72 hours of labor and 120 units of lumber. Wren houses yield a profit of $ 10 each and bluebird houses yield a profit of $ 15 each. The aim of the objective function for William should be to ▼ Minimize Maximize the objective value.

The objective function is to minimize cost thru use of linear programming

3 0
3 years ago
As indicated in the chapter, return on investment (ROI) is well entrenched in business practice. However, its use can have negat
Juliette [100K]

Answer:

ROI = net profit / total investment

1. What is the current return on investment (ROI) being realized by your division

  • ROI = $625,000 / $4,150,000 =  15.06%

2. What would happen to the near-term ROI of your division after adding the effect of the new investment?

  • ROI = ($625,000 + $50,000) / ($4,150,000 + $550,000) =  14.36%

If you carry out the new project the ROI of your division will decrease.

3. As manager of this division, given your incentive compensation plan, would you be motivated to make the new investment?

  • Even though the new project's return (9.1%) is considered acceptable by upper management, you will probably reject it since it will decrease your division's total ROI. When managers are assigned bonuses based on certain achievements, reducing your profitability ratio will probably result in no bonus.
6 0
3 years ago
Which of the following statements can be used to explain the growth of international business? a. Many countries in Europe and A
Trava [24]

Answer:

a. Many countries in Europe and Asia were devastated after World War II and had to be rebuilt.

Explanation:

a) after WWII the US emerge as world leader taking the place of the UK and trade betwene Europe and Asia making post in the US improved global trade.

b) The postwar boom increased demand for product.

c) The cultural traditions did changge but not in that direction the world divided into Communinst and Capitalism

d) No, they weren't at all. Even Britain who didn't suffer land invasion has the south coast in ruins as a resutl of the aereal battle of brittian.

8 0
3 years ago
Because your mother is about to retire, she wants to buy an annuity that will provide her with $75,000 of income a year for 20 y
siniylev [52]

The calculated present value of the annuity is $915,166.70.

Explanation and Solution:

Annuity is a collection of fixed payments made or earned either at the close or at the beginning of any term such that a significant initial payment or receipt may be turned into a set of comparatively minor payments or receipts. An annuity that lasts indefinitely is called perpetuity.

The formula for the present value of the annuity is given by:

P = \frac{1- (1+i)^{-n} }{i}  * R

Where;

R = annual payment = $75,000

i = interest rate = 5.25%

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P = \frac{1- (1+5.25)^{-20} }{5.25}  * 75,000

P = $915,166.70

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A newspaper story on the effect of higher milk prices on the market for ice cream contained the following: "As a result [of the
antoniya [11.8K]

Answer:

The price elasticity of demand for icecream is -0.75, that means that is inelastic.

Explanation:

Price elasticity of demand measures the porcentage of the change in the demand when there is a change in the price. If the change in porcentage of the demand is less than the pocentage of change in the price we talk about inelastic demand. An increase in the price of inelastic goods will result in bigger revenues, as the porcentage in the drop of sales is less than the porcentage   of increase in the price.

The formula is: % in change demand/% in change of price

-3%/4= -0.75

The minus symbol indicates that when the price rises the demand decrease.

4 0
3 years ago
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