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Stels [109]
3 years ago
14

A software company that installs systems for inventory control using RFID technology spent $760,000 per year for the past 3 year

s in developing their latest product. The company optimistically hopes to recover its investment in 5 years on a single contract beginning immediately (year 0). The company is negotiating a contract that will pay $280,000 now and a to-be-agreed-upon annual increase of a constant amount each year through year 5. How much must the income increase (an arithmetic gradient) each year if the company wants to realize a return of 9% per year
Business
1 answer:
IgorC [24]3 years ago
5 0

Answer:

$2,096,924.50

Explanation:

Present value of an investment and cash inflows is measured at present time means year 0. Gradient is also valued at present time.

$760,000 each year at 9% for next 3 years is annuity payment and its Present value can be calculated as follow

PV of Annuity = P + P x ( 1 - ( 1 + r )^-(n-1) / r

Where

P = $760,000

r = 9%

n = 3 years

Placing values in the formula

PV of Annuity = $760,000 + $760,000 x ( 1 - ( 1 + 9% )^-(3-1) / 9%

PV of Annuity = $760,000 + $760,000 x 1.759111  

PV of Annuity = $760,000 + $1,336,924.50  

PV of Annuity = $2,096,924.50

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Suppose the demand curve for a product is given by Q = 11 - 2P + 3Ps Where P is the price of the product and Ps is the price of
Alex17521 [72]

Answer: (a) -0.1412

(b) 0.4941

Explanation:

Q = 11 - 2P + 3Ps

Where,

P - price of the product

Ps - price of a substitute good

Ps = $2.80

P = $1.20

\frac{dQ}{dP} = -2

\frac{dQ}{dPs} = 3

Price\ elasticity\ of\ demand= \frac{P}{Q}\times\frac{dQ}{dP}

Price\ elasticity\ of\ demand= \frac{1.20}{11-2P+3Ps}\times(-2)

Price\ elasticity\ of\ demand= \frac{1.20}{11-2\times1.2+3\times2.8}\times(-2)

                                                     = \frac{-2.4}{17}

                                                     = -0.1412

Cross\ Price\ elasticity\ of\ demand= \frac{Ps}{Q}\times\frac{dQ}{dPs}

                                                                 = \frac{2.8}{17}\times3

                                                                 = 0.4941

4 0
3 years ago
Suppose that the experiment to toss a balanced coin three times independently. Define the following events
Rasek [7]

Answer:

Probability = 7/9

Probability = 3/9

Probability = 2/9

Explanation:

Total probability = 2³ = 9

Computation:

A is the event of getting at least one head

Probability = Event of getting at least one head / Total event

Probability = 7/9

B is the event of getting exactly two heads and one tail

Probability = 3/9

C is the event of getting all three coins with the same side

Probability = 2/9

3 0
3 years ago
A _________ is generally considered an appreciating asset because it will _________ in value over time.
DIA [1.3K]
The answer is C-House;increase
5 0
3 years ago
Your local government is concerned about the lack of affordable apartments in the area. To combat the problem it proposes to set
Sidana [21]

Answer: excess demand, underestimate

Explanation:

P= 1200 - 2Q

300= 1200 - 2Q

2Q = 1200 -300

2Q = 900

Q = 900/2

Q = 450

Quantity demanded is 450 units

Quantity supplied Q - P = 300

Excess demand = 450 - 300 = 150

The policy will lead to excess demand of 150 per month.

P= 1200 - 2Q

P= 1200 - 2(300)

= 1200 - 600

= 600

Willing to pay price is $600.

Deadweight loss = 0.5 × (Price buyers are willing to pay - ceiling price) × (market quantity supplied - ceiling quantity supplied)

= 0.5(600-300)(400-300)

= 0.5(300)(100)

= 15000

Deadweight loss is $15000

The welfare loss underestimate the actual loss

5 0
4 years ago
Oscar Clemente is the manager of Forbes Division of Pitt, Inc., a manufacturer of biotech products. Forbes Division, which has $
yawa3891 [41]

Answer:

<h2>Forbes Division of Pitt, Inc.</h2><h3>Performance Report</h3>

by Oscar Clemente

ROI = $1,900,000/$4,500,000 x 100 = 42.222%

(Return on Investment = Operating Income/net book value of new investment x 100)

Explanation:

a) Forbes Division's Expected Income Statement at the beginning of the year:                                              Year 1                    Year 2

Sales revenue                          $ 16,000,000      $ 17,600,000  

Operating costs:

   Variable                                    2,000,000          2,200,000

Fixed (all cash)                             7,500,000          6,750,000

Depreciation: New equipment    1,500,000          2,000,000

                      Other                     1,250,000           1,250,000

Disposal of old equipment (loss)                           3,500,000      

Division operating profit       $ 3,750,000       $ 1,900,000

b) Return on Investment (ROI) is a financial performance measure which evaluates the efficiency of an investment, by trying to directly measure the amount of return on a particular investment, relative to the investment's cost.

c) The Formula for ROI calculation is to subtract the initial value of the investment from the final value of the investment (which equals the net return), then dividing this new number (the net return) by the cost of the investment, and, finally, multiplying it by 100.  In this Forbes Division, the operating income is taken as the difference between the initial value of the investment and the final value of the investment.

7 0
3 years ago
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