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Vikentia [17]
4 years ago
8

Suppose Margaret and Thomas are the only two homeowners in the neighborhood. Margaret's demand for clean streets is Q = 50 - 2P.

Thomas's demand for clean streets is Q = 40 - P. What is the socially optimal number of clean streets if the marginal cost of cleaning them is $35?
Business
1 answer:
pentagon [3]4 years ago
3 0

Answer:

20 is the socially optimal number

Explanation:

In this question, we are asked to calculate the socially optimal number of clean streets given the marginal cost of cleaning them.

To solve this problem, we employ a mathematical approach as follows:

Market demand = Sum of Individual demand

Magaret demand = p = (50-Q)/2 = 25-0.5Q

Thomas demand = P = 40-Q

Market demand = 25-0.5Q + 40-Q = 65-1.5Q

MC = 35

Socially optimal number = MC = Market demand

35 = 65-1.5Q

30 = 1.5Q

Q = 20

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4 0
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Savanna Company is considering two capital investment proposals. Relevant data on each project are as follows: Project Red Proje
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(a) Cash payback period:

     Project Red = 5.5 years

     Project blue  = 4.6 years

(b) Net present value for project Red = $19,760

     Net present value for project Blue =$164,580

(c) Annual rate of return:

Project Red =11.36%

Project Blue  =18.75%

(d) Project Blue

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Project Red Capital investment = $440,000

Project Red  Annual Net income = $ 25,000.

Project Blue Annual Net income = $ 60,000

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                                                       = 55,000

Annual depreciation Project Blue = (640000/8)

                                                       =  80,000

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Annual cash inflow project B = $140,000

(a)

Cash payback period = Initial investment/cash flow per period

Project Red = 440000 /80000

                   = 5.5 years

Project blue = 640000/ 140000

                    = 4.6 years

(b)

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                                                                       = $459,760

Project Blue Present value of cash inflows  =140000×5.747

                                                                        = 804580

Net present value for project Red = $459,760 - $440,000

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Net present value for project Blue = 804580 - $640,000  

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Project Red   = $25,000 / ($440000)/2

                       =11.36%

Project Blue =  $60000/(640000/2)

                    =18.75%

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