There are two people. Each person's demand for a public good is P = 20 - Q. The marginal cost of providing the public good is given by MC2 = $12 (MC is not $24). The above graph summarizes the relevant information. The total demand for the two workers shown above is the vertical sum of the demand curve for each worker. (a) What is the socially efficient quantity of the public good? (b) How much will each person have to pay per unit to provide the socially efficient quantity? (c) What is the consumer surplus for each person based on the quantity determined in (a) and the price determined in (b)? (d) Given that this is a public good, if either one of the two people does not pay the price you have stated in (b), can they be prevented from consuming the good?

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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There are two people. Each person's demand for a public good is P = 20 - Q.
The marginal cost of providing the public good is given by MC2 = $12 (MC is not $24). The
above graph summarizes the relevant information. The total demand for the two workers
shown above is the vertical sum of the demand curve for each worker.
(a) What is the socially efficient quantity of the public good?
(b) How much will each person have to pay per unit to provide the socially efficient
quantity?
(c) What is the consumer surplus for each person based on the quantity determined in (a) and
the price determined in (b)?
(d) Given that this is a public good, if either one of the two people does not pay the price you
have stated in (b), can they be prevented from consuming the good? 

Price
42
40
38
36-
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6-
4-
2
0
0
2
6
8
10
Total demand for the two workers
MC2
Each worker's individual demand curve
12 14 16
18 20
Quantity
Transcribed Image Text:Price 42 40 38 36- 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6- 4- 2 0 0 2 6 8 10 Total demand for the two workers MC2 Each worker's individual demand curve 12 14 16 18 20 Quantity
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