10) There are three groups in a community. Their demand curves for public television in hours of programming, T, are given respectively by W₁ = $200-T, W₂=$240-27, W3 = $320 - 27. Suppose public television is a pure public good that can be produced at a constant marginal cost of $200 per hour. a. What is the efficient number of hours of public television? Willingness to Pay Hours Vertical Group 1 (W₁) (7) Sum 100 100 120 260 106 94 108 230 112 88 96 200 118 82 4 84 170 b. How much public television would a competitive private market provide? Group 2 Group 3 (W₂) (W3) 40 28 16

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Chapter8: Market Failure
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10) There are three groups in a community. Their demand curves for public television in
hours of programming, T, are given respectively by
W₁ = $200-T,
W₂ = $240-27,
W3 = $320-2T.
Suppose public television is a pure public good that can be produced at a constant
marginal cost of $200 per hour.
a. What is the efficient number of hours of public television?
Willingness to Pay
Group 2 Group 3
Vertical
Hours
(7)
Group 1
(W₁)
(W₂)
(W3)
Sum
100
100
40
120
260
106
94
28
108
230
112
88
16
96
200
118
82
84
170
b. How much public television would a competitive private market provide?
Transcribed Image Text:10) There are three groups in a community. Their demand curves for public television in hours of programming, T, are given respectively by W₁ = $200-T, W₂ = $240-27, W3 = $320-2T. Suppose public television is a pure public good that can be produced at a constant marginal cost of $200 per hour. a. What is the efficient number of hours of public television? Willingness to Pay Group 2 Group 3 Vertical Hours (7) Group 1 (W₁) (W₂) (W3) Sum 100 100 40 120 260 106 94 28 108 230 112 88 16 96 200 118 82 84 170 b. How much public television would a competitive private market provide?
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