Economics (7th Edition) (What's New in Economics)
Economics (7th Edition) (What's New in Economics)
7th Edition
ISBN: 9780134738321
Author: R. Glenn Hubbard, Anthony Patrick O'Brien
Publisher: PEARSON
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Chapter 5, Problem 5.4.6PA

Sub part (a):

To determine

The optimal size of the park.

Sub part (b):

To determine

The optimal size of the park.

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Consider a town with three residents. The residents' demand curves for various acres of a public park are shown below. The public's willingness to pay for the 4th acre of parkland is Price (S) 12 12 10 CO 8 2 6 Price ($) 12 12 10 8 2 Price (S) 12 10 2 8 6 0 2 4 6 8 10 Citizen X's Demand 0 2 4 6 8 10 Citizen Y's Demand 0 2 4 6 8 10 Citizen Z's Demand $14 $26 $8 520
11-) Andrew, Beth, and Cathy live in Lindhville. Andrew’s demand for bike paths, a public good, is given by Q = 12–2P. Beth’s demand is Q = 18–P, and Cathy’s is Q = 8–P/3. The marginal cost of building a bike path is MC = 21. The town government decides to use the following procedure for deciding how many paths to build. It asks each resident how many paths they want, and it builds the largest number asked for by any resident. To pay for these paths, it then taxes Andrew, Beth, and Cathy the prices a, b, and c per path, respectively, where a + b + c = MC. (The residents know these tax rates before stating how many paths they want.)A-). If the taxes are set so that each resident shares the cost evenly (a = b = c), how many paths will get built?B)  Show that the government can achieve the social optimum by setting the correct tax prices a, b, and c. What prices should it set?
Table 17-1Imagine a small town in which only two residents, Rochelle and Alec, own wells that produce safe drinking water.  Each week Rochelle and Alec work together to decide how many gallons of water to pump.  They bring the water to town and sell it at whatever price the market will bear.  To keep things simple, suppose that Rochelle and Alec can pump as much water as they want without cost so that the marginal cost of water equals zero.  The weekly town demand schedule and total revenue schedule for water is shown in the table below:   Quantity(in gallons) Price Total Revenue(and Total Profit) 0 $60 $0 100 55 5,500 200 50 10,000 300 45 13,500 400 40 16,000 500 35 17,500 600 30 18,000 700 25 17,500 800 20 16,000 900 15 13,500 1,000 10 10,000 1,100 5 5,500 1,200 0 0       Refer to Table 17-1.  If this market for water were perfectly competitive instead of…
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