The optimal size of the park.

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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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Table 11-1 Consider the town of Springfield with only three residents, Sophia, Amber, and Cedric. The three residents are trying to determine how large, in acres, they should build the public park. The following table shows each resident's willingness to pay for each acre of the park. Acres Willingness to Pay (Dollars) Sophia Amber Cedric 1 10 24 6 2 8 18 5 3 6 14 4 4 3 8 3 5 1 6 2 6 0 4 1 7 0 2 0 Refer to Table 11-1. Suppose the cost to build the park is $24 per acre and that the residents have agreed to split the cost of building the park equally. If the residents vote to determine the size of park to build, basing their decision solely on their own willingness to pay (and trying to maximize their own surplus), what is the largest park size for which the majority of residents would vote "yes?"

Consider the town of Springfield with only three residents, Sophia, Amber, and Cedric. The three residents are trying to determine how large, in acres, they should build the public park. The following table shows each resident's willingness to pay for each acre of the park. Acres Willingness to Pay (Dollars) Sophia Amber Cedric 1 10 24 6 2 8 18 5 3 6 14 4 4 3 8 3 5 1 6 2 6 0 4 1 7 0 2 0 Refer to Table 11-1. Suppose the cost to build the park is $24 per acre. How many acres should the park be to maximize total surplus from the park in Springfield?

Table 11-1Consider the town of Springfield with only three residents, Sophia, Amber, and Cedric. The three residents are trying to determine how large, in acres, they should build the public park. The table below shows each resident’s willingness to pay for each acre of the park. Acres Sophia Amber Cedric 1 $10 $24 $6 2 8 18 5 3 6 14 4 4 3 8 3 5 1 6 2 6 0 4 1 7 0 2 0 Refer to Table 11-1. Suppose the cost to build the park is $24 per acre and that the residents have agreed to split the cost of building the park equally. If the residents decide to build a park with size equal to the number of acres that maximizes total surplus from the park, how much total surplus will Amber receive? a. $56 b. $0 c. $26 d. $32