Public Goods. Suppose a neighborhood in Segovia’s central business area is deciding how many fountains they want to see in the main avenue. There is a first group of 20 neighbors and each has a demand Q = 20 − P for fountains. There is a second group of 5 people, and each has a demand Q = 20 − 2P for fountains. The cost of building each fountain is 225. How many fountains are socially optimal? Fountains are public goods. Hint: To obtain the SMB, please first transform the demand functions into “public goods’ valuations” (“isolate P”) and then multiply them by the amount of neighbors per group. Then you can proceed with the vertical summation.
Public Goods. Suppose a neighborhood in Segovia’s central business area is deciding how many fountains they want to see in the main avenue. There is a first group of 20 neighbors and each has a demand Q = 20 − P for fountains. There is a second group of 5 people, and each has a demand Q = 20 − 2P for fountains. The cost of building each fountain is 225. How many fountains are socially optimal? Fountains are public goods. Hint: To obtain the SMB, please first transform the demand functions into “public goods’ valuations” (“isolate P”) and then multiply them by the amount of neighbors per group. Then you can proceed with the vertical summation.
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.9P
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Public Goods.
Suppose a neighborhood in Segovia’s central business area is deciding how many fountains they want to see in the main avenue. There is a first group of 20 neighbors and each has a demand Q = 20 − P for fountains. There is a second group of 5 people, and each has a demand Q = 20 − 2P for fountains. The cost of building each fountain is 225.
How many fountains are socially optimal? Fountains are public goods.
Hint: To obtain the SMB, please first transform the demand functions into “public goods’ valuations” (“isolate P”) and then multiply them by the amount of neighbors per group. Then you can proceed with the vertical summation.
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