Yearly demand for water by residents and businesses in the city of Black Bear Lake is equal to Qo 2000 - 10P where Qo is millions of gallons of water, and P is price. Assume that, due to a drought, the state limits the city to no more than 1800 million gallons of water that it must allocate over a two-year period. The state currently does not charge Black Bear Lake for its water. If the City employs a 5 percent discount rate, how many millions of gallons of water should be allocated during the first period, if the city desires to maximize the net benefits of water consumption over these periods?

MACROECONOMICS
14th Edition
ISBN:9781337794985
Author:Baumol
Publisher:Baumol
Chapter4: Supply And Demand: An Initial Look
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Yearly demand for water by residents and businesses in the city of Black Bear Lake is
equal to
Qo 2000 - 10P
where Qo is millions of gallons of water, and P is price. Assume that, due to a drought, the
state limits the city to no more than 1800 million gallons of water that it must allocate
over a two-year period. The state currently does not charge Black Bear Lake for its water.
If the City employs a 5 percent discount rate, how many millions of gallons of water should
be allocated during the first period, if the city desires to maximize the net benefits of water
consumption over these periods?
Answer:
Transcribed Image Text:Yearly demand for water by residents and businesses in the city of Black Bear Lake is equal to Qo 2000 - 10P where Qo is millions of gallons of water, and P is price. Assume that, due to a drought, the state limits the city to no more than 1800 million gallons of water that it must allocate over a two-year period. The state currently does not charge Black Bear Lake for its water. If the City employs a 5 percent discount rate, how many millions of gallons of water should be allocated during the first period, if the city desires to maximize the net benefits of water consumption over these periods? Answer:
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