X(p)=1,000,000-200,000p, where p is the price charged by the government for use of a bridge, per unit time, or the user fee. The government wants to see if the bridge is socially worthwhile. Calculate the social benefit when p=0 and when p=(5-Square root 5/2)=1.382. b. Find the price that would maximize government revenue from the bridge, pX(p). If

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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X(p)=1,000,000-200,000p, where p is the
price charged by the government for use of a
bridge, per unit time, or the user fee. The
government wants to see if the bridge is
socially worthwhile. Calculate the social
benefit when p=0 and when p=(5-Square
root 5/2)=1.382.
b. Find the price that would maximize
government revenue from the bridge, pX(p). If
the government chooses the price that
maximizes revenue, what is the net social
benefit?
c. Explain this claim: since the cost of the
bridge is fixed at $1,000,000, the net social
benefit must be maximized when p=0. Can
you find a formula for the net social benefit?
Transcribed Image Text:X(p)=1,000,000-200,000p, where p is the price charged by the government for use of a bridge, per unit time, or the user fee. The government wants to see if the bridge is socially worthwhile. Calculate the social benefit when p=0 and when p=(5-Square root 5/2)=1.382. b. Find the price that would maximize government revenue from the bridge, pX(p). If the government chooses the price that maximizes revenue, what is the net social benefit? c. Explain this claim: since the cost of the bridge is fixed at $1,000,000, the net social benefit must be maximized when p=0. Can you find a formula for the net social benefit?
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