An electric power plant uses solid waste for fuel in the production of electricity. The cost Y in dollars per hour to produce electricity is Y = 12 + 1.2X + 0.32X2 where X is in megawatts. Revenue in dollars per hour from the sale of electricity is 18.7X – 0.25X2. Find the value of X that gives maximum profit and the maximum profit.

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter7: Economies Of Scale And Scope
Section: Chapter Questions
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An electric power plant uses solid waste for fuel in the production of electricity. The cost Y in dollars per hour to produce electricity is Y = 12 + 1.2X + 0.32X2 where X is in megawatts. Revenue in dollars per hour from the sale of electricity is 18.7X – 0.25X2. Find the value of X that gives maximum profit and the maximum profit.
 
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