Determine the fee which should be charged to maximize daily beach      revenues.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A community which is located in a resort area is trying to decide on the parking

fee to charge at the town-owned beach. There are other beaches in the area, and

there is competition for bathers among the different beaches. The town has

determined the following function which expresses the average number of cars

per day q as the function of parking fee p stated in cents.

q = 65000 – 13p

  1. Determine the fee which should be charged to maximize daily beach

     revenues.

  1. What is the maximum daily beach revenue expected to be.
  2. How many cars are expected on an average day?
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