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[See Solution] A tire manufacturer has found that the cost of making x tires is given by the function C (x) = 240 + 64 x - 0.02 x 2 dollars and the revenue

Question: A tire manufacturer has found that the cost of making x tires is given by the function C ( x ) = 240 + 64 x – 0.02 x 2 dollars and the revenue received from the sale of x tires R ( x ) = 90 x – 0.03 x 2 dollars.

  1. Profit = Revenue – Cost. Find the profit function P ( x ).
  2. Find the rate of change of the profit function with respect to the number of tires produced. This is also called the marginal profit.

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