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The total cost (in dollars) of producing x food processors is C(x) = 2500 + 80x - 0.1x2. (A) Find the exact cost of producing
The total cost (in dollars) of producing x food processors is C(x) = 2500 + 80x - 0.1x2. (A) Find the exact cost of producing the 41st food processor. (B) Use the marginal cost to approximate the cost of producing the 41st food processor. (A) The exact cost of producing the 41st food processor is $The profit (in dollars) from the sale of x lawn mowers is P(x) = 20x - 0.02x2- 450. (A) Find the average profit per mower if 40 mowers are produced. (B) Find the marginal average profit at a production level of 40 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average profit per mower if 41 mowers are produced. (A) If 40 mowers are produced, the average profit per mower is $ (Round to the nearest cent as needed.)
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