Math  /  Calculus

QuestionThe total profit (in dollars) from the sale of xx charcoal grills is P(x)=50x0.5x2245P(x)=50 x-0.5 x^{2}-245 (A) Find the average profit per grill if 40 grills are produced.
Ave. profit = \square Find the marginal average profit at a production level of 40 grills. (B) Marginal avergge profit = \square Use the results from parts (A) and (B) to estimate the average profit per grill if 41 grills are produced. (C) Estimated average profit == \square

Studdy Solution
Simplify the expression for the estimated average profit:
Estimated average profit=24.125 \text{Estimated average profit} = 24.125
The results are: (A) Average profit = 23.875 \boxed{23.875} (B) Marginal average profit = 0.25 \boxed{0.25} (C) Estimated average profit = 24.125 \boxed{24.125}

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