Consider the following cost function. a. Find the average cost and marginal cost functions. b. Determine the average and marginal cost when x = a. c. Interpret the values obtained in part (b). C(x) = 0.02x^3 + 0.7x^2 + 20x + 100, 0 ? x ? 1500, a = 1000 a. The average cost function is ?(x) =
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The average cost function is given by the total cost function divided by the quantity produced, which is: Average Cost (AC) = C(x) / x Given the cost function C(x) = 0.02x^3 + 0.7x^2 + 20x + 100, we can find the average cost function: AC(x) = (0.02x^3 + 0.7x^2 Show more…
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Average and marginal cost Consider the following cost functions. a. Find the average cost and marginal cost functions. b. Determine the average cost and the marginal cost when $x=a$. c. Interpret the values obtained in part (b). $$C(x)=-0.01 x^{2}+40 x+100,0 \leq x \leq 1500, a=1000$$
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