2. The total cost of producing x units of a certain commodity is given by $C(x) = 2000 + 2x - 0.0001x^2$ dollars. ($0 \le x \le 6000$) a. Find the marginal cost function? What's the marginal cost when $x = 1000$? b. Find the average cost function. c. Find the marginal average cost function.
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To find the marginal cost function, we need to take the derivative of the total cost function with respect to x. C(x) = 2000 + 2x - 0.0001x^2 Marginal Cost (MC) = dC(x)/dx MC = d/dx (2000 + 2x - 0.0001x^2) MC = 2 - 0.0002x Therefore, the marginal cost function Show more…
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