For the cost function C(Q)= 100 + 4Q + 19Q² + 2Q³,what is the marginal cost of producing the fourth unit of output? A) $42 B) $295 C) $252 D) $116

Question

Quizplus · Accepted Answer

To find the marginal cost, we take the derivative of the cost function with respect to Q as follows: MC(Q) = dC(Q)/dQ MC(Q) = 4 + 19² + 2³ To find the marginal cost of producing the fourth unit of output, we need to substitute Q=4: MC(4) = 4 + 19² + 2³ MC(4) = 4 + 19(1) + 2(1) MC(4) = 4 + 19 + 2 MC(4) = $25 Therefore, the cost of producing the fourth unit of output is $252. Thus, the best choice is answer choice C).

For the Cost Function C(Q)= 100 + 4Q + 19Q2

For the Cost Function C(Q)= 100 + 4Q + 19Q²