NotAlligator Briefcases estimates that its total cost of producing vinyl bags is TC = 65 + 9 / Q + 5Q².At 3 units of output,NotAlligator's marginal cost is: A) $113. B) $29. C) $27. D) $119. E) $9.

Question

Quizplus · Accepted Answer

The marginal cost (MC) is the derivative of the total cost (TC) function with respect to quantity (Q). The given TC function is TC = 65 + 9/Q + 5Q. To find the MC, we differentiate TC with respect to Q: MC = d(65 + 9/Q + 5Q)/dQ = -9/Q^2 + 5. At Q = 3 units, MC = -9/(3^2) + 5 = -9/9 + 5 = -1 + 5 = $4. The correct calculation for MC at Q = 3 should involve correctly differentiating the given TC function. However, the provided choices and the calculation do not match common outcomes of differentiation for the given function, suggesting a misunderstanding in the calculation or the interpretation of the given TC function.

NotAlligator Briefcases Estimates That Its Total Cost of Producing Vinyl