Everything is right except a) Find the Marginal cost function

20 Southern New Hampshire University - estion 6: (6 points) ntroduction to Calculus in Economics (continued): In the previous Problem Set question, we started looking at the cost function C (), the cost of a firm producing a items. An important additional item. microeconomics concept is the marginal cost, defined in (non-mathematical introductory) economics as the cost of producing one If the current production level is a items with cost C ( ) , then the cost of computing h additionial items is C (x + h). The average cost of those h items is - (C(ath)-C(x)) h . As we analyze the cost of just the last item produced, this can be made into a mathematical model by taking the limit as h - 0, i.e. the derivative C () . Use this function in the model below for the Marginal Cost function MC (I). Problem Set question: The cost, in dollars, of producing a units of a certain item is given by C(x) = 0.02x3 - 15x + 400. (a) Find the marginal cost function. MC (2) = (b) Find the marginal cost when 30 units of the item are produced. The marginal cost when 30 units are produced is $ 39 (c) Find the actual cost of increasing production from 30 units to 31 units. The actual cost of increasing production from 30 units to 31 units is $ 40. 82