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Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started looking at the cost function C (m), the cost of a firm producing w items. An important microeconomics concept is the marginal cost, defined in (non-mathematical introductory) economics as the cost of producing one additional item. If the current production level is :1; items with cost C (m), then the cost of computing h additionial items is C (m l h). The average cost of those h items is (C(I+h)-C(z)) h derivative C I (:3). Use this function in the model below for the Marginal Cost function MC (2:). . 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, Le. the Problem Set question: The cost, in dollars, of producing :1: units of a certain item is given by 0 (z) = 0.02:1:3 10:1: + 400. (a) Find the marginal cost function. (h) Find the marginal cost when 40 units of the item are produced. The marginal cost when 40 units are produced is $ . (c) Find the actual cost of increasing production from 40 units to 41 units. The actual cost of increasing production from 40 units to 41 units is $