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Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started looking at the cost function 0 (m), the cost of a firm producing m 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 3 items with cost 0 (m), then the cost of computing h additionial items is C (m + h). The average cost of those h items is (0(w+h)*0(w)) h, derivative C" (2). Use this function in the model below for the Marginal Cost function MC(m). .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. e 0, Le. the Problem Set question: The cost, in dollars, of producing :1: units of a certain item is given by C (m) = 0.0133 , 10m + 450. (a) Find the marginal cost function. Incorrect Your Answer: 457 Z + 0' MC (m) = a (b) Find the marginal cost when 30 units of the item are produced. The marginal cost when 30 units are produced is $ . (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 $