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Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started looking at the cost function C (x), 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 3; items with cost C (:3), then the cost of computing h additionial items is C (a: + h). The average cost of those h items is (\"WHOC(93)) h derivative 0' (:3). Use this function in the model below for the Marginal Cost function M003). .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 4) 0, Le. the Problem Set question: The cost, in dollars, of producing .13 units of a certain item is given by C (m) = 0.01:?) , 1056 + 450. (a) Find the marginal cost function. ab g a lal saw) 111! 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 $