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Introduction to Calculus in Economics {continued}: In the previous Problem Set question, we started looking at the costtunction C(z), the cost ofa flrrn producing ::

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Introduction to Calculus in Economics {continued}: In the previous Problem Set question, we started looking at the costtunction C(z), the cost ofa flrrn producing :: items. An important microeconomics concept is the marginal cosL dened in (nonmathematical introductory] economics as the cost of producing one additional item. ltthe current production level is 3 items with costC' [1:], then the cost of computing .5 additionial items is G {a + h]. The average cost ofthose h items is (Gemcon h derivative C" {I}. Use this tunction in the model helov.r forthe Marginal Cost function 510(2). .As we analyze the cost otjust the last item produoed, this can he made into a mathematical model by taking the limit as h } CI. i.e. the Problem Set question: The cost, in dollars, of producing as units ofa certain item is given by 0(3) = 0.04:3 5: + 300. to] Find the marginal cost function. MC(:} = @E {In Find the marginal costuvhen El] units of the item are produced. The marginal cost when 60 units are produced is $ Number to] Find the actual cost of increasing production from EU units to 61 units. The actual cost of increasing production from 60 units to 61 units is S Number

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