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Suppose a Firm Produces Its Output in Two Different Plants

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Suppose a firm produces its output in two different plants.Production costs at plant 1 are given by C1 = 4(Q1)2,where Q1 is the amount of production at plant 1.The production costs at plant 2 are given by C2 = 2(Q2)2,where Q2 is the amount of production at plant 2.The corresponding marginal costs at each plant are MC1 = 8Q1 and MC2 = 4Q2.If the firm produces a total of 24 units of output,how much output should it produce at each plant?

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In order to minimize costs,the marginal ...

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