Solved: How should output be distributed in order to minimize cost, Engineering Mathematics

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How should output be distributed in order to minimize cost

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Q: To ll an order for 150 units of its product, a rm wishes to distribute production between its two plants, plant 1 and plant 2. The total cost function is given by c = f(q1; q2) = 0:1q 2 1 + 7q1 + 15q2 + 5000, where q1 and q2 are the numbers of units produced at plants 1 and 2, respectively. How should the output be distributed in order to minimize costs?

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Engineering Mathematics: How should output be distributed in order to minimize cost

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