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What is the minimum total cost

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Reference no: EM132080278

A manufacturer has determined that, for a certain product, the average cost (in dollars per unit) is given by

c = 2 / 3 * q^2 - 42q + 228 + 210 / q

where 3 (less than or equal to) q

a.) At what level within the interval [3, 12] should production be fixed in order to minimize total cost? What is the minimum total cost?

b.) If production were required to lie within the interval [7,12] what value of q would minimize total cost?

Reference no: EM132080278

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