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Minimizing average cost the total monthly cost in dollars

Question: MINIMIZING AVERAGE COST The total monthly cost (in dollars) incurred by Carlota Music in manufacturing x units of its Professional Series guitars is given by the function

C(x) = 0.001x² + 100x + 4000

a. Find the average cost function C¯.

b. Determine the production level that will result in the smallest average production cost.

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