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A firm has two plants that produce the same stuff

Accounting

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A firm has two plants that produce the same stuff. The plants' total cost functions are C_1 = 10q - 4q^2 + q^3, and C_2 = 10q - 2q^2 + q^3

a)At what q does the average cost curve of each plant reach a minimum? Assume q can be produced in partial units, so decimal or fractional answers are ok.

b)To produce a total of 4 units of output q, how much should the firm produce at each plant, given that its goal is to minimize total costs? Assume that q cannot be produced in partial units, just whole number units.