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Suppose the long-run total cost function for an industry is given by the cubic equation TC = a+bq+cq 2 +dq 3 . Show (using calculus)

Suppose the long-run total cost function for an industry is given by the cubic equation TC = a+bq+cq2+dq3. Show (using calculus) that this total cost function is consistent with a U-shaped average cost curve for at least some values of a, b, c and d

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