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.A firm in a competitive industry has a Total Cost curve given by TC = 30 + 0.2 Q 2 - 5Q .The corresponding Marginal

.A firm in a competitive industry has a Total Cost curve given by

TC = 30 + 0.2 Q² - 5Q .The corresponding Marginal cost MC = 0.4Q -5

If the price of the product is $6, what quantity of output should the firm sell?How much profit does it make?Should the firm shut down?Show your work.

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