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5. A firm is running with the following cost function on the interval of 0

style="color:rgb(34,34,34);">≤  Q ≤ 10:

C(Q)=Q3 - 3Q2 - 9Q + 36

Find the quantity that minimizes the firm's cost and find the minimum cost.

6. A monopolist faces the following demand function Q = 144 - P: This firm can produce quantity Q of product at total cost of

C(Q) = 1/3Q3 - 6Q2 +160Q+15

Find the max profit for 0  Q. (Hint: revenue = PQ and profit = revenue - cost)

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