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)