A firm’s revenue after selling q items is given by R(q) = 2q3 +36q while the firm’s costs after making q items is C(q) = 3q^2 −10. (a) If the firm can make a maximum of 4 units, how many units should the firm make to maximize profit. What is the profit at this point? (b) If the firm can make a maximum of 10 units, how many units should the firm make to maximize profit?

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