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2. A firm faces the demand curve, P = 80 - 3Q, and has the cost equation: C = 200 + 20Q, where P =

2. A firm faces the demand curve, P = 80 - 3Q, and has the cost equation: C = 200 + 20Q, where P = price, C = total cost, and Q = quantity.

(a) Find the optimal quantity and price for the firm.

(b) Now suppose that the demand for the firm's product changes to: P = 110 - 3Q. Find the new optimal quantity and price. Has there been an increase or a decrease in demand? Explain.

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