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Profit Maximization (With a Downward-Sloping Demand Curve) Suppose the equation of the demand curve for a firm’s product is P = 300 – 3Q , where P is the price of the product and Q is the quantity of output produced. The total cost of production is TC = 2Q3 – 24Q2 + 300Q + 250. Showing work clearly, answer the following questions. a. What is the total revenue function? b. What is the profit function? c. Use the first derivative to determine the profit-maximizing output level. d. Use the second derivative to verify that you have a maximum. e. At the profit-maximizing output level, what is total revenue? f. At the profit-maximizing output level, what is total cost? g. What is the maximum profit?