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To analyze the behavior of a competitive firm using the given cost functions under the framework of Principles of Microeconomics-II, we begin by understanding the firm's profit-maximizing output, profit, and producer surplus. In a perfectly competitive market, a firm is a price taker, which implies that the market price (P) is equal to the marginal revenue (MR). Thus, to maximize profit, the firm chooses output level $q$ where marginal cost (MC) equals the market price (P): $$ P = MC(q) $$ Given: * Total Cost (TC): $TC(q) = 450 + 15q + 2q^2$ * Marginal Cost (MC): $MC(q) = 15 + 4q$ * Market Price: $P = ______ ___ __________ _________ ____ _____ _________ ___ _________ _______ ____ _____.
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