At the positive level of output, where a firm's profit is maximized, the following conditions must hold.
(A)
(B) LRMC is non-decreasing at
(C)
(D) min. LRAC
Choose the correct answer from the options given below:
At the positive level of output, where a firm's profit is maximized, the following conditions must hold.
(A)
(B) LRMC is non-decreasing at
(C)
(D) min. LRAC
Choose the correct answer from the options given below:
Solution
Option 1 -> At profit maximization, p = LRMC (first-order condition), LRMC is non-decreasing (second-order condition), and p ≥ min. LRAC (firm stays in business). Condition (C) is incorrect as p ≤ LRAC would mean zero or negative profit.
Option 2 -> Incorrect because it includes (C) which suggests p ≤ LRAC, implying the firm makes no profit or losses, which is not required for profit maximization.
Option 3 -> Incorrect because it includes (C). Condition (C) stating p ≤ LRAC contradicts profit maximization where firms can earn positive economic profits (p > LRAC).
Option 4 -> Incorrect because it excludes (A) which is the fundamental first-order condition p = LRMC, essential for profit maximization.
Hence, Option 1: (A), (B) and (D) only -> For profit maximization: (A) p = LRMC ensures the firm produces at optimal output where marginal revenue equals marginal cost; (B) LRMC non-decreasing ensures second-order condition for maximum (not minimum) profit; (D) p ≥ min. LRAC ensures the firm covers its long-run costs and stays in business. Condition (C) is false because p ≤ LRAC would mean zero or negative economic profit, which is not a requirement for profit maximization. -> correct
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