Three firms sell identical products in a market with inverse demand given by P(Q) = 540 - 4Q, where Q-q1+q2+ q3, i.e., the sum of all quantities produced by all three firms. Each firm has a constant marginal cost of production MC 23 and no fixed cost. Firm 1 chooses q1 first. Firms 2 and 3 simultaneously choose q2 and q3 after observing q1. = Calculate the subgame perfect equilibrium profit of firm 1. Round your answer to 2 decimal places.

ENGR.ECONOMIC ANALYSIS
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Three firms sell identical products in a market with inverse demand given by P(Q) = 540 - 4Q,
where Q=q1+ q2 + q3, i.e., the sum of all quantities produced by all three firms. Each firm
has a constant marginal cost of production MC = 23 and no fixed cost. Firm 1 chooses q1 first.
Firms 2 and 3 simultaneously choose q2 and q3 after observing q1.
Calculate the subgame perfect equilibrium profit of firm 1. Round your answer to 2 decimal
places.
Transcribed Image Text:Three firms sell identical products in a market with inverse demand given by P(Q) = 540 - 4Q, where Q=q1+ q2 + q3, i.e., the sum of all quantities produced by all three firms. Each firm has a constant marginal cost of production MC = 23 and no fixed cost. Firm 1 chooses q1 first. Firms 2 and 3 simultaneously choose q2 and q3 after observing q1. Calculate the subgame perfect equilibrium profit of firm 1. Round your answer to 2 decimal places.
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