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Four firms compete a la Cournot in a market where inverse demand is given by P...

Four firms compete a la Cournot in a market where inverse demand is given by P = 90 − 2Q. Suppose 3 high-cost firms have constant marginal cost of 20, while one low-cost firm has marginal cost of 10. Find the Nash equilibrium output for each firm where the high-cost firms each produce the same level of output.

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