Suppose a home firm competes with a foreign firm in the domestic market. The two firms produce homogenous products and compete in quantities. The demand function faced by the firms is , where is the total quantity and is the price. Each firm has a constant marginal cost of production given by . In addition, the home country government imposes a per unit tariff of 10 on imports. The quantity produced by the home country, ; quantity produced by the foreign firm, ; and market price, ; are
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