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Using calculus derive the reaction functions of both honda

Bertrand Monopolistic Competition: The Honda CRV and the Subaru Forester are strong competitors in the market for small SUVs. The demand for the Honda is equal to q_H = 80 - 2P_H + 0.5P_S. The demand for the Subaru is q_S = 100 - 2P_S + 0.5P_H. ATC = MC = 10. Using calculus, derive the reaction functions of both Honda and Subaru and find the Bertrand equilibrium prices for Honda CRVs and Subaru Foresters. (Prices are in thousand$)

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