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a) Generate the reaction functions for Cournot duopolists

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a) Generate the reaction functions for Cournot duopolists. Both firms face the demand p(Y)=90-2Y where Y is the sum of firm outputs. Each have the same cost function c(y)=4y where y is the individual firm's output.

b) Solve the reaction functions simultaneously to find the Cournot equilibrium. What is the equilibrium price and quantity?

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