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Assume that Unilever and Proctor and Gamble are the only two firms in the baby detergent market. Their unit cost of production is $5 and

Assume that Unilever and Proctor and Gamble are the only two firms in the baby detergent market. Their unit cost of production is $5 and their inverse demand market demand is given by P=10-2Q, where Q is the total production by the duopoly.

a. Solve for the Bertrand equilibrium price and market output.

b. As manager of Proctor and Gamble, you decided to invest heavily in advertising. Would your market demand go away if you start charging a price higher than $5 per unit? Explain.

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