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3. Suppose the demand for pizza in a small isolated town is p-10-Q. There are only two firms A and B. Each has a cost function TC 2Q. Determine the equilibrium quantities of each if firm A is the Stackelberg leader.

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Answer #1

Firm B's profit = [10 - (qA+ qB)] qB- 2 - qB

Maximize with respect to its own output to get the Best response function of Firm B:

qB= 4.5 - qA/2.

substituting into demand and maximizes its profit For Firm A

Profit = [10 - qA- (4.5 - qA/2)] qA - 2 - qA.

Maximizing with respect to qA

We get qA = 4.5

Firm B produces qB= 2.25

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