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Suppose the market of fried chicken is dominated by two oligopolists: Macdonald and KFC. The inverse demand function is: P=8-

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Answer #1

In Cournout competiton, two players compete with each other on the amount of output they produce at the same time.

We know, Q=Qm+Qk

So, P=8-Qm-Qk

Profit of McDonald is (8-Qm-Qk)*Qm-Qm^2

By deriving and equalizing to 0, we get 8-2Qm-Qk-2Qm=0 So, Qk+4Qm=8

Profit of KFC is (8-Qm-Qk)*Qk-Qk^2/2

By deriving and equalizing to 0, we get 8-2Qk-Qm-Qk=0 So, 3Qk+Qm=8

3(8-4Qm)+Qm=8

16=11Qm

Qm=16/11(Ans)

Qk=8-64/11=24/11(Ans)

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