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What is the level of output that will maximize monopolist's profit?


A monopolist faces the inverse demand function described by p = 100=2q, where q is output. The monopolist has no fixed cost and his marginal cost is $20 at all levels of output. What is the level of output that will maximize monopolist's profit?

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Answer #1

Ans) In monopoly there is single seller selling unique product. A profit maximising firm produces the quantity where MR = MC.

In monopoly, marginal revenue curve lies beneath the demand curve and has slope twice that of demand curve.

So, MR = 100 - 2(2q) = 100 - 4q

Equating MR and MC to get profit maximising quantity.

100 - 4q = 20

100 - 20 = 4q

4q = 80

q = 80÷4

q = 20 units.

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