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A monopolist faces a demand curve given by P = 70 – 2Q

A monopolist faces a demand curve given by

P = 70 – 2Q

where P is the price of the good and Q is the quantity demanded.

The marginal cost of production is constant and is equal to $6. There are no fixed costs of production.

What quantity should the monopolist produce in order to maximize profit?

What price should the monopolist charge in order to maximize profit?

How much profit will the monopolist make?

What is the deadweight loss created by this monopoly?

Monopoly deadweight loss =

If the market were perfectly competitive, what quantity would be produced?

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