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What is the monopolists profit-maximizing level of output

Suppose a monopolist faces the following demand curve:

P = 250 - 2Q

Marginal cost of production is constant and equal to $10, and there are no fixed costs.

What is the monopolist's profit-maximizing level of output?

What price will the profit-maximizing monopolist charge?

How much profit will the monopolist make if she maximizes her profit?

What would be the value of consumer surplus in this monopoly market?

How much consumer surplus would there be if this market was perfectly competitive?

What is the value of the deadweight loss when the market is a monopoly?

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