You are the manager of a monopoly that faces a demand curve described by p = 230 - 20q. your costs are c = 5 30q. the profit-maximizing output for your firm is 495
MC=dTC\Dq=30
and
TR=P*Q=230Q-20Q^2
MR=dTR\dQ=230-40Q
The firm will produce at MR=MC
So,
230-40Q=30
Q=5
And P=230-20*5=130
So
profit=TR-TC
=P*Q-(5+30Q)
=130*5-5-30*5
=495
So the profit is 495
As Irving Fisher explained, a monopoly is a market without competition that creates a situation in which a particular person or firm is the sole supplier of a particular thing.
A monopoly is a situation where he is the only seller in the market. In traditional economic analysis, the monopoly case is viewed as the antithesis of perfect competition. By definition, the demand curve faced by a monopoly is the downward sloping industry demand curve.
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