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Learn about monopoly market structure, elasticity of demand, price-setting, and revenue changes in a monopoly scenario. Discover how changing prices impact revenue and consumer demand.
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Market Structure Monopoly
Monopoly $ MC P* D MR Q Q*
Elasticity of Demand and Output h=(∆Q/Q)/(∆P/P)=(∆Q/∆P)*(P/Q) ∆P=(Px∆Q)/(Qxh) How much you have to change the price to sell exactly one additional unit (∆Q=1)? |∆P|=P/(Qx|h|) What is the change in revenue if you sell an additional unit? MR=P- |∆P|xQ MR=P- (P/(Qx|h|))xQ=P(1-1/|h|) MR=P(1-1/|h|) The monopoly always operate on the elastic part (|h|>1) of the demand curve (otherwise the MR is negative)
Example Suppose that if the price is $10 the quantity of cars demanded is 10. If the price is $9 the quantity of cars demanded is 11. Total revenues change when reducing the price from $10 to $9 because: • you make ($9) for selling an additional car. • You now sell for $9 each of the 10 cars you were selling for $10. You make -$10. Therefore the marginal revenue in this example is -1 ($9-$10).
Elasticity of Demand and Output If the monopoly increases the price, revenues must fall. Suppose you find that the increase in price of gas led to an increase in revenues. This would be evidence that the gas market is not a monopoly. A monopoly does not have to wait for a disaster that increases costs to increase prices.
Monopoly and Welfare $ MC A B Pm C E D Pc G H F D MR Q Qm Qc
Monopoly and Price Ceiling $ A price ceiling eliminates the deadweight loss MC P* Pc D MR Q Qm Qc