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Show that after a shift in the demand curve, a monopoly's...

Key Concepts

Monopoly Profit Maximization

A monopolist determines its profit-maximizing output by equating marginal revenue (MR) with marginal cost (MC). This condition is central to understanding how changes in market conditions, such as shifts in demand, affect output and price decisions. Even when the demand curve shifts, if the MR=MC condition still points to the same optimal price, the firm might only adjust quantity to maximize profit.

Demand Curve Dynamics

The demand curve reflects the relationship between the price of a good and the quantity demanded. When the entire demand curve shifts, it signifies changes in consumers' willingness to purchase at all price levels. Such a shift can lead to an increase in quantity sold without necessarily altering the price, depending on the underlying elasticity of demand and the monopolist's cost structure.

Marginal Revenue Behavior

Marginal revenue, derived from the monopolist's demand curve, shows how additional revenue changes with extra units sold. A shift in demand changes the MR curve, and if the new MR still intersects the MC curve at the same price but a higher output level, the monopolist will expand production while keeping the price constant.

Price Elasticity of Demand

Price elasticity of demand measures the percentage change in quantity demanded in response to a percentage change in price. For a monopoly, if the elasticity directly affects the slope of the demand and MR curves, then a demand shift that does not alter elasticity at the optimum can result in increased output while the price remains the same. This is because the marginal revenue remains consistent with the elastic response at that price level.

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