The question asks what is true when a monopoly is maximizing profits. The options relate price to elasticity of demand, marginal cost, and marginal revenue.

Applied MathematicsMicroeconomicsMonopolyProfit MaximizationMarginal RevenueMarginal CostElasticity of Demand
2025/7/1

1. Problem Description

The question asks what is true when a monopoly is maximizing profits. The options relate price to elasticity of demand, marginal cost, and marginal revenue.

2. Solution Steps

To maximize profits, a firm (including a monopoly) will produce where marginal revenue (MR) equals marginal cost (MC):
MR=MCMR = MC
In a perfectly competitive market, price equals marginal revenue (P=MRP=MR). However, a monopoly faces a downward-sloping demand curve, which means it must lower its price to sell more units. As a result, marginal revenue is less than price (MR<PMR<P).
Therefore, when a monopoly maximizes profits, we have MR=MCMR=MC and MR<PMR<P. Combining these, we get:
MC=MR<PMC=MR<P
This implies that P>MCP>MC.
Also, a monopolist will always operate on the elastic portion of the demand curve.

3. Final Answer

b. price will always be greater than marginal cost.

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