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):
In a perfectly competitive market, price equals marginal revenue (). 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 ().
Therefore, when a monopoly maximizes profits, we have and . Combining these, we get:
This implies that .
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.