Question 255 of 318

In the context of production, which of the following best describes the relationship between marginal cost and marginal revenue for a firm maximizing its profit?

  • Marginal cost must be greater than marginal revenue.
  • Marginal cost must be less than marginal revenue.
  • Marginal cost must equal marginal revenue.
  • Marginal cost and marginal revenue are unrelated.

Correct Answer: C

Explanation
Correct Option: C. Marginal cost must equal marginal revenue. Detailed Explanation:
  1. Understanding Marginal Cost (MC) and Marginal Revenue (MR):
  2. Marginal Cost (MC) is the additional cost incurred by producing one more unit of a good or service. It reflects the change in total cost when output is increased by one unit.
  3. Marginal Revenue (MR) is the additional revenue generated from selling one more unit of a good or service. It reflects the change in total revenue when output is increased by one unit.
  4. Profit Maximization Condition:
  5. A firm maximizes its profit when it produces the quantity of output where Marginal Cost (MC) equals Marginal Revenue (MR). This is because:
    • If MC < MR: The firm can increase its profit by producing more units. Each additional unit produced adds more to revenue than it does to costs, leading to higher overall profit.
    • If MC > MR: The firm should reduce its output. Producing additional units would cost more than the revenue generated from selling them, which would decrease overall profit.
  6. Graphical Representation:
  7. Imagine a graph where the x-axis represents the quantity of output and the y-axis represents both cost and revenue.
  8. The MC curve typically slopes upwards due to the law of diminishing returns, while the MR curve can be horizontal (for perfectly competitive firms) or downward sloping (for monopolistic firms).
  9. The point where the MC curve intersects the MR curve is the profit-maximizing output level. At this point, the firm is neither incentivized to increase nor decrease production, as profits are maximized.
  10. Why Other Options Are Incorrect:
  11. Option A: Marginal cost must be greater than marginal revenue.
    • If this were true, the firm would be losing profit by producing additional units, as the cost of producing one more unit exceeds the revenue gained from selling it. This situation would not lead to profit maximization.
  12. Option B: Marginal cost must be less than marginal revenue.
    • While this condition is true for increasing production, it does not describe the profit-maximizing condition. If a firm continues to produce when MC is less than MR, it will not have reached the optimal output level.
  13. Option D: Marginal cost and marginal revenue are unrelated.
    • This statement is fundamentally incorrect in the context of profit maximization. MC and MR are directly related in determining the optimal output level for a firm. Ignoring their relationship would lead to poor decision-making regarding production levels.
  14. Common Pitfalls:
  15. Students often confuse the conditions for profit maximization with those for increasing or decreasing production. Remember, the profit-maximizing condition is specifically when MC equals MR.
  16. It’s also important to note that this condition applies in the short run. In the long run, firms may adjust their production capacity based on market conditions, but the principle remains the same.
Revision Summary:
  • Profit Maximization occurs when Marginal Cost (MC) equals Marginal Revenue (MR).
  • If MC < MR, the firm should increase production; if MC > MR, the firm should decrease production.
  • The intersection of MC and MR curves on a graph indicates the optimal output level for maximizing profit.
  • Understanding the relationship between MC and MR is crucial for making informed production decisions.
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