Difficulty: Medium
Correct Answer: Operate where marginal revenue equals marginal cost when deciding the optimal quantity of output.
Explanation:
Introduction / Context:
Profit maximisation is a fundamental concept in microeconomics. Firms are assumed to choose their output level so as to maximise the difference between total revenue and total cost. A standard rule derived from this assumption is that the profit maximising quantity is where marginal revenue equals marginal cost, provided certain conditions are met. This question tests whether you remember that decision rule and can distinguish it from less precise statements about production.
Given Data / Assumptions:
Concept / Approach:
The firm increases output as long as the revenue from the last unit produced exceeds the cost of producing that unit. When marginal revenue is greater than marginal cost, producing more increases profit. When marginal revenue is less than marginal cost, reducing output increases profit. Exactly at the point where marginal revenue equals marginal cost, small changes in output do not raise profit, so this represents the profit maximising quantity under standard conditions. Therefore, the key decision rule is MR = MC at the optimum.
Step-by-Step Solution:
Step 1: Recall the standard profit maximisation condition MR = MC from microeconomic theory.Step 2: Examine each option and identify which one states that the firm operates where marginal revenue equals marginal cost.Step 3: Option B expresses this rule clearly, linking profit maximisation to MR = MC when deciding output.Step 4: Option A discusses using less of an input under some conditions, which may be true in specific factor markets but is not the primary rule stated in textbooks.Step 5: Option C suggests endlessly increasing production, which is not consistent with cost and demand constraints, and option D wrongly claims that all statements are always followed, so choose option B.
Verification / Alternative check:
If you draw a marginal revenue curve and a marginal cost curve on a graph, the optimal output occurs where the two curves intersect, as long as marginal cost is rising at that point. For quantities to the left, MR exceeds MC, so extra units add profit. For quantities to the right, MC exceeds MR, so extra units reduce profit. This graphical reasoning confirms that MR = MC is the core decision rule for a profit maximising firm. Option B is the only choice that captures this rule directly.
Why Other Options Are Wrong:
Option A refers to using less of an input when its marginal cost rises relative to its marginal revenue product, which relates to input demand and may be correct in some contexts but does not state the general profit maximisation rule for output. Option C says a firm will always increase production whenever it makes profit, ignoring rising marginal costs and demand limits; such behaviour would not maximise profit. Option D claims that all statements are followed in every situation, which is incorrect because statements A and C are not universal output decision rules.
Common Pitfalls:
Some students confuse total profit maximisation with revenue maximisation and focus only on increasing sales. Others think that any positive profit means the firm should expand without checking marginal conditions. A further mistake is to remember only the phrase MR = MC but not be able to interpret what it means in practice. Always connect the rule with the idea that profit increases when MR is greater than MC and decreases when MC is greater than MR, so the optimum is where the two are equal.
Final Answer:
Operate where marginal revenue equals marginal cost when deciding the optimal quantity of output.
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