Should a firm always produce at the level of output where marginal cost is lowest?

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Question: Should a firm always produce at the level of output where marginal cost is lowest?

Option a: 'No. It depends on whether making one more unit of output will increase profits.'
- This path emphasizes profit maximization: a firm should expand output if the additional unit adds more to revenue than to cost, i.e., if marginal revenue exceeds marginal cost. It highlights the core idea that the optimal output is where marginal profit is non-negative up to the point where MR = MC (or where MR > MC if still profitable to expand). The statement correctly notes that the decision hinges on the profitability of the next unit, not solely on cost minimization.

Option b: 'Yes. That is the level of output where costs are lowest.'
- This would imply that the lowest marginal cost (or the bottom of the marginal cost curve) determines optimal output. However, cost minimization does not guarantee profitability; the firm’s revenue side is crucial. Producing at the lowest MC could occur at a level with low or even negative profit if price or marginal revenue is too low. Therefore, this view ignores revenue and demand considerations.

Option c: 'No. Firms should produce where marginal cost equals average variable cost.'
- Producing where MC = AVC is generally not the profit-maximizing condition. In perfect competition, firms produce where MC = MR, and AVC only matters for shutdown decisions in the short run (P ≥ AVC to continue production). MC = AVC is a specific intersection that does not align with maximizing (or even maximizing profit condition) unless special circumstances occur, so this choice misidentifies the standard optimization rule.

Option d: 'Yes. Any other level of output will have higher marginal cost.'
- This statement claims MC is strictly increasing beyond the chosen point, implying that any deviation increases cost per unit. In reality, MC can rise, fall, or be non-monotonic depending on the production process, economies of scale, and technologies. The blanket claim that every other level has higher MC is unfounded and ignores potential regions of decreasing marginal cost or constant MC in some ranges.

Summary of reasoning across options:
- Option a correctly centers the decision on profitability of the marginal unit, acknowledging that the lowest MC condition is not by itself sufficient for optimal output; what matters is whether producing one more unit increases profit.
- Options b, c, and d all misstate the relationship between cost minimization and profit or rely on incorrect optimization rules, or make assumptions about MC behavior that do not hold in general.

Note on the broader concept:
- The profit-maximizing rule is to produce where MR = MC (when MR > MC prior to the equality and MR < MC after), with the caveat that production should continue only if the price covers average variable costs in the short run. The focus on MC alone ignores revenue considerations and market demand, which is why option a is the only option that aligns with standard economic theory about optimizing output.

THC - MCD2020 - T3 - 2025 Homework Quiz 6 - Cost of Production

Should a firm always produce at the level of output where marginal cost is lowest?

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