Questions: The Shutdown Condition and Operating Decisions

Question 1

A firm faces a market price of $8, has average variable cost (AVC) of $6, and average total cost (ATC) of $10. It is operating at its profit-maximizing quantity. What should the firm do?

• A. Shut down immediately — it is earning negative profits and should minimize losses
• B. Continue operating — revenue more than covers variable costs, so operations reduce the loss from fixed costs
• C. Continue operating only if it can renegotiate its fixed cost contracts
• D. Exit the industry — the long-run condition requires P ≥ ATC

Answer: (B)

P = $8 > AVC = $6, so each unit sold generates $2 more revenue than it costs in variable inputs. This surplus partially offsets the fixed costs that must be paid regardless. Total loss if operating = (ATC − P) × Q = $2 × Q. Total loss if shut down = FC. Since operating reduces the loss compared to shutting down, the firm should continue. Shutdown is only optimal when P < AVC — when revenue doesn't even cover variable costs and operating makes losses worse.

Question 2

What is the shutdown point for a perfectly competitive firm in the short run?

• A. The price at which P = ATC (breakeven point)
• B. The price at which P = MC (profit-maximizing output)
• C. The price at which P = AVC_min (minimum average variable cost)
• D. The price at which total revenue equals total fixed cost

Answer: (C)

The shutdown point is P = AVC_min. At this price, revenue exactly covers variable costs and nothing more — every unit produced contributes nothing toward fixed costs but also doesn't worsen the situation. Below this price, P < AVC: revenue doesn't cover variable costs, so each unit produced increases total losses. The breakeven point (P = ATC) is different and higher — it's where the firm earns zero economic profit. Between AVC_min and ATC_min, the firm operates at a loss but is rational to do so.

Question 3

A firm operating at a loss but with P > AVC is behaving rationally, because the alternative of shutting down would result in an even larger loss.

• T. True
• F. False

Answer: True

Fixed costs are sunk in the short run — they must be paid whether the firm produces or not. If P > AVC, each unit of output generates revenue that exceeds variable costs, and the surplus goes toward partially offsetting fixed costs. The firm loses less by operating than by shutting down (where it would absorb all fixed costs with zero revenue). Rational loss minimization, not just profit maximization, explains why firms continue operating in downturns as long as they cover variable costs.

Question 4

A firm should shut down whenever it is earning negative profits, because producing at a loss typically makes the firm's financial situation worse.

• T. True
• F. False

Answer: False

This ignores the sunk nature of fixed costs. Shutting down does not eliminate fixed costs — the firm still owes rent, loan payments, and other contractual obligations. If P ≥ AVC, operating generates enough revenue to cover all variable costs plus some contribution toward fixed costs, making losses smaller than they would be if the firm produced nothing. Only when P < AVC does operating worsen the loss compared to shutdown.

Question 5

Why are fixed costs irrelevant to the short-run shutdown decision, even though they are very much relevant to whether the firm earns a profit?

Model answer: Fixed costs are sunk — they are paid regardless of whether the firm produces any output. Because shutting down does not save fixed costs, they do not affect the comparison between operating and not operating. The only costs that change based on the production decision are variable costs. If revenue exceeds variable costs (P > AVC), operating is preferable to shutting down, even at a loss. Fixed costs matter for profitability (comparing revenue to all costs), but not for the shutdown decision (comparing revenue only to avoidable costs).

The distinction is between sunk costs (already committed, cannot be avoided) and avoidable costs (can be saved by not producing). Rational economic decisions are forward-looking: only costs that differ between alternatives are relevant. Fixed costs are identical whether the firm produces or not, so they cancel out of the shutdown comparison. This is a specific application of the broader principle that sunk costs should not influence forward-looking decisions.