In the short run, a firm continues operating even at a loss if it covers its variable costs (P ≥ AVC), because fixed costs are sunk. The firm shuts down when price falls below average variable cost (P < AVC), because continuing would increase losses. The breakeven point occurs where P = ATC, and the shutdown point occurs where P = AVC. This distinction between sunk fixed costs and variable costs is critical for understanding firm behavior during downturns.
You already know from profit maximization that a firm produces where MR = MC. But that rule tells you *how much* to produce — not *whether* to produce at all. The shutdown decision is a separate, prior question, and its logic hinges on a concept you may not have fully internalized: sunk costs are irrelevant to forward-looking decisions.
Consider the thought experiment. A firm has already signed a lease and paid rent (fixed costs). The rent is owed regardless of whether any output is produced. The only relevant question is: does operating *improve* the firm's situation compared to shutting down? Operating generates revenue P×Q and requires variable costs VC (labor, materials, energy). If revenue exceeds variable costs — equivalently, if price exceeds average variable cost (P > AVC) — then operations generate a surplus that partially offsets the sunk fixed costs. The loss is smaller than it would be if the firm shut down entirely and absorbed only the fixed costs. So the firm should continue operating even at a loss, as long as it covers its variable costs.
The threshold is precise. The shutdown point occurs at P = AVC_min, the minimum of the average variable cost curve. Above this price, operating reduces losses (or generates profit). Below it, revenue doesn't even cover variable costs — every unit produced makes the situation worse. The firm is better off producing zero output and losing only the fixed costs. The breakeven point sits higher, at P = ATC_min. Between these two prices lies the operating-at-a-loss zone: the firm produces, earns revenue, covers all variable costs and some fixed costs, but still posts a loss. This is rational behavior, not mismanagement.
This logic is entirely short-run. In the long run, all costs become variable: leases expire, capital depreciates and can be redeployed, management can be restructured. The long-run exit condition is simply P < ATC — if price persistently falls below average total cost, the firm cannot recover its full cost of capital and exits the industry. The short-run / long-run distinction explains why firms sometimes operate at a loss for extended periods: they are covering variable costs, waiting for either market conditions to improve or their fixed-cost commitments to expire before making the irreversible exit decision.