In the long run, all inputs are variable, so firms can choose their optimal scale of production. The long-run average cost curve (LAC) is the envelope of short-run average cost curves at different scales. Economies of scale occur when long-run average cost declines as output increases (due to specialization, bulk discounts, etc.). Diseconomies of scale occur when LAC rises with output (due to management complexity, coordination problems, etc.). The minimum point of the LAC defines the minimum efficient scale—the smallest output level at which a firm achieves lowest average cost.
Compare short-run and long-run cost curves, observing how firms can lower costs by adjusting all inputs in the long run. Examine industry structures and relate them to the shape of the LAC curve.
In the short run, at least one input is fixed—your factory size, your lease, your equipment. Your prerequisite on short-run costs shows how this creates the familiar U-shaped average cost curve: spreading fixed costs over more units initially lowers average cost, but eventually diminishing returns to the variable input drive it back up. The long run is different: it is the planning horizon over which a firm can adjust *everything*—build a bigger or smaller factory, renegotiate leases, adopt new technology. There are no fixed inputs in the long run.
Because the firm can choose any scale in the long run, the long-run average cost (LAC) curve is constructed as an envelope of short-run curves. Imagine every possible factory size, each with its own short-run average cost curve. For each output level, the firm chooses the factory size that minimizes cost for that output. Connecting those minimum-cost points traces out the LAC. The LAC lies at or below any individual short-run curve—long-run flexibility can only expand your options, never reduce them.
The shape of the LAC curve reveals the nature of scale economies. When the LAC is falling, the firm experiences economies of scale: doubling output costs less than double. This happens because of specialization (workers focus on narrower tasks), bulk purchasing discounts, spreading indivisible fixed costs like R&D over more units, and network effects. When the LAC is rising, the firm faces diseconomies of scale: the coordination and management challenges of a large organization push average costs up. Between these regions, the LAC may be flat, reflecting constant returns to scale.
The bottom of the LAC curve marks the minimum efficient scale (MES)—the smallest output level at which average costs are minimized. MES shapes industry structure: if MES is small relative to market demand, many small firms can coexist (restaurants, hair salons). If MES is large relative to market demand, only one or a few firms can operate efficiently—a natural tendency toward monopoly (water utilities, rail networks). Reading a market's industry structure often starts by asking what the LAC curve looks like and where MES falls.