In the short run: the firm is limited by its current plant size, so costs may be higher than the most efficient level.
In the long run: the firm can adjust its plant size, achieving the most efficient level of production for each output.
Think of the LAC as a “best-case scenario” for minimizing costs across all possible short-run plant sizes.
The LAC curve will always touch the lowest points of the SATC curves, which represent the best possible cost for each output level.
In the short run, the firm’s plant size or scale is fixed, which means they face constraints on how much they can adjust inputs like machinery or labor.
As a result, SATC is the cost curve for a given plant size.
In the long run, the firm can adjust all factors of production, including plant size.
LAC is derived by selecting the lowest possible SATC for each level of output.
The LAC curve is smoother and shows the least-cost way to produce any given output in the long run, where all factors of production can be varied.