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In economics, a cost function represents the minimum cost of producing a quantity of some good. The long-run cost curve is a cost function that models this minimum cost over time, meaning inputs are not fixed. Using the long-run cost curve, firms can scale their means of production to reduce the costs of producing the good. [1]
In the long-run, firms change production levels in response to (expected) economic profits or losses, and the land, labour, capital goods and entrepreneurship vary to reach the minimum level of long-run average cost. A generic firm can make the following changes in the long-run:
The total cost curve, if non-linear, can represent increasing and diminishing marginal returns.. The short-run total cost (SRTC) and long-run total cost (LRTC) curves are increasing in the quantity of output produced because producing more output requires more labor usage in both the short and long runs, and because in the long run producing more output involves using more of the physical ...
[25] [26] [27] In this case, with perfect competition in the output market the long-run equilibrium will involve all firms operating at the minimum point of their long-run average cost curves (i.e., at the borderline between economies and diseconomies of scale).
A long-run average cost curve is typically downward sloping at relatively low levels of output, and upward or downward sloping at relatively high levels of output. Most commonly, the long-run average cost curve is U-shaped, by definition reflecting economies of scale where negatively sloped and diseconomies of scale where positively sloped.
The marginal cost can be either short-run or long-run marginal cost, depending on what costs vary with output, since in the long run even building size is chosen to fit the desired output. If the cost function C {\displaystyle C} is continuous and differentiable , the marginal cost M C {\displaystyle MC} is the first derivative of the cost ...
Cost overruns. Including researchers’ estimates for the Paris Games, five of the past six Olympics (summer and winter) had inflation-adjusted cost overruns of well more than 100%, according to ...
The long run total cost for a given output will generally be lower than the short run total cost, because the amount of capital can be chosen to be optimal for the amount of output. Other economic models use the total variable cost curve (and therefore total cost curve) to illustrate the concepts of increasing, and later diminishing, marginal ...