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Marginal cost

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In the study of economics, marginal cost is a vital concept used to understand production. It is defined as the change in total cost that occurs when the quantity of output is increased. Essentially, it measures the cost of producing one additional unit. This value is expressed in dollars per unit. In mathematical terms, marginal cost is the slope of the total cost curve. It represents the rate at which total cost increases as output grows.

Average cost, total cost and marginal cost
Average cost, total cost and marginal cost

To understand marginal cost, one must distinguish it from average cost. Average cost is calculated by dividing the total cost by the number of units produced. While average cost looks at the entire group of items, marginal cost focuses only on the next unit. Another important distinction involves fixed and variable costs. Fixed costs, such as factory rent or machinery, do not change regardless of how many items are made. Variable costs, such as labor and raw materials, change as production levels shift. Because fixed costs remain constant, they do not affect the marginal cost.

Average cost, total cost and marginal cost
Average cost, total cost and marginal cost

Economists analyze marginal cost in two different timeframes: the short run and the long run. In the short run, certain inputs are fixed. For example, a company cannot instantly build a new factory to meet sudden demand. During this period, marginal cost often follows a U-shaped curve. It may initially decline as the firm becomes more efficient. However, it eventually rises due to the law of diminishing marginal returns. This happens when adding more variable inputs, like workers, puts too much pressure on fixed assets like machinery or building space.

Short run marginal cost
Short run marginal cost

The long run is defined as a period where no inputs are fixed. In this stage, a firm can change everything, including the size of its buildings and its technology. Because all costs can be adjusted, the long-run marginal cost behaves differently. It can remain constant, or it may change based on returns to scale. Increasing returns to scale occur when productivity improves as the firm grows. Conversely, decreasing returns to scale can cause costs to rise again.

Long run marginal cost
Long run marginal cost

Mathematical models help explain these relationships with precision. If a cost function is continuous and differentiable, the marginal cost is the first derivative of that function. For discrete calculations, marginal cost is simply the change in total cost divided by the change in quantity. There is also an inverse relationship between marginal cost and the marginal product of labor. The marginal product of labor is the increase in output from one additional unit of labor. If productivity per worker drops, the marginal cost of production will rise.

Profit maximizing graph
Profit maximizing graph

Historical studies and real-world data provide interesting insights into these theories. A classic reference on cost curves was published by Jakob Viner in 1932. While many traditional economic models assume that marginal costs always rise, recent surveys suggest otherwise. Former Federal Reserve Vice-Chair Alan Blinder surveyed 200 executives from large corporations. He found that only 11% of respondents said their marginal costs increased with production. Instead, 48% reported constant costs, and 41% reported decreasing costs.

Profit maximizing graph
Profit maximizing graph

Understanding marginal cost is also essential for determining market behavior. In a perfectly competitive market, firms use marginal cost to decide how much to supply. A firm will produce an additional unit only if the sale price is higher than the marginal cost. If the marginal cost exceeds the price, the firm will not produce that unit. The portion of the marginal cost curve above the average variable cost curve serves as the firm's supply curve.

Avc atc mc
Avc atc mc

Finally, marginal cost relates to the broader concept of economies of scale. Economies of scale exist in the long run when an additional unit can be produced for less than the previous average. In these cases, the long-run marginal cost stays below the long-run average cost. This can lead to situations where prices set at marginal cost do not cover total costs, sometimes requiring a subsidy. These complex relationships between costs, scale, and production help shape how entire industries function in the global economy.

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File:Short run marginal cost.png
Short run marginal cost.png
File:Long run marginal cost.png
Long run marginal cost.png
File:NegativeExt.svg
NegativeExt.svg
File:PositiveExt.svg
PositiveExt.svg
File:Avc atc mc.png
Avc atc mc.png
File:Average cost, total cost and marginal cost.png
Average cost, total cost and marginal cost.png
File:Profit maximizing graph.png
Profit maximizing graph.png
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