Short-Run Supply

The current supply given a firm’s capital expenditure on fixed assets

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What is Short-Run Supply?

The short-run is the time period in which at least one input is fixed – generally property, plant, and equipment (PP&E). An increase in demand can only be met by increasing the usage of variable factors of production. Therefore, short-run supply is the supply given the firm’s investment in fixed assets.

Summary

  • Short-run supply is defined as the current supply given a firm’s capital expenditure on fixed assets – such as property, plant, and equipment.
  • The break-even price is equal to the minimum average total cost.
  • The short-run market equilibrium is the point where the quantity supplied equals the quantity demanded, where the number of producers is held fixed.

What are Short Run Costs?

At any point in time, a firm sees a short-run cost curve that corresponds to its investment in fixed assets – such as property, plant, and equipment. If the firm wishes to change its output, it will move along the curve.

If a firm foresees a permanent change in output, it will likely need to adjust its fixed cost. In order to produce efficiently, the firm should adjust its fixed costs to a level that minimizes the average total cost of production.

The Short-Run Production Decision

Since fixed costs are considered to be sunk in the short run, they are irrelevant in the short-run production decision process. It is because, in the short run, fixed cost is paid regardless of the amount produced. A firm will only shut down production if the market price is lower than the minimum average variable cost of the product.

Therefore, the shut-down price is equal to the minimum average variable cost. When the market price is less than the minimum average variable cost, the price received by the firm is less than the variable cost. Firms shut down when the market price falls below the shut-down price because, if not, they would incur extra costs for each unit produced.

Short-Run Supply - Shutdown Point

The break-even price is when the market price is equal to the minimum average total cost of production. If the market price is less than the minimum average total cost, the firm will still produce; however, it will be making an economic loss. Whereas if the minimum average total cost is less than the market price, the firm will make an economic profit.

Short-Run Supply - Break-Even Point

Short-Run Supply Curve

The short-run individual supply curve is the individual’s marginal cost at all points greater than the minimum average variable cost. It holds true because a firm will not produce if the market price is less than the shut-down price.

Ultimately, the short-run individual supply curve demonstrates how the producer’s profit-maximizing output is strictly dependent on the market price and holds the fixed cost as sunk.

Short-Run Industry Supply Curve

A short-run industry supply curve illustrates how the quantity supplied in the market is dependent on the market price, assuming that the number of producers in the market is fixed. The short-run market equilibrium is the point where the quantity supplied equals the quantity demanded, where the number of producers is held fixed. This is also known as the allocative efficient point.

  

Calculating the Short-Run Industry Supply Curve

The short-run industry supply curve is calculated by taking an individual producer’s supply curve, setting it equal to quantity, and then multiplying it by the number of producers in the market

For example, consider a producer with the following supply curve:

P = 2Q + 1

Assuming that there are 10 producers in the market and there is a market demand curve of:

P = -1Q + 10

First, set the individual producer supply curve equal to quantity supplied:

Q = (P – 1)/2 -> Q = P/2 – .5

Then, multiply the quantity supplied formula by the number of producers in the market:

Q = 5P – 5

To identify the short-run market equilibrium, substitute the market supply formula into the market demand formula to calculate the equilibrium price:

P = -1 (5P – 5) + 10

P = 2.5

Finally, add the equilibrium price into either the market demand or market supply formula to calculate the market quantity demanded:

2.5 = -1Q + 10

Q = 7.5

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