Why are the average total cost (ATC) and average variable cost (AVC) curves graphically represented by U-shaped curves?

As the number of workers is increased, the firm experiences gains from specialization. Output increases at a slower rate than the increase in inputs.

Total fixed costs are constant over all quantities of output. Hence, as quantity increases, average fixed cost (AFC) increases.

They first decline, reach a minimum, and then decrease.

As the number of workers is increased, the firm experiences gains from specialization. Output increases at a faster rate than the increase in inputs.

1 answer

The average total cost (ATC) and average variable cost (AVC) curves are typically represented as U-shaped curves due to the interaction of increasing and diminishing returns to scale experienced by a firm as it varies its input usage, particularly labor.

  1. Initial Decline of Costs:

    • In the beginning stages of production, as more workers are hired (and other inputs are held constant), the firm experiences gains from specialization. Workers can focus on tasks they are relatively more efficient at, thus increasing productivity. As a result, both AVC and ATC decrease because the increase in output outpaces the increase in variable costs.
  2. Diminishing Returns:

    • After reaching a certain level of input, the firm starts to encounter diminishing marginal returns. This means that adding additional workers results in smaller and smaller increases in output compared to previous hires. This causes the increase in variable costs to outpace the increase in output, resulting in an increase in both AVC and ATC.
  3. U-Shaped Curve:

    • The combination of these two effects creates the U-shape of the AVC and ATC curves. Initially, costs decline due to rising efficiency and specialization. After reaching a minimum point, costs begin to rise due to the inefficiencies that arise from overcrowding and limited resources.
  4. Fixed Costs:

    • It’s also important to note that total fixed costs do not change as output increases, leading to the average fixed cost (AFC) declining as output increases. The decline of AFC contributes to the overall decrease in ATC initially, but as variable costs rise, the overall ATC eventually increases again, maintaining the U-shape.

In summary, the U-shape of the AVC and ATC curves reflects the initial efficiencies from specialization, followed by the challenges of diminishing returns as additional inputs are added, leading to rising costs per unit of output.