MC and AVC Minimum Output Relationship

Marginal Cost (MC) represents the cost increase from producing one more unit, while Average Variable Cost (AVC) is the total variable cost per unit. Understanding their relationship helps analyze firm behavior.

Intersection Point of Cost Curves

A key principle is that the MC curve intersects the AVC curve precisely at the minimum point of the AVC curve.

Analysis of Curve Minima

Both MC and AVC curves typically exhibit a U-shape due to economies and diseconomies of scale and diminishing marginal returns.

• The MC curve typically falls initially, reaches its minimum value, and then rises.
• The AVC curve also falls initially, reaches its minimum value, and then rises.
• In standard economic models, the minimum point of the MC curve occurs at a lower output level than the minimum point of the AVC curve.

Because MC is below AVC when AVC is falling, and above AVC when AVC is rising, the MC curve must bottom out before the AVC curve does. This implies that the output level where AVC reaches its minimum is greater than the output level where MC reaches its minimum.

Therefore, the minimum of AVC occurs at a larger output than the minimum of MC.