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Short-run vs Long-run Cost Curves – U-Shape & Envelope Curve

In the short run, some factors are fixed. In the long run, all factors are variable. This difference gives different cost curves.


1. Short-run Cost Curves

Short-run curves include:

  • AFC – Average Fixed Cost
  • AVC – Average Variable Cost
  • AC – Average Cost
  • MC – Marginal Cost

Shape

  • AFC – downward sloping.
  • AVC – U-shaped.
  • AC – U-shaped.
  • MC – U-shaped, cuts AVC & AC at their minimum points.

2. Long-run Average Cost (LAC) Curve

Long-run Average Cost (LAC) shows the minimum average cost of producing each output level when the firm can vary all inputs, choosing the best plant size for each output.

  • Also called "planning curve" or "envelope curve".
Key Concept – LAC
LAC = lower boundary of a family of short-run AC curves, each representing a different plant size.

3. Envelope Curve Explanation

  • For each output level, firm can choose from several short-run AC (SAC) curves (small, medium, large plant).
  • LAC curve is drawn as a smooth curve tangent to all SAC curves from below.

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4. Shape of LAC Curve

  • Generally U-shaped or L-shaped.
  • Due to economies and diseconomies of scale:
    • At low output → economies dominate → LAC falls.
    • At high output → diseconomies dominate → LAC rises.

5. Short-run vs Long-run Cost Curves – Comparison

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6. Quick Revision Points

  • Short run: fixed and variable factors; several SAC curves.
  • Long run: all factors variable; LAC is envelope of SACs.
  • LAC shape explained by economies/diseconomies of scale.

7. Quiz Time 🎯

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