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Mutual Relationship Between Short-Run and Long-Run Cost Curves
1. Envelope Relationship
o LRAC is the envelope of all SRACs.
o At low output, a small plant (SRAC1) is cheapest.
o At medium output, a medium plant (SRAC2) is cheapest.
o At high output, a large plant (SRAC3) is cheapest.
2. Flexibility
o In the short run, the firm is “stuck” with a given plant size, so costs may be
higher.
o In the long run, the firm can adjust plant size, so costs are minimized.
3. Shape Difference
o SRAC curves are more sharply U-shaped due to the law of variable
proportions.
o LRAC is flatter because it reflects economies and diseconomies of scale.
4. Marginal Cost Relationship
o In both short and long run, MC curves intersect AC curves at their minimum
points.
o This shows the universal principle: when marginal is below average, it pulls
average down; when above, it pushes average up.
Story-Like Example
Think again of your bakery:
• In the short run, you have one oven. If demand rises, you can hire more helpers and
buy more flour, but after a point, the oven becomes overcrowded, and costs rise
steeply. That’s your SRAC.
• In the long run, you can buy a second oven or move to a bigger shop. Now you can
produce more at lower average cost. That’s your LRAC.
• If demand keeps rising, you may open a factory with ten ovens. But managing so
many workers may create inefficiencies, raising costs again. That’s the upward slope
of LRAC.
Conclusion
The traditional theory of costs gives us a clear picture of how firms behave in the short run
and long run.
• In the short run, costs are shaped by fixed commitments and the law of variable
proportions, giving us TFC, TVC, TC, AFC, AVC, AC, and MC curves.
• In the long run, all inputs are variable, and costs are shaped by economies and
diseconomies of scale, giving us LRAC and LRMC.
• The mutual relationship is that LRAC is the envelope of SRACs, showing the least
cost for each level of output.