Practice question · Multiple choice
A firm ramps production from 0 to 1,000 units/day over 30 days. Adjusting quickly incurs high adjustment costs ( terms); staying below target loses revenue. What does the calculus of variations deliver here?
Hints
- The choice variable is the whole schedule .
- The functional totals cost across the horizon.
Show the answer
C. The day-by-day ramp curve minimizing total cost
Why
The answer is a curve, typically a smooth ramp balancing adjustment cost against lost revenue at every instant, the balance being exactly what Euler–Lagrange enforces pointwise.
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