Business I / Lagrange Multipliers
Practice question · Estimate

A factory has λ=8\lambda = 8 for its capacity constraint. Management can add 10 units of capacity. Estimate the output gain.

Estimate on a scale from 0 to 200.

Hints
  1. λ×Δc\lambda \times \Delta c.
  2. 8×108 \times 10.
Show the answer

80 (answers within ±5 count)

Why

8×10=808 \times 10 = 80 units of output. The shadow price converts constraint relaxation directly into objective improvement.

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