Practice question · True or false
At the constrained optimum, the level curves of the objective function are tangent to the constraint curve.
Hints
- Tangency means the two gradients are proportional.
- Any movement along the constraint from that point would do worse.
Show the answer
True
Why
Tangency means the gradients are proportional: . Any movement along the constraint away from this point would worsen the objective.
Practise Lagrange Multipliers
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