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I'm in a bit of a hurry, so this isn't going to be very pretty.

Maximize:

Subject to:

How do I find the Lagrange multiplier if the gradient of the condition-function is 0? I have to find the optimal conditions using Lagrange's method. I have already found the optimal conditions using the method involving elimination of variables, which gave me

EDIT: Nevermind. I figured out my stupid mistake.

## Homework Statement

Maximize:

*V(l,d) = pi * (0.5*d)^2 * l*Subject to:

*l + 3.5d = 84*->*C(l, d) = l + 3.5d - 84*## Homework Equations

*∇V(l,d) = λ ∇C(l,d)*## The Attempt at a Solution

*∇V(l,d) = 0.5*pi*d**∇C(l,d) = 0*How do I find the Lagrange multiplier if the gradient of the condition-function is 0? I have to find the optimal conditions using Lagrange's method. I have already found the optimal conditions using the method involving elimination of variables, which gave me

*l = 28*and*d = 26*. Now I have to get the same results using this method.EDIT: Nevermind. I figured out my stupid mistake.

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