This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x, y, z) = 10x + 10y + 3z; 5x2 + 5y2 + 3z2 = 43

Answer with Step-by-step explanation:

We are given that

We have to find the extreme values of the function.

Therefore,

Substitute the values in g(x)

Then, we get

When then,

When

Then,

Hence, maximum value of f(x,y,z) is 23 at (2,2,1) and minimum value of f(x,y,z) is -23 at (-2,-2 ,-1).

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step-by-step explanation:

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the correct answer is 1.7