Question: Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme

Each of these extreme value problems 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.

+ Xn f(x1, x2, ..., Xn) = x1 + x2 + + x = 1 xỉ + x + ... + xỉ = 1

+ Xn f(x1, x2, ..., Xn) = x1 + x2 + + x = 1 x + x + ... + x = 1

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