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In: Advanced Math

Using only real numbers between 0 and 100, inclusive, show the set of three numbers whose...

Using only real numbers between 0 and 100, inclusive, show the set of three numbers whose product is 64 and whose sum is minimal is give by {4, 4, 4}.

(a) When is an absolute minimum or maximum guaranteed?

(b) State the steps to find an absolute minimum and maximum.

(c) Is the space closed and bounded? Explain.

(d) Use Lagrange Multipliers to find the minimum and maximum

please label and write neatly.

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