Question
Asked Oct 28, 2019
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Find positive numbers x and y satisfying the equation xy=15 such that the sum 3x+y is as small as possible.

Let S be the sum of the two numbers. What is the objective function in terms of one number, x?

S=?(type an expression)

The numbers are x=? and y=? (type exact numbers, using radicals as needed)

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Expert Answer

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Given that xy15 and the sum S = 3x + y is as small as possible 15 Now Rewrite xy = 15 as y= x 15 Hence, the objective function in terms of x will be S 3x +- x 0 that For minimum of the function S =3x+ y, the derivative of S is dx d s corresponds >0

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