Optimization. Find two positive numbers whose Product is 100 and whose Sum is a Minimum.

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JaberTime

[@Eknoma]

10 and 10

[@19917119]

Yes.

[@ptarcher86]

Alternatively, you can just do the sqrt(100), as by definition, the sum is minimized by the smallest two factors (which is the sqrt).

[@19917119]

👍👍👍

[@19917119]

How about this: The product is 147 and the sum of the first number plus three times the second number is a minimum.

[@user-tg2gm1ih9g]

f(x) = x +100/x; f'(x) = 1 -100/x^2 ... which is zero when x=10 ; f"(x) = 200/x^3 ; which >0 for x>0 ... so f() has a minimum at x=10. No "sampling" of f() or f'() near 10 is necessary (or even *fun*). So unless producing a graph was part of the problem ... why bother?

[@19917119]

You are 100% right. JaberTime