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find two nonnegative numbers whose product is 50 and whose sum is a minimum?
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integers?
25 *2
let the two numbers be x and 50/x
then form y=x+50/x
Now differentiate dy/dx=1-50/x^2
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ima gonna guess maybe its sqrt(50) amd sqrt(50) :)
Equate it with zero which will give you x^2=50
somewhere in me head I recall that a square has the greatest area and the smallest perimeter values
so x=sqrt 50 and the another number is sqrt 50 as well
Yeap amistre
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