SOLUTION: the sum of two numbers is 16. what should the two numbers be so that their product is a maximum? (let the product be y since that is what you want to maximize)

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Question 954050: the sum of two numbers is 16. what should the two numbers be so that their product is a maximum? (let the product be y since that is what you want to maximize)
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Different choice in variables,
system%28x%2By=16%2Cp=xy%29 using p as a function of either x or y.

p=x%2816-x%29
Maximum should occur in the middle of the roots of p.
x%2816-x%29=0
Roots are 0 and 16.
The vertex, for the exact middle of 0 and 16, will be at x=8.
This means x%2By=16
y=16-x
y=16-8
y=8

The two number, both 8.