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)

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) (Show Source): You can put this solution on YOUR website!
Different choice in variables,
using p as a function of either x or y.

Maximum should occur in the middle of the roots of p.

Roots are 0 and 16.
The vertex, for the exact middle of 0 and 16, will be at x=8.
This means

The two number, both 8.

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