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## Homework Statement

Find two numbers whose product is a maximum if the sum of the first number and twice the second is 100

## Homework Equations

## The Attempt at a Solution

Alright so I think I might have the right answer but something just doesn't seem right.

so first I named my two variables x,y then I set up the problem in terms of x and y

x+2y=100

then I solved for y to get

y=50-x/2

then I multiply the new y value and x to get the maximum

x(50-x/2)=0 solve to get

x=25/2

so then I plug my x value back in to get my y value and end up with

(25/2,175/4) as my maximum right?