Find two numbers whose product is a maximum if the sum of the first number and twice the second is 100
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
then I solved for y to get
then I multiply the new y value and x to get the maximum
x(50-x/2)=0 solve to get
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?