1. The problem statement, all variables and given/known data Find two numbers whose product is a maximum if the sum of the first number and twice the second is 100 2. Relevant equations 3. 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?