1. The problem statement, all variables and given/known data So I've worked this problem for awhile. Its a several page of math problem with optimization, legrangians, cramers rule, etc to get to this point. All I need to do now is by hand solve this equation for x and y with the constraint. 2. Relevant equations -0.03x^2 + 40x - 0.02y^2 + 5y+ 55000 = 0 Subject to the constraint: x+y=3000 3. The attempt at a solution I could put up the pages of work I've done to get to this point, but it really doesn't have any relevant info to help get to this point. I have the answers which is x=1100 & y=1900. Just don't know how to do this last step I've got to. Thanks so much for the help!