Hi my name is Tara Doucet at I am taking calculus at Nipissing University. My question is Maximize Q=xy^2 (y is to the exponent 2) where x and y are positive integers such that x + y^2 ( y is to the exponent 2)=4 Hope you get this and I hope you can help me out. Correction: What follows is the reply that I sent to Tara but it doesn't produce the required solution. Penny has the correct solution. Harley Hi Tara,The expression that you want to maximize, Q = x y^{ 2}, is a function of two variables, x and y. You must find a way to express Q as a function of one variable to apply the calculus techniques that you have learned. The necessary information to express Q as a function of one variable is the restriction that x + y^{ 2} = 4. I would rewrite this equation y^{ 2} = 4  x and substitute into Q to get Q = x(4  x). Now maximize Q. Cheers,Harley
