Question

How do you maximize Q=x^2y, where x and y are positive and x+y=60?

Answer 1

start by noting that if \(x+y=60\) then \(y=60-x\) and maximize \(x^2(60-x)\) on \((0,\infty)\)

Answer 2

go to \(f(x)=60x^2-x^3\)
take the derivative, set it equal to zero to find the critical points
etc

Answer 3

yeah i made a mistake...

Answer 4

maximize on \((0,60)\)

Answer 5

For a nice few minutes there, I read it as
\[\huge x^{2y}\]
>.<

Answer 6

have fun with that one!!