I am asked to solve the following maximization problem in two variables for my microeconomics class.I know that i must use the KKT conditions but i have a hard time trying to find a solution.Can anyone help me?
objective function: $f(x; y) = x - \frac{1}{y}$
variables: $x; y$
constraints: $px + wy \leq m$, $ x \geq 0$, $ y \geq 0$
parameters: $p,w,m$
conditions on parameters:all parameters are strictly positive