So I have been given a utility function = $ 48 R + Ry -R^2$ where $R$ represents leisure hours and $y$ represents labour income. $y=rl$, $r$ is wage rate and $l$ is labour hours. Find hours worked increases with wage. So what I thought I can do was:
I equate MRS = Slope of Budget constraint and I got something like this $(48 + y - 2R)/ R = r $ Then I equated in $R$ and got $R=48+(rl)/r+2$ Can I just now do differential of $R$ with respect to $r$
Can I continue with this method? Have I made some mistake so far? Or is this method completely wrong and is there some other method.