Consider a worker who chooses how many hours to work, L$,$ given a fixed wage w and a fixed

amount of non$-$labor income M$.$ The worker$$s utility depends on leisure $($H$$L$)$ and consumption

C$,$ where H is the total available time in a day. The utility function is:

U $($C$,$ L$)=()0\mathrm{.}50\mathrm{.}5$