the worker's utility function is c*l (dollars of consumption times leisure hours per week). The worker has 80 hour per week to devote to leisure or work and earns a wage of $20 per hour. The worker has no nonlabor income.

1 Solve for the worker's optimal labor supply (h*) in hours per week.

2 Solve for the worker's optimal dollars of consumption per week

3 Solve for the worker's maximum utility

4 Suppose the same worker now can decide to continue working or collect benefits in a welfare program. The worker can receive $B maximum benefits from the welfare program, but only qualifies for welfare if he has zero income. At what value of B will the worker decide to quit working and opt to join the welfare program?