A worker has utility function over consumption x and leisure l given by: u(x,l)=(x*l)⁰.⁵
The worker chooses how many of the 16 hours they are awake each day to supply to the labor market, subject to a market wage of w. Assume they consume what they earn at the end of the day and that non-labor income is 8.
a. Setup the Lagrangian that describes the worker’s labor supply problem.
The worker chooses how many of the 16 hours they are awake each day to supply to the labor market, subject to a market wage of w. Assume they consume what they earn at the end of the day and that non-labor income is 8.
a. Setup the Lagrangian that describes the worker’s labor supply problem.