In: Economics
There are 800 consumers in an economy that each have the same
utility function given by U(c, l) =
32(c)0.5 − (24 − l)2 where c is their
consumption and l is the number of hours they spend for
leisure.
A single firm serves the market with production function Y =
32L0.5K0.5. The firm cannot choose
its capital stock, which is fixed at K = 1600. You can assume the
price level is equal to 1 so real
and nominal wages are equivalent.
What is the equilibrium real wage and equilibrium total number
of hours worked per day?
How many hours does each consumer work per day?