In: Economics
There's a country with 1 company and 1 person.
A company's labor demand by matching MPN is w=B which is perfectly elastic
total time h=N+l , N for work time and l for leisure time
C is consumption.
to maximize a person's utility, U(C,l) = C^(1-a)l^a
desired C is (1-a)(w*h+b)
desired l is (a/w)(w*h+b)
labor supply curve is (1-a)*h-(a*b)/w
labor demand curve is B
is there anything wrong in this question? and verify this by matching aggregate supply and demand curve