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Let E = En + Ei denote the total size of the labor force, where En and Ei repres

ID: 2496216 • Letter: L

Question

Let E = En + Ei denote the total size of the labor force, where En and Ei represent native-born workers and immigrants, respectively (measured in thousands). Assume that immigrants supply that labor inelastically, and the supply of native-born workers is governed by w=4En. The demand for labor is w=120–8Ed.

a) Suppose that initially there is no immigration at all: Ei =0. What is the equilibrium wage and level of employment?
b) Now suppose that there is some immigration and Ei = 6. What happens to the equilibrium wage, total employment, and
the employment of native-born workers?

Explanation / Answer

E = En+ Ei

w=4En

demand : w = 120-8Ed

(a) Equilibirum is where demand is equal to supply

120-8Ed = 4E

120 =12E

E = 10

w = 4x10 =$40

(b) Total E will now be = 10+4=14

with E =$14 the wage emplooyers will provide will be:

w = 120-8x14

w = 120-112

w = $8

Labor supply of native workers at this wage is:

8=4En

En = 2

The total labor supply will fall to 2+6 =8 labors.

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