1. Another economy has the production Y = A * K^0.5 * L^0.5, the marginal product MPL = 0.5 * A * K^0.5 / L^0.5, in which K = 144 and the supply of labor w = 5 * EP/P *L^0.5 Productivity is A=50. In absence of shocks and policies, EP/P=1, the number of jobs is L = 60, and wage is w = 38.73. But now inflation is slower than expected, with EP/P=1.2. Find the new equilibrium number of workers.   2. Find the new equilibrium wage at EP/P=1.2   3. Graph the change in the labor market equilibrium. Mark the before and after equilibria with E0 and E1. Label axes and curves, map relevant values onto axes.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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1. Another economy has the production

Y = A * K^0.5 * L^0.5,

the marginal product

MPL = 0.5 * A * K^0.5 / L^0.5, in which K = 144

and the supply of labor

w = 5 * EP/P *L^0.5

Productivity is A=50. In absence of shocks and policies, EP/P=1, the number of jobs is L = 60, and wage is w = 38.73.

But now inflation is slower than expected, with EP/P=1.2.

Find the new equilibrium number of workers.

 

2. Find the new equilibrium wage at EP/P=1.2

 

3. Graph the change in the labor market equilibrium. Mark the before and after equilibria with E0 and E1. Label axes and curves, map relevant values onto axes.

 

4. Now let's consider this same scenario in terms of the accelerationist Phillips curve. The labor force is N=64. Find the rates of unemployment before and after as (N-L)/N and map them into our surprise inflation indexes, EP/P. Label the natural rate of unemployment, show the cyclical rate of unemployment.

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