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.

Principles of Economics 2e
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ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter24: The Aggregate Demand/aggregate Supply Model
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Problem 3SCQ: The short run aggregate supply curve was constructed assuming that as the price of outputs...
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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.

 

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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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