# production function

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Assume an economy has the following production function: Y=F(K,L)=K0.4L0.6

a. State the per-worker production function.

b. If the savings rate is 0.2 and the depreciation rate is 0.05, calculate the steady-state capital stock per worker, output per worker, and consumption per worker.

c. Now suppose the government increases spending, reducing the country's savings rate to 0.1. Redo the calculations in (b) based upon this change. What is the effect on the government spending on the economy.

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This solution helps with a production function problem. Step by step calculations are given.

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Assume an economy has the following production function: Y=F (K, L) =K0.4L0.6

a. State the per-worker production function.

b. If the savings rate is 0.2 and the depreciation rate is 0.05, calculate the steady-state capital stock per worker, output per worker, and consumption per worker.

c. Now suppose the government increases spending, reducing the country's savings rate to 0.1. Redo the calculations in (b) based upon this change. What is the effect on the government spending on the economy?

Solution:

a) Per worker Production function

Consider the production function

Y=F (K, L) =K0.4L0.6

Y is GDP, at a ...

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