A country has the per-worker production function
yt = 5,
where yt is output per worker and kt is the capital-labor ratio.The depreciation rate is 0.2 and the population growth rate is 0.05.The saving function is
St = 0.2Yt,
where St is total national saving and Yt is total output.
(a)What is the steady-state value of the capital-labor ratio?
(b)What is the steady-state value of output per worker?
(c)What is the steady-state value of consumption per worker?

Question

A country has the per-worker production function  
yt = 5,
where yt is output per worker and kt is the capital-labor ratio.The depreciation rate is 0.2 and the population growth rate is 0.05.The saving function is
St = 0.2Yt,
where St is total national saving and Yt is total output.
(a)What is the steady-state value of the capital-labor ratio?
(b)What is the steady-state value of output per worker?
(c)What is the steady-state value of consumption per worker?

Quizplus · Accepted Answer

The Answer of A country has the per-worker production function  
yt = 5,
where yt is output per worker and kt is the capital-labor ratio.The depreciation rate is 0.2 and the population growth rate is 0.05.The saving function is
St = 0.2Yt,
where St is total national saving and Yt is total output.
(a)What is the steady-state value of the capital-labor ratio?
(b)What is the steady-state value of output per worker?
(c)What is the steady-state value of consumption per worker?

A Country Has the Per-Worker Production Function