A Country Has the Per-Worker Production Function

question 62

Essay

A country has the per-worker production function
y_t = 6 ,
where y_t is output per worker and k_t is the capital-labor ratio.The depreciation rate is 0.1 and the population growth rate is 0.1.The saving function is
S_t = 0.1 Y_t,
where S_t is total national saving and Y_t is total output.
(a)What is the steady-state value of 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?

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Definitions:

Perpetual Inventory System

An inventory management system where updates are made continuously to record sales and purchases in real-time.

Inventory Sold

Inventory sold refers to the goods or merchandise a company sells to its customers during a specific period, which were previously part of the company's inventory.

Perpetual Inventory System

A method of accounting for inventory that updates the inventory levels continuously after each purchase, sale, or return.

Income Statement

An income statement is a financial statement that shows a company's revenues and expenses over a specific period, culminating in net income or loss.