# What is a per capita production function?

## What is a per capita production function?

To obtain a per capita production function, divide each input in Figure 6.2(a) by the population. This creates a second aggregate production function where the output is GDP per capita (that is, GDP divided by population). The result of having population in the denominator is mathematically appealing.

### What is production function example?

One very simple example of a production function might be Q=K+L, where Q is the quantity of output, K is the amount of capital, and L is the amount of labor used in production. For example, a firm with five employees will produce five units of output as long as it has at least five units of capital.

**How do you calculate per capita production?**

To calculate per capita, one would take the statistical number and divide it by the population being analyzed. For national economic indicators, such as gross domestic product (GDP) or gross national product (GNP), the total figure is certainly of interest.

**How do you calculate capital per capita?**

Capital per capita is the capital/labor ratio, k = K L . Consumption per capita is c = C L .

## What is an example of capital deepening?

An increase in capital per hour (or capital deepening) leads to an increase in labor productivity. For example, consider factory workers in a motor vehicle plant. If workers have increased access to machinery and tools to build vehicles, they can produce more vehicles in the same amount of time.

### What are examples of physical capital?

Physical capital consists of man-made goods that assist in the production process. Cash, real estate, equipment, and inventory are examples of physical capital.

**What are economic functions?**

A function describes the relation between two or more than two variables. That is, a function expresses dependence of one variable on one or more other variables.

**What is the production function equation?**

The production function is expressed in the formula: Q = f(K, L, P, H), where the quantity produced is a function of the combined input amounts of each factor. The formula for this form is: Q = f(L, K), in which labor and capital are the two factors of production with the greatest impact on the quantity of output.

## What is per capita income in economics?

Per capita income is a measure of the amount of money earned per person in a nation or geographic region. Per capita income for a nation is calculated by dividing the country’s national income by its population.

### Is capital deepening economic growth?

An increase in capital per hour (or capital deepening) leads to an increase in labor productivity. Capital deepening, then, also generally leads to an increase in the growth rate of total output. Capital deepening is also thought to be a major factor—if not a prerequisite—of economic development in emerging markets.

**Is the per capita production function equal to the general production function?**

Remember: It will only be the case that the per capita production function ends up with the exponent on the per capita capital term being equal to what it was in the general production function, if you have a constant returns to scale model, so be careful. If playback doesn’t begin shortly, try restarting your device.

**What is the relationship between GDP per capita and productivity?**

An economy’s rate of productivity growth is closely linked to the growth rate of its GDP per capita, although the two are not identical. For example, if the percentage of the population who holds jobs in an economy increases, GDP per capita will increase but the productivity of individual workers may not be affected.

## What is the relationship between human capital and production?

Increases in human capital: Better trained and educated people are able to produce more goods and services because they understand how to use capital more efficiently, and can use their training to work more efficiently. To get the per worker production function, we need to start out with a production function.

### What two components factor into economic growth and labor productivity?

Two components factor into economic growth and labor productivity: capital and technology. Capital refers to the amount of physical capital in the economy such as machines, robots, factories, and any other tool that helps workers make things. Technology can refer to the following: