Indicates the highest output q that a firm can produce for every specified combination of inputs
Inputs
Labor (L), capital (K), and materials
Firms can turn inputs into outputs in a variety of ways, using various combinations of labor, materials, and capital
The production function relates the quantity of output to the quantities of the two inputs, capital and labor
Inputs and outputs are flows, referring to amounts used or produced per year
The production function applies to a given technology - as the technology improves, the firm can obtain more output for a given set of inputs
Fixed input
Production factor that cannot be varied
Short run
Period of time in which quantities of one or more production factors cannot be changed
Long run
Amount of time needed to make all production inputs variable
In the short run, firms vary the intensity with which they utilize a given plant and machinery; in the long run, they vary the size of the plant
All fixed inputs in the short run represent the outcomes of previous long-run decisions based on estimates of what a firm could profitably produce and sell
There is no specific time period, such as one year, that separates the short run from the long run. Rather, one must distinguish them on a case-by-case basis
In the long run firms can vary the amounts of all their inputs to minimize the cost of production
When capital is fixed but labor is variable, the only way the firm can produce more output is by increasing its labor input
Average product of labor (APL)
Output per unit of labor input
Marginal product of labor (MPL)
Additional output produced as the labor input is increased by 1 unit
When the marginal product is greater than the average product
The average product is increasing
When the marginal product is less than the average product
The average product is decreasing
The marginal product must equal the average product when the average product reaches its maximum
The average product of labor is given by the slope of the line drawn from the origin to the corresponding point on the total product curve
The marginal product of labor at a point is given by the slope of the total product at that point
Marginal product
The additional output produced by adding one more unit of an input, with other inputs held constant
As the use of an input increases in equal increments (with other inputs fixed)
A point will eventually be reached at which the resulting additions to output decrease
Law of diminishing marginal returns
Principle that as the use of an input increases with other inputs fixed, the resulting additions to output will eventually decrease
The law of diminishing marginal returns usually applies to the short run when at least one input is fixed
The law of diminishing marginal returns can also apply to the long run, even though inputs are variable
The law of diminishing marginal returns describes a declining marginal product but not necessarily a negative one
Technological improvements
Allow the total product curve to shift upward, so that more output can be produced with the same inputs
Malthus wrongly predicted dire consequences from continued population growth due to failing to account for long-run improvements in technology
Over the past century, technological improvements have dramatically altered food production, resulting in the average product of labor and total food output increasing
Labor productivity determines the real standard of living that a country can achieve for its citizens
One of the most important sources of growth in labor productivity is growth in the stock of capital
Labor productivity
Average product of labor for an entire industry or for the economy as a whole
Stock of capital
Total amount of capital available for use in production
Technological change
Development of new technologies allowing factors of production to be used more effectively
There is a simple link between labor productivity and the standard of living
In any particular year, the aggregate value of goods and services produced by an economy is equal to the payments made to all factors of production, including wages, rental payments to capital, and profit to firms
Consumers in the aggregate can increase their rate of consumption in the long run only by increasing the total amount they produce
Causes of productivity growth
Growth in the stock of capital - more and better machinery allows each worker to produce more output
Technological change - development of new technologies that allow labor (and other factors of production) to be used more effectively and to produce new and higher-quality goods
Levels of labor productivity have differed considerably across countries, as have rates of growth of productivity