# Production function relationship between inputs and outputs Firms use the production function to determine how much output they should produce given the price of a good, and what combination of inputs they should use. We first study the relationship between inputs and the output; that is "production function". Then we look at the relationship between the output and costs; that is. 9 by Springer-Verlag MiszeUen -- Miscellanea. On the Relationship. Between Input-Output Production Coefficients and the CES Production Function. By. In Stage 2, output increases at a decreasing rate, and the average and marginal physical product both decline. However, the average product of fixed inputs not shown is still rising, because output is rising while fixed input usage is constant.

## PRODUCTION FUNCTION: INPUT-OUTPUT RELATIONSHIP Economics Assignment Help

In this stage, the employment of additional variable inputs increases the output per unit of fixed input but decreases the output per unit of the variable input. In Stage 3, too much variable input is being used relative to the available fixed inputs: The output per unit of both the fixed and the variable input declines throughout this stage. At the boundary between stage 2 and stage 3, the highest possible output is being obtained from the fixed input. Shifting a production function[ edit ] By definition, in the long run the firm can change its scale of operations by adjusting the level of inputs that are fixed in the short run, thereby shifting the production function upward as plotted against the variable input.

If fixed inputs are lumpy, adjustments to the scale of operations may be more significant than what is required to merely balance production capacity with demand.

For example, you may only need to increase production by million units per year to keep up with demand, but the production equipment upgrades that are available may involve increasing productive capacity by 2 million units per year.

Shifting a production function If a firm is operating at a profit-maximizing level in stage one, it might, in the long run, choose to reduce its scale of operations by selling capital equipment.

### Production Function: Relation between Physical Inputs and Output of a Good

By reducing the amount of fixed capital inputs, the production function will shift down. The beginning of stage 2 shifts from B1 to B2. The unchanged profit-maximizing output level will now be in stage 2. Then we look at the relationship between the output and costs; that is cost function. Studying the relationship between costs and inputs without regard to the output produced from the inputs is not useful.

### Production function - Wikipedia

That is why we study the relationship between costs and output. Factors of Production The primary factors of production are land and labor. Capital is another important factor of production.

In economics we distinguish between physical capital and financial capital. Non-physical assets such as copy rights and patent rights are functionally similar to physical capital. Financial assets representing physical capital stocks or used to acquire physical capital are financial capital.

In addition to land, labor and capital businesses often use intermediate goods raw materials and supplies in the production process.

• Production Function: Relation between Physical Inputs and Output of a Good

In market economies the function of entrepreneurs is also very important. The function of an entrepreneur is to acquire and combine all the needed factors of production to produce a good. An entrepreneur takes chances risks in the hope of making profits. Cost of production is simply the sum of the costs of all inputs used in production. It is rather based on the degree of the variability of inputs. In the short run at least one of the factors of production remains unchanged fixed.

## Production function

In the long run all factors of production are variable. In a two-input production process, in the short run, only one input is variable. In a two-input production model, in the short run, the changes in the output physical product are the result of changes in the variable input. Production in the Long Run In the long run all inputs used in the production process by the firm are variable. In a two-input production model, in the long run, both inputs say, capital and labor are variable.