The relationship between rate of inputs of productive services and the rate of output is known as:

Production function
Utility function
Supply function
None of these

The correct answer is: A. Production function.

A production function is a mathematical relationship that describes the maximum amount of output that can be produced from a given amount of inputs. The inputs can include labor, capital, land, and other resources. The output can be goods or services.

The production function is a key concept in economics. It is used to analyze the factors that affect production, to determine the optimal level of production, and to predict the effects of changes in input prices or technology.

The production function is also used in other fields, such as engineering and management. In engineering, the production function is used to design and optimize production systems. In management, the production function is used to make decisions about resource allocation and pricing.

Here is a brief explanation of each option:

  • A production function is a mathematical relationship that describes the maximum amount of output that can be produced from a given amount of inputs.
  • A utility function is a mathematical relationship that describes the level of satisfaction that a consumer receives from consuming goods and services.
  • A supply function is a mathematical relationship that describes the quantity of a good or service that a firm is willing and able to supply at different prices.
  • None of these is the correct answer.
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