A firm has a production function described as follows:"Weekly output is equal to the square root of the minimum of the amount of capital and the number of hours of labor used per week." Suppose that the cost of a unit of capital is r and the price of a unit of labor is w and the level of output is y.Write down the long-run total cost as a function of w, r, and y.

Production Function

An equation or model that describes the relationship between inputs used in production and the output of goods or services.

Capital

The financial assets or resources that businesses and individuals use to invest, produce goods and services, including buildings, machinery, and equipment.

Output

The quantity of goods or services produced in a given period by a firm, industry, or country.