Evaluating a Business Strategy

A price-taking firm operates with a total cost function given by TC(q) = 10 + 5q + 2q², where q is the quantity of output. Assuming the firm produces a positive amount of output, what is its supply function, q(P)?

Deriving a Firm's Supply Function from its Cost Structure

Supply Strategy for a Competitive Firm

A price-taking firm wants to determine how much output it should produce at any given market price. The firm knows its total cost of production as a function of quantity. Arrange the following steps in the correct logical order to derive the firm's supply function.

A competitive, price-taking firm has a total cost function given by TC(q) = 100 + 20q - q², where q is the quantity of output. A student correctly calculates the marginal cost as MC(q) = 20 - 2q. The student then concludes that the firm's supply function can be derived by setting the market price (P) equal to this marginal cost function. This conclusion is correct.

A competitive, price-taking firm seeks to determine its supply function based on its production costs. Match each total cost function (TC) with the correct corresponding supply function (q(P)), assuming the firm produces a positive quantity of output.

A competitive, price-taking firm has a total cost function given by TC(q) = 50 + 10q + 0.5q², where q is the quantity of output. The firm's profit-maximizing rule is to produce the quantity where the market price equals the firm's marginal cost. If the current market price is $30, the firm will produce ____ units of output.

A price-taking firm in a competitive market has a supply function given by q(P) = (P - 10) / 4, for any price (P) greater than or equal to 10. Which of the following total cost (TC) functions is consistent with this supply function, where q is the quantity of output?

Impact of Technological Improvement on a Firm's Supply

Supply Strategy for a Competitive Firm