A Firm's Total Cost Function Is Given by the Equation

question 59

Essay

A firm's total cost function is given by the equation:
TC = 4000 + 5Q + 10Q².
(1) Write an expression for each of the following cost concepts:
a. Total Fixed Cost
b. Average Fixed Cost
c. Total Variable Cost
d. Average Variable Cost
e. Average Total Cost
f. Marginal Cost
(2) Determine the quantity that minimizes average total cost. Demonstrate that the predicted relationship between marginal cost and average cost holds.

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Definitions:

Contributed Capital

Funds raised by a company through the issuance of shares to investors, representing the stockholders' equity apart from retained earnings.

Retained Earnings

The portion of net income left over for a business after it has paid out dividends to its shareholders, often used for reinvestment in the business or to pay down debt.

Small Stock Dividend

A dividend payment made in the form of additional shares, typically less than 25% of the existing shares.

Retained Earnings

The cumulative amount of net income kept in the company after dividends are paid and not distributed to shareholders.