= 40q – 12q² and its where q is the firm's output. (b) The total revenue curve of a firm is R(q) 400 average cost A(q) q² – 12.85q + 20 + i. Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's maximum profit?

= 40q – 12q² and its where q is the firm's output. (b) The total revenue curve of a firm is R(q) 400 average cost A(q) q² – 12.85q + 20 + i. Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's maximum profit?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter11: Price And Output Determination: Monopoly And Dominant Firms

Section: Chapter Questions

Problem 3E

See similar textbooks

Similar questions

Please no written by hand and no emage Suppose that a company that makes and sells hand-crafted artwork has a cost function C(x) = 24x + 300, where x is the number of items made, and a revenue function R(x) = 45x, where x is the number of items sold. What is the profit from the 28th item made and sold? There is a $ sign listed next to the answer box, so do not type a $ sign in your answer.
Sergio Lopez is a publisher of Latin American poetry. His fixed cost is $525, and the cost to produce each individual copy of his book is $3.50. Currently, Sergio is selling these books for $6 each. So far this year, he has produced x a. Write a linear cost function C for Sergio’s book production, in terms of x. b. Find the linear revenue function R for selling x copies of the book. Remember that P(x) = (price)x. c. Use and 1b. to determine the profit function P for selling x books. Write the formula in simplified form. d.Use your answer for 1c to determine the profit, in dollars, for selling 300 books.
It costs a coat manufacturer $8750 to make 125 coats and it costs $6500 to make 80 coats. Each coat is sold for $250. a. How much is the marginal cost? Round to two decimal places if rounding is necessary. Do not enter a fraction. There is a $ sign next to the answer box, so do not type a $ sign in your answer. Only type a number (do not type any units on your answer). $ b. What is the slope of the Profit function, P(x)? Round to two decimal places if rounding is necessary. Do not enter a fraction. There is a $ sign next to the answer box, so do not type a $ sign in your answer. Only type a number (do not type any units on your answer). $ c. How many coats must be sold in order to break even? Round to the nearest whole number if rounding is necessary. Do not enter a fraction. Only type a whole number (do not type any units on your answer).
If the firm produces 4 units of production at a price of 8 monetary units each, and the total fixed costs (TFC) are 10 monetary units, the total variable costs (TVC) are 42 monetary units. Calculate the total economic profit (or the loss).
At a hotel property, if foxed costs run at $690,000 and variable costs are typically 45% of revenues, what is the profit if the property generates $2, 400,000 in revenue?
Suppose that the marginal revenue for a product is MR = 775 and the marginal cost is MC = 39 times sq. root of x+1, with a fixed cost of $906. Find the profit function, then find the profit or loss fromthe production and sale of 3 units.__________________________________________________
Suppose that the marginal revenue for a product is MR=775 and the marginal cost is MC39sqrt(x+1), with a fixed cost of$906.00 Find the profit or loss from the production and sale of 3 units.
he total revenue curve of a firm is R(q)=40q−12q and its average cost A(q)=130q−12.85q+20 +400q,where q is the firms output. i. Derive an expression C(q) for the firms total cost function. ii. Derive an expression Π(q) for the firms profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firms profit is maximized. v. What is the firmss maximum profit?
Consider a firm's total profit (TP) function as follows: TP = 50Q - Q2 (Q refers to the quantity of output) The firm's maximum level of total profit equals __________ . Select one: a. $1000 b. $25 c. $625 d. $500
The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) = 1/30 q2 − 12.85q + 20 +400/q, where q is the firm's output. i. Derive an expression C(q) for the firm's total cost function.ii. Derive an expression Π(q) for the firm's profit function.iii. Is the rate of change of profit increasing or decreasing when theouput level of the firm is 10 units?iv. Determine the level of output for which the firm's profit is maximized.v. What is the firm's maximum profit?
ONE A. Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to be �ж=�35 �х=560+22�Ȓ� Where �is the quantity produced and the firm’s break-even is 5 units per week You are Required to I. determine the total cost and the total revenue function in terms of q.
A firm has the following demand and average total cost functions: Q = 30 − PATC =(7/Q)− 6 +(1/2)Q Find:i. The total revenue function ii. The total cost function iii. The level of output that will maximize revenue and minimize total costs iv. The profit function and the level of output that maximize profits v. Show that AR = P