Question

Coca is a monopolist for a new drug that makes people feel thinner. The total cost...

Coca is a monopolist for a new drug that makes people feel thinner. The total cost function is C(Q) = 200 + 10Q + Q 2(read as Q squared or Q to the power of 2) . The inverse demand function is p(Q) = 82 − Q.

(a) By how much do revenues increase if Coca sells one more (small) unit of output? By how much does its cost go up if it produces one more (small) unit of output? (3 points)

(b) What is the optimal price and quantity the monopolist should charge / sell? (4 points)

(c) What is the profit the monopolist makes? Should the firm shut down in the short or long run? (3 points)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A monopolist faces different demand from two groups of consumers. Their demand functions and total cost...
A monopolist faces different demand from two groups of consumers. Their demand functions and total cost of the monopolist are as follows: Demand from group 1: Q1=20-P1 Demand from group 2: Q2=22-0.5P2 Total cost function: TC=100+0.5Q2 where Q=Q1+Q2 Suppose the firm is able to price discriminate between the two groups of consumers. (a) What is the optimal output level of the monopolist for group 1? (b) What price should be charged for group 1 by the monopolist? (c) What is...
Dayna’s Doorstops, Inc. (DD) is a monopolist in the doorstop industry. Its cost is C =...
Dayna’s Doorstops, Inc. (DD) is a monopolist in the doorstop industry. Its cost is C = 5 + 10Q + Q2, and the demand function is Q = 260 – 2P. Assume that the monopolist is maximizing its profits. What price should DD set to maximize profit? What output does the firm produce? How much consumer surplus does DD generate? How much producer surplus does DD generate? What is the deadweight loss from monopoly power
3. (i) A monopolist faces the following demand and total cost functions: Q1 = 65 -1/2P,...
3. (i) A monopolist faces the following demand and total cost functions: Q1 = 65 -1/2P, TC = Q2 + 10Q + 50 (a) Calculate the profit maximizing output and price of the monopolist. Calculate the resulting profit. (12 points) (b) Suppose the government imposes an excise tax of $30 on the production and sale of the product. Calculate the resulting optimal profit maximizing output and price for the monopolist. Also determine the level of profit. (12 points) (c) If...
1) The inverse demand curve a monopoly faces is p=110−2Q. The​ firm's cost curve is C(Q)=30+6Q....
1) The inverse demand curve a monopoly faces is p=110−2Q. The​ firm's cost curve is C(Q)=30+6Q. What is the​ profit-maximizing solution? 2) The inverse demand curve a monopoly faces is p=10Q-1/2 The​ firm's cost curve is C(Q)=5Q. What is the​ profit-maximizing solution? 3) Suppose that the inverse demand function for a​ monopolist's product is p = 7 - Q/20 Its cost function is C = 8 + 14Q - 4Q2 + 2Q3/3 Marginal revenue equals marginal cost when output equals...
A company is a monopolist in the door industry. The total cost is C = 100...
A company is a monopolist in the door industry. The total cost is C = 100 - 5Q + Q^2 and the inverse demand is P = 55 - 2Q. x. Determine the price that the company should set in order to maximize profit. At what output does the firm produce? Determine how much profit and consumer surplus would the company generate. y. Determine the output if the company was a perfectly competitive firm. What would the profit and consumer...
Assume that a monopolist faces a demand curve for its product given by:                              &nbs
Assume that a monopolist faces a demand curve for its product given by:                                                                                                                                                                               p=120−1q                                                                                                                                                                                                                                                                                                                            Further assume that the firm's cost function is:                                                                                                                                                                                                                                                                                                                   TC=580+11q                                                                                                                                                       Using calculus and formulas (don't just build a table in a spreadsheet as in the previous lesson) to find a solution, how much output should the firm produce at the optimal price?                                                                                                                                                                                                                                                          Round the optimal quantity to the nearest hundredth before computing the optimal price, which you should then...
Company ARC is a monopolist in the robot cleaner industry. Its total cost function is given...
Company ARC is a monopolist in the robot cleaner industry. Its total cost function is given by: TC = 200 − 5Q + 2Q# The demand in this robot cleaner industry is: P = 115 − Q (a) What output and price should ARC set to maximise profit? (b) How much profit does ARC generate based on the calculation in (a)? What consumer surplus would be generated? (c) What would output be if ARC acted like a perfect competitor, what...
Suppose a drug manufacturer sells a new drug for twitchy feet. The market demand curve for...
Suppose a drug manufacturer sells a new drug for twitchy feet. The market demand curve for the drug is P=120-4Q, where P is the market price and Q is the market quantity. Also suppose the marginal cost for manufacturing is 20/ unit. A) Assuming the firm is an unregulated monopolist, what quantity and price should the firm offer? Quantity = Price = B) Now suppose, the manufacturer has identified two separate classifications of customers for their twitchy feet product. Because...
P1 A marketing analyst has estimated a firm’s demand function to be ?? = 40 ?...
P1 A marketing analyst has estimated a firm’s demand function to be ?? = 40 ? 2?? + 20??, where X is an indicator for whether the economy is in a boom (X = 1) or recession (X = 0). Marginal cost of producing the good is 10. i) Write down the inverse demand, i.e. P as a function of Q and X. ii) Write down the marginal revenue function during a boom as a function of Q. iii) What...
1. In the short run, the firm ________ change the number of workers it employs but...
1. In the short run, the firm ________ change the number of workers it employs but ________ change the size of its plant. A) can; can B) can; cannot C) cannot; can D) cannot; cannot 2.Jill runs a factory that makes lie detectors in Little Rock, Arkansas. This month, Jill's 34 workers produced 690 machines. Suppose Jill adds one more worker and, as a result, her factory's output increases to 700. Jill's marginal product of labor from the last worker...