Question

In: Economics

.  Suppose a monopoly faces inverse market demand P = 600 – 0.01Q, and that the firm’s...

.  Suppose a monopoly faces inverse market demand P = 600 – 0.01Q, and that the firm’s total cost curve is C = 2,500,000 + 10Q + 0.015Q2.

  1. Find the firm’s profit-maximizing price and output PM, QMand sketch the equilibrium.  
  2. Find the firm’s ATC formula.  What is the ATC at the output level you found in part a?
  3. Add the ATC to your graph and indicate the firm’s profit.  What is the total profit?
  4. What is the per unit profit at QM?  Explain why it does not make sense to produce more output when the average cost is so far below the price at QM.
  5. Find the firm’s Lerner index at PM, QM. What does the number tell you?
  6. Suppose the government levies an 8% tax on profits.  Does this tax alter the monopoly’s price-output choice? Explain why or why not.

Solutions

Expert Solution


Related Solutions

The inverse demand function a monopoly faces is P = 100 − Q. The firm’s cost...
The inverse demand function a monopoly faces is P = 100 − Q. The firm’s cost curve isTC(Q) = 10 + 5Q.Suppose instead that the industry is perfectly competitive. The industry demand curve and firm cost function is same as given before. (j) (4 points) What is the level of output produced? Compare it to the output of single price monopoly. (k) (4 points) What is the equilibrium price for this industry? Compare it to the price charged of single...
4. Assume a monopoly faces an inverse demand function of p = 150 - 3Q, and...
4. Assume a monopoly faces an inverse demand function of p = 150 - 3Q, and has a constant marginal and average cost of 30. a. If the monopolist can perfectly discriminate, what is its profit, consumer surplus and total surplus, and what is the deadweight loss of monopoly? b. If the firm is a single-price monopolist, what is its profit, consumer surplus and total surplus, and what is the deadweight loss of monopoly?
The inverse demand curve a monopoly faces is p = 100 - 2Q The​ firm's cost...
The inverse demand curve a monopoly faces is p = 100 - 2Q The​ firm's cost curve is C (Q) = 20 + 6Q What is the​ profit-maximizing solution? The profit-maximizing quantity is _______. (Round your answer to two decimal places.) The profit-maximizing price is $________. (Round your answer to two decimal places.) What is the firm's economic profit? The firm earns a profit of $________. (Round your answer to two decimal places.) How does your answer change if C(Q)...
12. Suppose a monopoly firm faces the market demand Q = 500 – p and has...
12. Suppose a monopoly firm faces the market demand Q = 500 – p and has cost function C = 100 + Q2 . Find the firm’s profit, CS, PS, and DWL for the following scenarios: a. The monopoly firm charges a single price b. The monopoly firm perfectly price discriminate c. The monopoly firm adopts a block-pricing schedule with 2 quantity blocks
A monopolist faces a demand curve of the form: P = 610 – 0.01Q. The total...
A monopolist faces a demand curve of the form: P = 610 – 0.01Q. The total cost for this monopolist is TC = 2,000,000 + 10Q. Assume there are no externalities of production or consumption of this monopolist’s product. a) Suppose this monopolist cannot price discriminate. Explain why this monopolist will not produce an output greater than 30,000 units.     b) Draw a diagram to illustrate this monopolist’s situation. Show the demand, marginal revenue and marginal cost curves, and the...
A monopolist faces a demand curve of the form: P = 610 – 0.01Q. The total...
A monopolist faces a demand curve of the form: P = 610 – 0.01Q. The total cost for this monopolist is TC = 2,000,000 + 10Q. Assume there are no externalities of production or consumption of this monopolist’s product. a) Suppose this monopolist cannot price discriminate. Explain why this monopolist will not produce an output greater than 30,000 units. b) Draw a diagram to illustrate this monopolist’s situation. Show the demand, marginal revenue and marginal cost curves, and the profit...
Suppose the inverse market demand equation is P = 95 – 10Q and the inverse market...
Suppose the inverse market demand equation is P = 95 – 10Q and the inverse market supply equation is P = 5 + 5Q. A price floor of $85 will result in: a. a shortage of 10 units. b. a shortage of 15 units. c. a surplus of 10 units. d. a surplus of 15 units. e. None of the above.
Monopolistic firm faces the inverse demand function p = 250 – 6Q. Firm’s total cost of...
Monopolistic firm faces the inverse demand function p = 250 – 6Q. Firm’s total cost of production is C = 1250 + 10Q + 8Q2 : 1. Create a spreadsheet for Q = 1 to Q = 20 in increments of 1. Determine the profit-maximizing output and price for the firm and the consequent level of profit. 2. Will the firm continue the production at the profit-maximizing level of output? Show why or why not? 3. Calculate the Lerner Index...
Monopolistic firm faces the inverse demand function p = 250 – 6Q. Firm’s total cost of...
Monopolistic firm faces the inverse demand function p = 250 – 6Q. Firm’s total cost of production is C = 1250 + 10Q + 8Q2 : 1. Create a spreadsheet for Q = 1 to Q = 20 in increments of 1. Determine the profit-maximizing output and price for the firm and the consequent level of profit. 2. Will the firm continue the production at the profit-maximizing level of output? Show why or why not? 3. Calculate the Lerner Index...
Monopolistic firm faces the inverse demand function p = 250 – 6Q. Firm’s total cost of...
Monopolistic firm faces the inverse demand function p = 250 – 6Q. Firm’s total cost of production is C = 1250 + 10Q + 8Q2 : 1. Create a spreadsheet for Q = 1 to Q = 20 in increments of 1. Determine the profit-maximizing output and price for the firm and the consequent level of profit. 2. Will the firm continue the production at the profit-maximizing level of output? Show why or why not? 3. Calculate the Lerner Index...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT