Question

Suppose a monopolist faces consumer demand given by P = 400 - 10 with a constant marginal cost of $40 per unit (where margina

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Answer to blank 1: $32,400

Answer to blank 2: $16,200

Answer to blank 3: $48,600

Explanation:

P = 400 -1Q

TR = P * Q = 400Q - 1Q2

MR = 400 - 2Q

MC = 40

The profit maximization condition is:

MR = MC

400 - 2Q = 40

2Q = 400 - 40 = 360

Q = 360 / 2 = 180            [Profit maximizing quantity]

P = 400 - 1Q = 400 - 1(180) = $220        [Profit maximizing price]

TR = P * Q = $220 * 180 = $39,600

TC = $40 * 180 = 7,200

Profit = TR - TC = 39,600 - 7,200 = $32,400

Consumer surplus = 0.5[(400 - 220) * 180] = $16,200

When the firm practice price discrimination,

Profit = 32,400 + 16,200 = $48,600

Add a comment
Know the answer?
Add Answer to:
Suppose a monopolist faces consumer demand given by P = 400 - 10 with a constant...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Suppose a monopolist faces consumer demand given by P 400-5Q with a constant marginal cost of $20 per unit (where margi...

    Suppose a monopolist faces consumer demand given by P 400-5Q with a constant marginal cost of $20 per unit (where marginal cost equals average total cost. assume the firm has no fixed costs) If the monopoly can only charge a single price, then it will earn profits of S(Enter your response rounded as a whole number.) Correspondingly, consumer surplus is S However, if the firm were to practice price discrimination such that consumer surplus becomes profit, then, holding output constant...

  • Suppose a monopolist faces consumer demand given by P 600 1Q with a constant marginal cost...

    Suppose a monopolist faces consumer demand given by P 600 1Q with a constant marginal cost of $60 per unit (where marginal cost equals average total cost. asssume the firm has no fixed costs). If the monopoly can only charge a single price, then it will earn profits of S(Enter your response rounded as a whole number.) Correspondingly, consumer surplus is S However, if the firm were to practice price discrimination such that consumer surplus becomes profit, then, holding output...

  • If a monopoly faces an inverse demand curve of p=330-Q, has a constant marginal and average...

    If a monopoly faces an inverse demand curve of p=330-Q, has a constant marginal and average cost of $90, and can perfectly price discriminate, what is its profit? What are the consumer surplus, welfare, and deadweight loss? How would these results change if the firm were a single price monopoly? Profit from perfect price discrimination (T) is S . (Enter your response as a whole number) Corresponding consumer surplus is (enter your response as whole numbers): CSESO welfare is W=$...

  • Part E-H Assume a profit-maximizing monopolist faces a market demand given by P = (12,000 –...

    Part E-H Assume a profit-maximizing monopolist faces a market demand given by P = (12,000 – 90Q)/100 and long run total and marginal cost given by LRTC = 5Q + Q2 + 40 (Note: The answer to this question must be hand-written.): a) Find the equation of the marginal revenue curve corresponding to the market demand curve. b) Find the equation for the marginal cost function. c) Find the profit-maximizing quantity of output for the monopoly and the price the...

  • A monopolist faces a demand curve P = 210 - 3Q and faces a constant marginal cost MC = 15.

    A monopolist faces a demand curve P = 210 - 3Q and faces a constant marginal cost MC = 15. a) Calculate the profit-maximizing monopoly quantity and compute the monopolist's total revenue at the optimal price. d) Suppose that this monopoly opens for competition and the market becomes perfectly competitive. The firms face constant marginal cost MC = 15. Find the long-run perfectly competitive industry price and quantity.

  • Suppose a profit-maximizing monopolist faces a demand curve given by Q = 130 – P. a....

    Suppose a profit-maximizing monopolist faces a demand curve given by Q = 130 – P. a. Write the equations for total revenue and marginal revenue. b. The firm has fixed costs of capital equal to $3500 and variable costs are estimated to be 1⁄2Q2 – 50Q. Write the equations for total cost, average total cost, and marginal cost. c. Calculate the profit-maximizing price and output for the firm. d. Calculate the firm’s profits. e. Graph the curves representing the firm’s...

  • Suppose that a monopolist faces the following costs and demand for its product: A. Complete the...

    Suppose that a monopolist faces the following costs and demand for its product: A. Complete the table above. (Draw your table on a piece of paper, take a picture with your phone and then attach the image to your answer here.) B. Given that the monopolist wants to maximise profits, what price will it charge, and how many units will it produce? C. Suppose that the monopolist is able to engage in first degree (perfect) price discrimination. How many units...

  • Suppose that a monopolist faces a constant marginal cost of 6 and a constant (firm) elasticity...

    Suppose that a monopolist faces a constant marginal cost of 6 and a constant (firm) elasticity of demand of -2. Using the Lerner Index, what is the monopoly price and what is the mark-up (difference between price and marginal cost)?

  • 1. Suppose that a single-price monopolist faces the demand function P 100 Q where I is...

    1. Suppose that a single-price monopolist faces the demand function P 100 Q where I is average weekly household income, and that the firm's marginal cost function is given by MC(Q) 2Q. The firm has no fixed costs. = (a) If the average weekly household income is $600, find the firm's marginal revenue function. (b) What is the firm's profit-maximizing quantity of output? At what price will the firm sell that output? What will the firm's marginal cost be? (c)...

  • Suppose a monopolist faces a market demand of P = 48 - 4Q. The monopolist has...

    Suppose a monopolist faces a market demand of P = 48 - 4Q. The monopolist has a constant marginal cost of 8 per unit. If the monopolist can only charge a single price to consumers, how many units should the monopolist produce to maximize profits? 10 5 12 6

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT