Question

Consider the monopolist with the function D(p) = 2000 - 4p and Marginal Cost = 10...

Consider the monopolist with the function D(p) = 2000 - 4p and Marginal Cost = 10

a) In a graph with on the vertical axis and units of output on the horizontal, draw the market demand function and the monopolist’s marginal revenue and marginal cost curves. Show your calculations for the monopoly price and output.(2 points)

b)Use your graph in part a) to calculate Producer’s Surplus. Calculate the monopoly profits using the monopolist’s profit function and show that they are equal to producers’ surplus. (1 point)

c) Based on your answer in part c), what is the lowest payment the monopolist would accept to sell her output at the competitive price? (1 point)

d) What is the highest transfer the consumers would be willing to pay to the monopolist for her to sell output at the competitive price? (2 marks)

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Consider the monopolist with the function D(p) = 2000 - 4p and Marginal Cost = 10...
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
  • A.Draw a graph showing the demand, marginal revenue, and marginal cost curves for a typical monopolist,...

    A.Draw a graph showing the demand, marginal revenue, and marginal cost curves for a typical monopolist, indicating the profit-maximizing price and level of output. Then, identify the competitive price and level of output. B.Making specific reference to your graph for Part A, identify the welfare costs of monopoly. Specifically, show how consumer and producer surplus are different under monopoly vs. competition, as well as any deadweight loss.

  • A monopolist’s inverse demand is P=500-2Q, the total cost function is TC=50Q2 + 1000Q and Marginal...

    A monopolist’s inverse demand is P=500-2Q, the total cost function is TC=50Q2 + 1000Q and Marginal cost is MC=100Q+100, where Q is thousands of units. a). what price would the monopolist charge to maximize profits and how many units will the monopolist sell? (hint, recall that the slope of the MARGINAL Revenue is twice as steep as the inverse demand curve. b). at the profit-maximizing price, how much profit would the monopolist earn? c). find consumer surplus and Producer surplus...

  • 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...

  • Consider a monopolist with the cost function C(q) = 6q, facing the market demand function D(p)...

    Consider a monopolist with the cost function C(q) = 6q, facing the market demand function D(p) = 20 − 2p. (a) Find the monopoly quantity and price, the monopolist’s profit and the con- sumer surplus. (b) Now suppose that the government gives to the monopolist a subsidy of $2 per unit sold. Find the monopoly quantity and price, the monopolist’s profit, the consumer surplus, and the cost of the subsidy. (c) How does this subsidy affect total surplus (taking into...

  • Suppose a monopolist faces the following demand curve: P = 440 – 7Q. The long run marginal cost of production is constant and equal to $20, and there are no fixed costs. A) What is the monopolist’s...

    Suppose a monopolist faces the following demand curve: P = 440 – 7Q. The long run marginal cost of production is constant and equal to $20, and there are no fixed costs. A) What is the monopolist’s profit maximizing level of output? B) What price will the profit maximizing monopolist produce? C) How much profit will the monopolist make if she maximizes her profit? D) What would be the value of consumer surplus if the market were perfectly competitive? E)...

  • A natural monopolist has the total cost function c(y) = 350 + 20y, where y is...

    A natural monopolist has the total cost function c(y) = 350 + 20y, where y is its output. The inverse demand function for the monopolist’s product is p = 100 – 2y. a) The firm is required by law to meet demand at a price equal to its marginal costs. Calculate the output, the price, profits of the firm, consumers’ surplus and the deadweight loss in the market if the firm To complies with this law. b) Suppose now that...

  • Suppose a profit maximizing monopolist has total cost and marginal cost as follow:

    Suppose a profit maximizing monopolist has total cost and marginal cost as follow:1. Suppose a profit-maximizing monopolist has total cost and marginal cost as follow: \(\mathrm{TC}=0.1 Q^{2}+Q+10\) and \(\mathrm{MC}=0.2 Q+1\). It faces the demand curve \(\mathrm{Q}=35-5^{\mathrm{P}} .(35\) points \()\)a) What are the price, output, and profit for this monopolist?b) Carefully draw the diagram that illustrates your answers.c) What are the equilibrium price, output, and total profit if this is a perfectly competitive market?d) Compare the results between monopoly and perfect...

  • Consider a single-price monopolist (i.e. the monopolist cannot price discriminate) facing the following market demand curve:...

    Consider a single-price monopolist (i.e. the monopolist cannot price discriminate) facing the following market demand curve: P = 120 − Q. The monopolist has constant marginal cost of $20 and zero fixed cost. (a) Determine the monopolist’s profit maximizing quantity, denoted QM, and profit maximizing price, denoted PM. (b) Determine the quantity and price that would result in the market if this instead were a competitive market, denoted QC and PC, respectively. (c) Draw a picture of the market demand...

  • A monopolist can produce any level of output at a constant marginal cost of $5 per...

    A monopolist can produce any level of output at a constant marginal cost of $5 per unit. Assume the monopoly sells its goods in two different markets separated by some distance. The demand curve in the first market is given by q1 = 65 − p1,and the demand curve in the second market is given by q2 = 90 − 2p2. (a) If the monopolist can maintain the separation between the two markets, what level of output should be produced...

  • 1. Consider a monopolist facing the demand curve p = 90 - 2q with cost function...

    1. Consider a monopolist facing the demand curve p = 90 - 2q with cost function clg)0.252 (a) Find the profit maximizing quantity qm and price pm What are the monopo- list's profits? (b) What is the value of the Lerner index at qm? (c) Find the efficient quantity and draw a graph depicting the deadweight loss under monopoly (d) What is the consumers' surplus under monopoly

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
ADVERTISEMENT