Question

Consider a single-price monopolist. The monopolist's total cost function is given by TC=2Q2. The demand curve...

Consider a single-price monopolist. The monopolist's total cost function is given by TC=2Q2. The demand curve for the monopolist's outputs is given by Q=300-0.25P. The market will have a deadweight loss of $____.

Homework Answers

Answer #1

converting the demand curve to the inverse demand curve to find MR

Q=300-0.25P

0.25P=300-Q

P=1200-4Q

MR=1200-8Q ...... MR curves double sloped than an inverse linear demand curve

MC=change in total cost =first differentiation of cost function=dTC/dQ=4Q

the firm produces at MR=MC

1200-8Q=4Q

12Q=1200

Q=100

P=1200-4*100=800

MC=4*Q=4*100=400

===

Social optimum is at MC=P

4Q=1200-4Q

8Q=1200

Q=150

P=4*150=600

===

DWL=0.5*(P monopoly- MC monopoly)*change in Q

=0.5*(800-400)*(150-100)

=10000

The DWL is $10000

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
3. Suppose that a price-searcher monopolist had a total cost function given by: TC= 20 +...
3. Suppose that a price-searcher monopolist had a total cost function given by: TC= 20 + 2Q +0.25Q2. The demand for the price searcher's product is given by: QD= 100 -5P. Calculate the price the monopolist will charge. (Do not include a dollar sign in your response. Round to the nearest two decimals.) 4. Suppose that a price-searcher monopolist had a total cost function given by: TC= 20 + 2Q +0.25Q2. The demand for the price searcher's product is given...
Suppose the demand for the good is P = 10 - Q. A monopolist's total cost...
Suppose the demand for the good is P = 10 - Q. A monopolist's total cost is TC = 2 + 4Q. What's the optimal price and quantity of the monopolist? calculate the deadweight loss from the monopoly.
Suppose that a price-searcher monopolist had a total cost function given by: TC= 20 + 0.5Q...
Suppose that a price-searcher monopolist had a total cost function given by: TC= 20 + 0.5Q +0.2Q2. The demand for the price searcher's product is given by: QD= 100 -20P. Calculate the monopolist's profit. (Do not include a dollar sign in your response. Round to the nearest two decimals.)
Suppose a monopolist has TC = 100 + 10Q + 2Q2, and the demand curve it...
Suppose a monopolist has TC = 100 + 10Q + 2Q2, and the demand curve it faces is p = 90 - 2Q. What will be the price, quantity, and profit for this firm?
assume that a monopolist faces a demand curve Q =200 - 10P, and marginal cost of...
assume that a monopolist faces a demand curve Q =200 - 10P, and marginal cost of $15. Compared with the perfectly competitive market's price, assuming the same demand function and costs hold true, what is the Monopolist's mark up? What is the deadweight loss from Monopoly pricing
Consider a monopolist facing a market demand given by:                                  
Consider a monopolist facing a market demand given by:                                        P = 100 – 2Q Where P is the price and Q is quantity. The monopolist produces the good according to the cost function c(Q) = Q2 + 10. Determine the profit-maximizing quantity and price the monopolist will offer in the market Calculate the profits for the monopolist Calculate the deadweight loss due to a monopoly. Illustrate this in a well labeled diagram.
Consider a monopolist facing a market demand given by p=100-2q Where p is the price and...
Consider a monopolist facing a market demand given by p=100-2q Where p is the price and q is the quantity, the monopolist produces good according to the cost function c(q)=q^2 +10 A determine the profit-maximizing quantity and the price the monopolist will offer in the market B calculate the profits for the monopolist C calculate the deadweight loss due to a monopoly. Illustrate this in a well-labelled diagram.
The monopolist produces and distributes the Cartoon Magazine. Demand is given by P = 1200-10Q. The...
The monopolist produces and distributes the Cartoon Magazine. Demand is given by P = 1200-10Q. The cost function is TC = 200Q+15Q2 e. Calculate the deadweight loss at the profit-maximizing price? f. What are outputs and price if the monopolist wants to maximize total social surplus?
Consider a total cost function of TC = 0.5Q^2 +10Q + 20 and the market demand...
Consider a total cost function of TC = 0.5Q^2 +10Q + 20 and the market demand function Q=70-p. a What is the profit-maximizing output and price for the perfect competition? Calculate its profit. b What is the profit-maximizing output and price for the monopolist? Calculate its profit. c What is the profit-maximizing output and price for the monopolist in the second market? Calculate its profit.
Consider a monopolist facing a market demand given by P = 100 - 2Q where P...
Consider a monopolist facing a market demand given by P = 100 - 2Q where P Is the price and Q is the quantity. The monopolist produces the good according to the cost function c(Q)=Q2+10 (a) Determine the profit maximizing quantity and price the monopolist will offer in the market (b) Calculate the profits for the monopolist. (c) Calculate the deadweight loss due to a monopoly. Illustrate this In a well labelled diagram.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT