Question

Fill in the Blanks Stackelberg Leader-Follower duopolists face a market demand curve given by P = 90 - Q where Q is total mar

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

Maximise profit where MR equals MC.

MR can be find by taking derivative of TR.

TR =P*Q

=(90-Q)*Q

=90Q-Q^2

MR =dTR /dQ

=90-2Q

So, MR =MC

90-2Q=30

90-30=2Q

60=2Q

30=Q.

So quantity will be 30.

Price will be find by putting Q=30 in inverse demand function.

P=90-Q

=90-30

=60.

SO​​​​​​, price will be $60.

Add a comment
Know the answer?
Add Answer to:
Fill in the Blanks Stackelberg Leader-Follower duopolists face a market demand curve given by P =...
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
  • The market demand curve for a pair of duopolists is given as P=56- 2Q where Q=Q4...

    The market demand curve for a pair of duopolists is given as P=56- 2Q where Q=Q4 + Q2. The constant per unit marginal cost is O for firm 1 and 2 for firm 2. Both firms also have no fixed costs. Find the equilibrium price, quantity and profit for each firm if firm 1 is the Stackelberg leader and firm 2 a follower. Now re-do the computations assuming that firm 2 is the leader and firm 1 the follower. (Round...

  • Consider a market with Stackelberg competition. The inverse demand curve is P = a−b Q, with...

    Consider a market with Stackelberg competition. The inverse demand curve is P = a−b Q, with a=13 and b=3. Firm 1 is the leader and produces at constant marginal costs equal to zero. Firm 2 is the follower and has the cost function: C(q) = cq^2, with c=5. (Note the square on q). What is the equilibrium quantity of firm 1?

  • EC202-5-FY 10 9Answer both parts of this question. (a) Firm A and Firm B produce a homogenous good and are Cournot duopolists. The firms face an inverse market demand curve given by P 10-Q. where...

    EC202-5-FY 10 9Answer both parts of this question. (a) Firm A and Firm B produce a homogenous good and are Cournot duopolists. The firms face an inverse market demand curve given by P 10-Q. where P is the market price and Q is the market quantity demanded. The marginal and average cost of each firm is 4 i. 10 marks] Show that if the firms compete as Cournot duopolists that the total in- dustry output is 4 and that if...

  • The market demand curve for a pair of duopolists is given as P=38- Q where Q=...

    The market demand curve for a pair of duopolists is given as P=38- Q where Q= Q4 + Q2 The constant per unit marginal cost is 14 for firm 1 and 17 for firm 2. Find the equilibrium price, quantity and profit for each firm in both the Cournot model and Bertrand model. (Round your answers to 2 decimal places (e.g., 32.16). Enter zero whenever required.) a) Cournot Equilibrium Price: Equilibrium Quantity for Firm 1: Equilibrium Quantity for Firm 2:...

  • Consider a Stackelberg price-leader duopoly. There are two firms: A leader and a follower. Assume marginal...

    Consider a Stackelberg price-leader duopoly. There are two firms: A leader and a follower. Assume marginal cost to be zero. The market demand is given as: p = a-bq: Show that: (a) The leaders profit-maximizing output q is the same as a monopolist in this market. But, the leaders profit and the market price are lower compared to monopoly. The followers output is one-half the output of the leader. (b)Leaders output is lower than when two firms behave as Cournot...

  • ECON M/C An industry has two firms. The demand curve for the industry's output is given...

    ECON M/C An industry has two firms. The demand curve for the industry's output is given by p = 370 – 24, where q is the total industry output. Each firm has a constant marginal cost equal to 10. Suppose that one firm is the Stackelberg leader and the other firm is the Stackelberg follower. The leader will choose quantity Select one: a. 80 b. 120 O C. 150 O d. 90 O e. None of the above.

  • A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where...

    A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where Q = q1 + q2. Both firms have constant marginal cost MC = 100. (part 2) 1a. What is the Bertrand equilibrium price and quantity in this market? 1b. Suppose Firm 1 is the Stackelberg leader, what is the equilibrium price in this market if Firm 2 plays the follower in this duopoly market? What is the equilibrium quantity? How much does each firm...

  • The market demand curve for a pair of duopolists is given as P=100- Q where Q=...

    The market demand curve for a pair of duopolists is given as P=100- Q where Q= Q1+ Q2. The constant per unit marginal cost is 0 for firm 1 and c for firm 2 where c is some number. Find the equilibrium price, quantity and profit for each firm in the Bertrand model as a function of c a. Equilibrium price equals P=0. Equilibrium quantity is Q1=Q2=10 with both earning Π1=Π2=0. Which one is correct? ---C= 0 OR C>0 b....

  • 15. value: 5.00 points The market demand curve for a pair of duopolists is given as...

    15. value: 5.00 points The market demand curve for a pair of duopolists is given as P=100- Q where Q= Q4 + Q2. The constant per unit marginal cost is 0 for firm 1 and c for firm 2 where c is some number. Find the equilibrium price, quantity and profit for each firm in the Bertrand model as a function of c a. Equilibrium price equals P=0. Equilibrium quantity is Q4=Q2=10 with both earning (4=N2=0 Answer: (Click to select)...

  • 3. Two firms that are engaged in Stackelberg competition face the market inverse demand curve P-100-2Q,...

    3. Two firms that are engaged in Stackelberg competition face the market inverse demand curve P-100-2Q, where Q is the total 22-0.Sqy, what is Firm 1's (the first-mover's) nverse demand une output, q2. Each firm produces the product at a constant marginal cost of $22. If Firm 2's reaction function is P 56-4 OP=100-2(92-22 + 0.050;) OP=88-1.541 P 88-24

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