Question

The demand function facing a duopoly is P=1000-3(q1 + q2 ). Suppose marginal cost is 10...

The demand function facing a duopoly is P=1000-3(q1 + q2 ). Suppose marginal cost is 10 for each firm and fixed costs are 50 for each. Find the optimal outputs, price, and profits when firm 1 is a von Stackelberg leader. Show your work.

Homework Answers

Answer #1

please check the calculation

If you like the work please appreciate thank you !

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
Suppose duopolists face the market inverse demand curve P = 100 - Q, Q = q1...
Suppose duopolists face the market inverse demand curve P = 100 - Q, Q = q1 + q2, and both firms have a constant marginal cost of 10 and no fixed costs. If firm 1 is a Stackelberg leader and firm 2's best response function is q2 = (100 - q1)/2, at the Nash-Stackelberg equilibrium firm 1's profit is $Answer
Given the Inverse Demand function as P = 1000-(Q1+Q2) and Cost Function of firms as Ci(Qi)...
Given the Inverse Demand function as P = 1000-(Q1+Q2) and Cost Function of firms as Ci(Qi) = 4Qi calculate the following values. A. In a Cournot Oligopoly (PC, QC, πC) i. Find the Price (Pc) in the market, ii. Find the profit maximizing output (Qi*) and iii. Find the Profit (πiC) of each firm. B. In a Stackelberg Oligopoly (PS, QS, πS), i. Find the Price (PS) in the market, ii. Find the profit maximizing output of the Leader (QL*)...
The market demand function is Q=10,000-1,000p. Each firm has a marginal cost of m=$0.16. Firm 1,...
The market demand function is Q=10,000-1,000p. Each firm has a marginal cost of m=$0.16. Firm 1, the leader, acts before Firm 2, the follower. Solve for the Stackelberg-Nash equilibrium quantities, prices, and profits. Compare your solution to the Cournot-Nash equilibrium. The Stackelberg-Nash equilibrium quantities are: q1=___________ units and q2=____________units The Stackelberg-Nash equilibrium price is: p=$_____________ Profits for the firms are profit1=$_______________ and profit2=$_______________ The Cournot-Nash equilibrium quantities are: q1=______________units and q2=______________units The Cournot-Nash equilibrium price is: p=$______________ Profits for the...
6: When we have a homogeneous product duopoly, each firm has constant marginal cost of 10....
6: When we have a homogeneous product duopoly, each firm has constant marginal cost of 10. The market inverse demand curve is p = 250 – 2Q where Q = q1 + q2 is the sum of the outputs of firms 1 and 2, and p is the price of the good. Marginal and average cost for each firm is 10. (a) In this market, what are the Cournot and Bertrand equilibrium quantities and prices? Will the firms collude in...
The inverse market demand in a homogeneous-product Cournot duopoly is P=200-3(Q1+Q2) and costs are C1(Q1)=26Q1 and...
The inverse market demand in a homogeneous-product Cournot duopoly is P=200-3(Q1+Q2) and costs are C1(Q1)=26Q1 and C2(Q2)=32Q2, find the optimal output, price, and maximized profit if the two oligopolists formed a cartel whose MC is the average between the oligopolists’ marginal costs. Assume the cartel splits profit equally among oligopolists.
The inverse market demand in a homogeneous-product Cournot duopoly is P = 200 – 3(Q1 +...
The inverse market demand in a homogeneous-product Cournot duopoly is P = 200 – 3(Q1 + Q2) and costs are C1(Q1) = 26Q1 and C2(Q2) = 32Q2. a. Determine the reaction function for each firm. Firm 1: Q1 =  -  Q2 Firm 2: Q2 =  -  Q1 b. Calculate each firm’s equilibrium output. Firm 1: Firm 2: c. Calculate the equilibrium market price. $ d. Calculate the profit each firm earns in equilibrium. Firm 1: $ Firm 2: $
Two firms compete as a Stackelberg duopoly. Firm 1 is the market leader. The inverse market...
Two firms compete as a Stackelberg duopoly. Firm 1 is the market leader. The inverse market demand they face is P = 62 - 2Q, where Q=Q1+Q2. The cost function for each firm is C(Q) = 6Q. Given that firm 2's reaction function is given by Q2 = 14 - 0.5Q1, the optimal outputs of the two firms are: a. QL = 9.33; QF = 9.33. b. QL = 14; QF = 7. c. QL = 6; QF = 3....
Question 4 Consider the following game. Firm 1, the leader, selects an output, q1, after which...
Question 4 Consider the following game. Firm 1, the leader, selects an output, q1, after which firm 2, the follower, observes the choice of q1 and then selects its own output, q2. The resulting price is one satisfying the industry demand curve P = 200 - q1 - q2. Both firms have zero fixed costs and a constant marginal cost of $60. a. Derive the equation for the follower firm’s best response function. Draw this equation on a diagram with...
Consider the Stackelberg model with demand function p(q_1, q_2)=10-q_1-q_2p(q1​,q2​)=10−q1​−q2​ and cost functions c_1(q_1)=q_1c1​(q1​)=q1​, c_2(q_2)=2q_2c2​(q2​)=2q2​. Draw the...
Consider the Stackelberg model with demand function p(q_1, q_2)=10-q_1-q_2p(q1​,q2​)=10−q1​−q2​ and cost functions c_1(q_1)=q_1c1​(q1​)=q1​, c_2(q_2)=2q_2c2​(q2​)=2q2​. Draw the game tree and solve for the pure SPE. Write down each firm's strategy in the pure SPE here: Firm 1:, Firm 2:
Consider a duopoly with each firm having different marginal costs. Each firm has a marginal cost...
Consider a duopoly with each firm having different marginal costs. Each firm has a marginal cost curve MCi=20+Qi for i=1,2. The market demand curve is P=26−Q where Q=Q1+Q2. What are the Cournot equilibrium quantities and price in this market? What would be the equilibrium price in this market if the two firms acted as a profit-maximizing cartel ((i.e., attempt to set prices and outputs together to maximize total industry profits ))? What would be the equilibrium price in this market...