Question

In: Economics

Suppose there are two firms in an instant coffee market. Market demand curve is given by...

Suppose there are two firms in an instant coffee market. Market demand curve is given by P = 100 – 2Q, and marginal cost of production for both firms are equal and constant at m=12.

a) Find the output that will maximize firm’s profit if two firms choose quantity simultaneously. What is the price that they will charge and how much is the profit of each firm?

b) Suppose the quantity game as in (b) is played by the firm over and over multiple times. Compute the revenue matrix for these firms where two actions are possible taken by the firm is either cooperative or non-cooperative. Based on the resulting matrix, calculate the possible discount factor value the two firms continue to work together.

Solutions

Expert Solution


Related Solutions

Suppose there are two firms in an instant coffee market. Market demand curve is given by...
Suppose there are two firms in an instant coffee market. Market demand curve is given by P = 100 – 2Q, and marginal cost of production for both firms are equal and constant at m=12. a) Find the output that will maximize firm’s profit if the two firms choose price simultaneously. What is the price that the firm will charge and how much is the profit of each firm? b) Find the output that will maximize firm’s profit if two...
Suppose there are two firms in an instant coffee market. Market demand curve is given by...
Suppose there are two firms in an instant coffee market. Market demand curve is given by P = 100 – 2Q, and marginal cost of production for both firms are equal and constant at m=12. a) Find the output that will maximize firm’s profit if the two firms choose price simultaneously. What is the price that the firm will charge and how much is the profit of each firm? ( 10 marks) b) Find the output that will maximize firm’s...
The market demand curve is given by p = 100 - Q Two firms, A and...
The market demand curve is given by p = 100 - Q Two firms, A and B, are competing in the Cournot fashion. Both firms have the constant marginal cost of 70. Suppose firm A receives a new innovation which reduces its marginal cost to c. Find the cutoff value of c which makes this innovation "drastic".
Suppose that market demand is given by ? = 180 − ?/3. The two identical firms...
Suppose that market demand is given by ? = 180 − ?/3. The two identical firms in the market both have marginal costs of 20. Draw the reaction curves on a graph and find the Cournot equilibrium price and quantities.
The market demand curve for mineral water is P=15-Q. Suppose that there are two firms that...
The market demand curve for mineral water is P=15-Q. Suppose that there are two firms that produce mineral water, each with a constant marginal cost of 3 dollars per unit. Suppose that both firms make their production decisions simultaneously. How much each firm should produce to maximize its profit? Calculate the market price. The quantity produced by firm 1 is denoted by Q1 The quantity produced by firm 2 is denoted by Q2. The total quantity produced in the market...
The inverse market demand curve is P = 170 – 4Q. Two firms in this market...
The inverse market demand curve is P = 170 – 4Q. Two firms in this market are evenly splitting the output. Each firm produces the product at a constant marginal cost of $10. Which of the following statements is TRUE? I. If one firm produces 2 more units of output, its profits will rise to $864. II. If neither firm cheats, each firm will earn a profit of $800. III. If one firm produces 3 more units of output, the...
Consider an industry which has a market demand curve given by P=260−2Q. There are two firms...
Consider an industry which has a market demand curve given by P=260−2Q. There are two firms who are Cournot competitors. Firm 1 has marginal costc1=80 and firm2 has marginal costc2=20. (a) [10 points] Find the Nash equilibrium quantities for these two firms. (b) [20 points] Use the quantities you found in part (a) to find the profits for each firm and the market-clearing price. (c) [20 points] Suppose these firms decide to form a cartel and collude. The firms will...
Suppose the coffee market in the US is given by the following equations for supply and demand:
Suppose the coffee market in the US is given by the following equations for supply and demand: QS = 9 + 0.5p QD = 12 − p where Q is the quantity in millions of tons per year and p is the price per pound.(a) Calculate the equilibrium price and quantity of coffee.(b) At the equilibrium price, what is the price elasticity of demand?(c) Suppose a tax of $0.75 is imposed on coffee producers. Calculate the new equilibrium price and...
Suppose there are two firms making the same product. The demand curve for the product is...
Suppose there are two firms making the same product. The demand curve for the product is Q = 500 - 5P. Suppose both firms have to select how many items they make at the same time. Once they produce they make the items, they take them to market and sell them for the market clearing price. Assume both firms have the same cost function C = 100 + 10q. What is the optimal output for each firm? What is each...
Suppose there are two firms that produce an identical product. The demand curve for their product...
Suppose there are two firms that produce an identical product. The demand curve for their product is represented by P=60-2Q, where Q is the total quantity produced by the two firms. The marginal cost of production is zero and there are no fixed costs. A. Refer to Scenario: Oligopoly. Suppose both firms choose their individual quantities q1 (firm 1) and q2 (firm 2) simultaneously and independently (so Q = q1 + q2). What is the unique Nash equilibrium price? B....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT