Question

In: Economics

Suppose there are two firms, Firm A and Firm B that produce identical products in a...

Suppose there are two firms, Firm A and Firm B that produce identical products in a duopoly. Firm A has a constant marginal cost of production, MCA = 10 and Firm B has a constant marginal cost, MCB = 14. The market demand curve for the the product is given by P = 42 − 0.004Q where Q = (QA + QB).

(a) Suppose that Firm A has a first-mover advantage. That is, Firm A is able to choose output before Firm B.

(i) Calculate the equilibrium quantities. Show your work.

(ii) Calculate the price resulting from the equilibrium quantities.

(b) Now suppose that the two firms compete by simultaneously choosing how much output to

produce.

(i) Calculate the Cournot Nash Equilibrium quantities. Show your work and the steps you are following along the way.

(ii) Calculate the price resulting from the Nash equilibrium quantities.

Solutions

Expert Solution


Related Solutions

Suppose there are two firms operating in a market. The firms produce identical products, and the...
Suppose there are two firms operating in a market. The firms produce identical products, and the total cost for each firm is given by C = 10qi, i = 1,2, where qi is the quantity of output produced by firm i. Therefore the marginal cost for each firm is constant at MC = 10. Also, the market demand is given by P = 106 –2Q, where Q= q1 + q2 is the total industry output. The following formulas will be...
Suppose we have two identical firms A and B, selling identical products. They are the only...
Suppose we have two identical firms A and B, selling identical products. They are the only firms in the market and compete by choosing quantities at the same time. The Market demand curve is given by P=200-Q. The only cost is a constant marginal cost of $17. Suppose Firm A produces a quantity of 50 and Firm B produces a quantity of 50. If Firm A decides to increase its quantity by 1 unit while Firm B continues to produce...
Two identical firms compete in a Bertrand duopoly. The firms produce identical products at the same...
Two identical firms compete in a Bertrand duopoly. The firms produce identical products at the same constant marginal cost of MC = $10. There are 2000 identical consumers, each with the same reservation price of $30 for a single unit of the product (and $0 for any additional units). Under all of the standard assumptions made for the Bertrand model, the equilibrium prices would be Group of answer choices $10 for both firms $30 for both firms $50 for both...
Suppose that two identical firms produce widgets and that they are the only firms in the...
Suppose that two identical firms produce widgets and that they are the only firms in the market. Their costs are given by C1 = 60 Q1 and C2 = 60 Q2 where Q1 is the output of Firm 1 and Q2 is the output of Firm 2. Price is determined by the following demand curve: P= 2100 − Q where Q=Q1+Q2 Find the Cournot-Nash equilibrium. Calculate the profit of each firm at this equilibrium. (For all of the following, enter...
Suppose that two identical firms produce widgets and that they are the only firms in the...
Suppose that two identical firms produce widgets and that they are the only firms in the market. Their costs are given by C1=60Q1 and C2=60Q2 where Q1 is the output of Firm 1 and Q2 is the output of Firm 2. Price is determined by the following demand curve: P=2700−Q where Q=Q1+Q2 Find the Cournot-Nash equilibrium. Calculate the profit of each firm at this equilibrium. (For all of the following, enter a numeric response rounded to two decimal places.) When...
Consider an industry that consists of two firms, Alpha and Beta, that produce identical products. Suppose...
Consider an industry that consists of two firms, Alpha and Beta, that produce identical products. Suppose that Alpha seeks to preempt Beta by making its capacity decision a year before Beta’s. Thus, by the time Beta makes its decision, it will have observed Alpha’s choice and must adjust its decision making accordingly. We will assume that each firm always produces at full capacity. Thus, expansion of capacity entails a trade-off. The firm may achieve a larger share of the market,...
Suppose there are two firms, A and B, that make a mess when they produce. Firm...
Suppose there are two firms, A and B, that make a mess when they produce. Firm A can clean up “mess” for $10/unit while firm B can only do it for $20/unit. Suppose further that firm A produces 100 units of mess per week while firm B produces 200 units of mess per week. The government decides that there should be no more than 150 units of mess produced per week. What would the total costs of cleanup be if...
Two companies (A and B) are duopolists that produce identical products. Demand for the products is...
Two companies (A and B) are duopolists that produce identical products. Demand for the products is given by the following demand function: P = 1,000 - QA - QB where QA and QB are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are: TCA = 50,000 + 200QA + .5QA2 TCB = 20,000 + 400QB + QB2 Assume that the firms form a cartel to maximize total industry...
Two companies (A and B) are duopolists that produce identical products. Demand for the products is...
Two companies (A and B) are duopolists that produce identical products. Demand for the products is given by the following demand function:           P = 10,000 - QA - QB where QA and QB are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are:           TCA = 500,000 + 200QA + .5QA2          TCB = 200,000 + 400QB + QB2 a) Assume that the two firms act independently...
There are two companies, X and Y, that produce two identical products, A and B. If...
There are two companies, X and Y, that produce two identical products, A and B. If their labor productivity of the respective products is as follows, determine the following advantages: Product A Product B Company X 100 units per labor hour 30 units per labor hour Company Y 40 units per labor hour 60 units per labor hour Who has the absolute advantage in producing A: ______; Who has the absolute advantage in producing B: ______; Who has the comparative...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT