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 is denoted by Q. The market price is denoted by P.
The market demand curve for mineral water is P=15-Q. Suppose that there are two firms that...
In Little Town, there are two suppliers of mineral water: A and B. Mineral water is considered a homogenous good. Let pA and pB denote the price and qA and qB the quantity sold by firms A and B, respectively. Suppose that the municipality provides all the water for free, so firms don't bear any production cost. The inverse demand function for mineral water is given by P=12-1/3Q where Q=qA + qB denotes the aggregate supply of mineral water. Suppose...
Part 1 Consider a market with a demand curve given (in inverse form) by P(Q) = 80 – 0.25Q, where Q is total market output and P is the price of the good. Two firms compete in this market by simultaneously choosing quantities q1 and q2 (where q1 + q2 = Q). This is an example of Choose one: A. Stackelberg competition. B. Cournot competition. C. Bertrand competition. D. perfect competition.Part 2 Now suppose the cost of production is constant at $50.00 per unit (and is the same...
2. Suppose the market demand curve is P = 40 − 3Q and all firms in the industry face M C = 4 and have no fixed costs. For each of the following situations, calculate the five items: Market Price , Quantity per firm ,Profits per firm ,Consumer Surplus ,Deadweight Loss (a) Uniform pricing monopolist P = Q = π = CS = DWL = (b) Cournot Duopoly P= Q1 = Q2 = π 1 = π2...
Two firms figure out that the market inverse demand is P= 81 - Q. Each firm has the cost C(Q)= Q^2. 1. Find the marginal revenue for the individual firms. 2. What is the reaction function for each firm? 3.What is the equilibrium quantity? 4. What is the market price? 5. How much profit does each firm make? 6. In the long-run what do you expect to happen in a market with profits like this? Find the optimal production for...
Suppose there are two firms, 1 and 2, competing in quantity. The market demand is p = 15-(q1 +q2), where q1 and q2 are the quantities produced by rms 1 and 2. Both rms have constant marginal cost c1 = c2 = 3. (a) [10] Find the Cournot equilibrium of this market. Compute the consumer surplus in equilibrium. b) Now suppose firms 1 and 2 merge, so that they become a monopolist with demand function p = 15 ? q,...
A duopoly faces the following demand curve, Q = 30 - P (also P = 30 - Q). Firm 1 can produce Q1, and firm 2 can produce Q2 so that Q = Q1 + Q2. Both firms have zero marginal cost. a. Find the equilibrium price and quantity if the firms collude and behave monopolistically. b. Find the equilibrium price and quantity for each firm if they behave as Cournot competitors. c. Find the equilibrium price and quantity for...
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 = 8qi, 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 = 8. Also, the market demand is given by P = 56 –4Q, where Q= q1 + q2 is the total industry output. The following formulas will be...
Consider two symmetric Cournot duopolists who face inverse market demand of p = 140−Q. Suppose that they each have long-run cost functions Ci(qi) = 20qi for i = 1, 2. (a) Draw a graph containing the demand and marginal cost curves. (b) What are the efficient quantity and price, QC and pC? How much total surplus is generated at this quantity and price? (c) What are the monopoly quantity and price, QM and pM ? How much profit would a...
Suppose that the (inverse) market demand function for wax paper is P=400-2Q where Q is total industry output. There are only two firms, Firm1 and Firm 2, that produce wax paper. Thus, Q=q1+q2. Each firm has no fixed cost but a constant marginal cost of production equals $40. (a) Suppose that the two firms decide to form a cartel. Calculate the output quantity for Firm 1 (b) Suppose that the two firms decide to form a cartel. Calculate the profit...
Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P = 300 – 4(Q1 + Q2), where P is the market price, Q1 is the quantity demanded by Firm 1, and Q2 is the quantity demanded by Firm 2. The marginal cost and average cost for each firm is constant; AC=MC = $74. The cournot-duopoly equilibrium profit for each firm is