Question

In: Economics

The inverse demand function in a market is given by p=32-Q where Q is the aggregate quantity produced.

 

The inverse demand function in a market is given by p=32-Q where Q is the aggregate quantity produced. The market has 3 identical firms with marginal and average costs of 8. These firms engage in Cournot competition.

 

  1. a) How much output does each firm produce?

  2. b) What is the equilibrium price in the market?

  3. c) How much profit does each firm make?

  4. d) Consider a merger between two firms. Assuming that due to efficiency gains from the merger, the merged firm is able to produce at a marginal and average cost of 5. However, the non-merged firm (outsider) still produces at a marginal and average cost of 8. How much does each firm produce after the merger?

  5. e) Demonstrate whether or not this merger is profitable for the parties involved.

  6. f) Demonstrate how the merger affects the profits of the outsider not involved in the merger.

  7. g) How does the merger affect consumer surplus?

Solutions

Expert Solution


Related Solutions

Consider a market where inverse demand is given by P = 40 − Q, where Q...
Consider a market where inverse demand is given by P = 40 − Q, where Q is the total quantity produced. This market is served by two firms, F1 and F2, who each produce a homogeneous good at constant marginal cost c = $4. You are asked to analyze how market outcomes vary with industry conduct: that is, the way in which firms in the industry compete (or don’t). First assume that F1 and F2 engage in Bertrand competition. 1....
Consider a market where the inverse demand function is p =100 – Q, Q = q1+q2....
Consider a market where the inverse demand function is p =100 – Q, Q = q1+q2. Both firms in the market have a constant marginal cost of $10 and no fixed costs. Suppose these two firms are engaged in Cournot competition. Now answer the following questions: a)      Define best response function. Find the best response function for each firm. b)      Find Cournot-Nash equilibrium quantities and price. c)      Compare Cournot solution with monopoly and perfect competitive solutions.
Consider a market where the inverse demand function is P = 100 - Q. All firms...
Consider a market where the inverse demand function is P = 100 - Q. All firms in the market have a constant marginal cost of $10, and no fixed costs. Compare the deadweight loss in a monopoly, a Cournot duopoly with identical firms, and a Bertrand duopoly with homogeneous products.
Two firms compete in a market with inverse demand P(Q) = a − Q, where the...
Two firms compete in a market with inverse demand P(Q) = a − Q, where the aggregate quantity is Q = q1 + q2. The profit of firm i ∈ {1, 2} is πi(q1, q2) = P(Q)qi − cqi , where c is the constant marginal cost, with a > c > 0. The timing of the game is: (1) firm 1 chooses its quantity q1 ≥ 0; (2) firm 2 observes q1 and then chooses its quantity q2 ≥...
The market (inverse) demand function for a homogenous good is P(Q) = 10 – Q. There...
The market (inverse) demand function for a homogenous good is P(Q) = 10 – Q. There are three firms: firm 1 and 2 each have a total cost of Ci(qi) = 4qi for i ∈ {1.2}. and firm 3 has a total cost of C3(q3) = 2q3. The three firms compete by setting their quantities of production, and the price of the good is determined by a market demand function given the total quantity. Calculate the Nash equilibrium in this...
Consider a monopolistic market with the following inverse demand curve: P=z(32-Q) where z is the quality...
Consider a monopolistic market with the following inverse demand curve: P=z(32-Q) where z is the quality level. Suppose that the marginal production cost of output is independent of quality and equal to 0. The cost of quality is C(z)=8z2. a) (6 pts.) Calculate the production level that would maximize profits. b) (7 pts.) Calculate the quality level that would maximize profits.
Consider the following industry where the inverse market demand is given by the function: p=180-Y where...
Consider the following industry where the inverse market demand is given by the function: p=180-Y where Y is the total market output. There are two firms in the market, each has a total cost function: ci (yi)=3(yi)2 where i=1,2 is the label of the firm. Suppose the firms act as Cournot duopolists. What output level will each firm produce in order to maximize profits?.
A monopoly has an inverse demand function given by p = 120 - Q and a...
A monopoly has an inverse demand function given by p = 120 - Q and a constant marginal cost of 10. a) Graph the demand, marginal revenue, and marginal cost curves. b) Calculate the deadweight loss and indicate the area of the deadweight loss on the graph. c) If this monopolist were to practice perfect price discrimination, what would be the quantity produced? d) Calculate consumer surplus, producer surplus, and deadweight loss for this monopolist under perfect price discrimination.
The inverse market demand curve for a duopoly market is p=14-Q=14-q₁-q₂, where Q is the market...
The inverse market demand curve for a duopoly market is p=14-Q=14-q₁-q₂, where Q is the market output, and q₁ and q₂ are the outputs of Firms 1 and 2, respectively. Each firm has a constant marginal cost of 2 and a fixed cost of 4. Consequently, the Nash-Cournot best response curve for Firm 1 is q₁=6-q₂/2. A. Create a spreadsheet with Columns titled q₂, BR₁, Q, p, and Profit₁. In the first column, list possible quantities for Firm 2, q₂,...
The inverse market demand for a homogeneous good is given by p = 1 – Q,...
The inverse market demand for a homogeneous good is given by p = 1 – Q, where p denotes the price and Q denotes the total quantity of the good. The good is supplied by three quantity-setting firms (Firm 1, Firm 2, and Firm 3) competing à la Cournot, each producing at a constant marginal cost equal to c > 0. a) Derive the best reply of Firm 1. b) Compute the Cournot-Nash equilibrium quantity and profits of Firm 1....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT