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Chapter 12: Q1. (page 497)

Suppose all firms in a monopolistically competitive industry were merged into one large firm. Would that new firm produce as many different brands? Would it produce only a single brand? Explain.

Short Answer

Expert verified

Yes, after the merger, many different brands will earn more profits from different customers.

Step by step solution

01

Step 1. Explanation

The competitive monopolist firms produce differentiated products. Each firm in this market spends on selling costs, i.e., advertisement to make their product known to everyone. After the merger, there will be one firm managing the different brands of the different firms, or there will be coordination issues.

The decision to produce different brands is to take advantage of the loyal customers. A single brand will not be able to cater to the different tastes and preferences of the customers. Continuing with various brands will increase the market size for the single firm. The single firm acting as a monopolist will have the power to control the prices. This price discrimination would result in higher profits for the firm. Thus, the monopolist can earn more profit by selling different brands and also by discriminating the price.

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Most popular questions from this chapter

Consider two firms facing the demand curve P = 50 - 5Q, where Q = Q1 + Q2. The firms’ cost functions are C1(Q1) = 20 + 10 Q1 and C2(Q2) = 10 + 12 Q2.

  1. Suppose both firms have entered the industry. What is the joint profit-maximizing level of output? How much will each firm produce? How would your answer change if the firms have not yet entered the industry?
  2. What is each firm’s equilibrium output and profit if they behave noncooperatively? Use the Cournot model. Draw the firms’ reaction curves and show the equilibrium.
  3. How much should Firm 1 be willing to pay to purchase Firm 2 if collusion is illegal but a takeover is not?

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 the output of Firm 2. Price is determined by the following demand curve P = 300 – Q where Q = Q1 + Q2.

  1. Find the Cournot-Nash equilibrium. Calculate the profit of each firm at this equilibrium.
  2. Suppose the two firms form a cartel to maximize joint profits. How many widgets will be produced? Calculate each firm’s profit.
  3. Suppose Firm 1 were the only firm in the industry. How would market output and Firm 1’s profit differ from that found in part (b) above?
  4. Returning to the duopoly of part (b), suppose Firm 1 abides by the agreement, but Firm 2 cheats by increasing production. How many widgets will Firm 2 produce? What will be each firm’s profits?

Suppose all firms in a monopolistically competitive industry were merged into one large firm. Would that new firm produce as many different brands? Would it produce only a single brand? Explain.

Suppose that two competing firms, A and B, produce a homogeneous good. Both firms have a marginal cost of MC = \(50. Describe what would happen to output and price in each of the following situations if the firms are at (i) Cournot equilibrium, (ii) collusive equilibrium, and (iii) Bertrand equilibrium.

  1. Because Firm A must increase wages, its MC increases to \)80.

  2. The marginal cost of both firms increases.

  3. The demand curve shifts to the right.

A monopolist can produce at a constant average (and marginal) cost of AC = MC = \(5. It faces a market demand curve given by Q = 53 - P.

  1. Calculate the profit-maximizing price and quantity for this monopolist. Also calculate its profits.
  2. Suppose a second firm enters the market. Let Q1 be the output of the first firm and Q2 be the output of the second. Market demand is now given by

Q1 + Q2 = 53 - P

Assuming that this second firm has the same costs as the first, write the profits of each firm as functions of Q1 and Q2.

c. Suppose (as in the Cournot model) that each firm chooses its profit maximizing level of output on the assumption that its competitor’s output is fixed. Find each firm’s “reaction curve” (i.e., the rule that gives its desired output in terms of its competitor’s output).

d. Calculate the Cournot equilibrium (i.e., the values of Q1 and Q2 for which each firm is doing as well as it can given its competitor’s output). What are the resulting market price and profits of each firm?

e. Suppose there are N firms in the industry, all with the same constant marginal cost, MC = \)5. Find the Cournot equilibrium. How much will each firm produce, what will be the market price, and how much profit will each firm earn? Also, show that as N becomes large, the market price approaches the price that would prevail under perfect competition.
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