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Consider an industry with two products A and B. There are 100 consumers who value product A at vA=160 and product B at vB=290. The incumbent firm 1 produces both goods. Its marginal cost of production for good A is cA=90 and cB1=120 for good B. Suppose the incumbent firm 1 offers the two products as a bundle at a price p1. There is also a potential new entrant, firm 2, who only produces good B at a marginal cost of cB2>0. This firm has to pay K=20 to enter the market. If it enters, it set a price p2 for good B and competes with the incumbent in prices for the consumers. Consider a game where the entrant decides whether to enter or not. Then if entry occurs, firms compete; otherwise firm 1 remains a monopolist. Which of the following statements is correct? [There may be more than one correct statement.] Suppose firm 2 has entered the market. If cB2=70, consumers buy from the incumbent at an equilibrium price of 220. Suppose firm 2 has entered the market. If cB2=30, consumer buy from the entrant at an equilibrium price of 50. The entrant makes a profit of 24,000. Suppose firm 2 has not entered the market.Monopoly profits of firm 1 are 45,000. Suppose firm 2 has not entered the market. Monopoly profits of firm 1 are 24,000. If cB2<50, then entry always occurs. If cB2=20 and K=2,000, then entry occurs. If cB2=40 and K=500, then entry occurs. If K=4000 and cB2<10, then entry occurs. If there is no cost of entry for the entrant (K=0), the incumbent remains a monopolist if cB2=60. If there is no cost of entry for the entrant (K=0), the incumbent remains a monopolist if cB2=40.

Question

Consider an industry with two products A and B. There are 100 consumers who value product A at vA=160 and product B at vB=290.

The incumbent firm 1 produces both goods. Its marginal cost of production for good A is cA=90 and cB1=120 for good B. Suppose the incumbent firm 1 offers the two products as a bundle at a price p1.

There is also a potential new entrant, firm 2, who only produces good B at a marginal cost of cB2>0. This firm has to pay K=20 to enter the market. If it enters, it set a price p2 for good B and competes with the incumbent in prices for the consumers.

Consider a game where the entrant decides whether to enter or not. Then if entry occurs, firms compete; otherwise firm 1 remains a monopolist.

Which of the following statements is correct? [There may be more than one correct statement.]

Suppose firm 2 has entered the market. If cB2=70, consumers buy from the incumbent at an equilibrium price of 220.

Suppose firm 2 has entered the market. If cB2=30, consumer buy from the entrant at an equilibrium price of 50. The entrant makes a profit of 24,000.

Suppose firm 2 has not entered the market.Monopoly profits of firm 1 are 45,000.

Suppose firm 2 has not entered the market. Monopoly profits of firm 1 are 24,000.

If cB2<50, then entry always occurs.

If cB2=20 and K=2,000, then entry occurs.

If cB2=40 and K=500, then entry occurs.

If K=4000 and cB2<10, then entry occurs.

If there is no cost of entry for the entrant (K=0), the incumbent remains a monopolist if cB2=60.

If there is no cost of entry for the entrant (K=0), the incumbent remains a monopolist if cB2=40.

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Solution 1

To answer these statements, we need to understand the concept of market competition, entry costs, and marginal costs.

  1. "Suppose firm 2 has entered the market. If cB2=70, consumers buy from the incumbent at an equilibrium price of 220." - This statement could be correct if the incumbent firm 1 can offer a lower price than firm 2 while still making a profit. However, without knowing the exact pricing strategy of firm 1, we cannot definitively say this is correct.

  2. "Suppose firm 2 has entered the market. If cB2=30, consumer buy from the entrant at an equilibrium price of 50. The entrant makes a profit of 24,000." - This statement could be correct if firm 2 can offer a lower price than firm 1 and still make a profit. The profit calculation would depend on the number of units sold, which is not provided.

  3. "Suppose firm 2 has not entered the market. Monopoly profits of firm 1 are 45,000." - This statement could be correct if firm 1 is able to sell enough units at a high enough price to achieve this profit. However, without knowing the number of units sold or the price, we cannot definitively say this is correct.

  4. "Suppose firm 2 has not entered the market. Monopoly profits of firm 1 are 24,000." - Similar to the previous statement, this could be correct depending on the number of units sold and the price.

  5. "If cB2<50, then entry always occurs." - This statement could be correct if the cost of producing good B is less than the price at which it can be sold, making entry profitable. However, this also depends on the entry cost K.

  6. "If cB2=20 and K=2,000, then entry occurs." - This statement could be correct if the potential profit from entering the market outweighs the entry cost.

  7. "If cB2=40 and K=500, then entry occurs." - Similar to the previous statement, this could be correct if the potential profit from entering the market outweighs the entry cost.

  8. "If K=4000 and cB2<10, then entry occurs." - This statement could be correct if the potential profit from entering the market outweighs the entry cost.

  9. "If there is no cost of entry for the entrant (K=0), the incumbent remains a monopolist if cB2=60." - This statement could be correct if the cost of producing good B is higher than the price at which it can be sold, making entry unprofitable.

  10. "If there is no cost of entry for the entrant (K=0), the incumbent remains a monopolist if cB2=40." - Similar to the previous statement, this could be correct if the cost of producing good B is higher than the price at which it can be sold, making entry unprofitable.

In conclusion, without more specific information about the pricing strategies of the firms and the number of units sold, it is difficult to definitively say which of these statements are correct.

This problem has been solved

Solution 2

To answer these statements, we need to understand the concept of price competition and market entry in economics.

  1. "Suppose firm 2 has entered the market. If cB2=70, consumers buy from the incumbent at an equilibrium price of 220." - This statement could be correct if the incumbent firm 1 can offer a lower price than firm 2 while still making a profit. However, without knowing the price set by firm 2, we cannot definitively say this is correct.

  2. "Suppose firm 2 has entered the market. If cB2=30, consumer buy from the entrant at an equilibrium price of 50. The entrant makes a profit of 24,000." - This statement could be correct if firm 2 can offer a lower price than firm 1 and still make a profit. However, without knowing the price set by firm 1, we cannot definitively say this is correct.

  3. "Suppose firm 2 has not entered the market. Monopoly profits of firm 1 are 45,000." - This statement could be correct if firm 1 can sell both products at a price that covers their costs and yields a profit of 45,000. However, without knowing the price set by firm 1, we cannot definitively say this is correct.

  4. "Suppose firm 2 has not entered the market. Monopoly profits of firm 1 are 24,000." - This statement could be correct if firm 1 can sell both products at a price that covers their costs and yields a profit of 24,000. However, without knowing the price set by firm 1, we cannot definitively say this is correct.

  5. "If cB2<50, then entry always occurs." - This statement could be correct if the cost of producing product B for firm 2 is less than 50, making it profitable for them to enter the market. However, this also depends on the entry cost and the price they can sell product B for.

  6. "If cB2=20 and K=2,000, then entry occurs." - This statement could be correct if the cost of producing product B for firm 2 is 20 and the cost of entering the market is 2,000, making it profitable for them to enter the market. However, this also depends on the price they can sell product B for.

  7. "If cB2=40 and K=500, then entry occurs." - This statement could be correct if the cost of producing product B for firm 2 is 40 and the cost of entering the market is 500, making it profitable for them to enter the market. However, this also depends on the price they can sell product B for.

  8. "If K=4000 and cB2<10, then entry occurs." - This statement could be correct if the cost of producing product B for firm 2 is less than 10 and the cost of entering the market is 4,000, making it profitable for them to enter the market. However, this also depends on the price they can sell product B for.

  9. "If there is no cost of entry for the entrant (K=0), the incumbent remains a monopolist if cB2=60." - This statement could be correct if the cost of producing product B for firm 2 is 60 and there is no cost of entering the market, but firm 2 cannot offer a lower price than firm 1, allowing firm 1 to remain a monopolist.

  10. "If there is no cost of entry for the entrant (K=0), the incumbent remains a monopolist if cB2=40." - This statement could be correct if the cost of producing product B for firm 2 is 40 and there is no cost of entering the market, but firm 2 cannot offer a lower price than firm 1, allowing firm 1 to remain a monopolist.

In conclusion, without knowing the prices set by the firms, it is difficult to definitively say which statements are correct. However, based on the information given, these are the possible scenarios.

This problem has been solved

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