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2] Two firms, A and B, behave as Bertrand competitors. Their products are differentiated, leading to the following demand and total cost equations:

Firm A Demand: QA = 200  . PA + PB Firm A Total Cost: TCA = 50·QA

Firm B Demand: QB = 200 .  PB + PA Firm B Total Cost: TCB = 50·QB

In this situation, the price-reaction functions become:

Firm A: PA = 125 + 0.5PB Firm B: PB = 125 + 0.5PA

With respect to the firm demand equations, explain the rationale for (i) the increase in own price leading to a decrease in the firm's own quantity and (ii) the increase in the other firm's price increasing the firm's own quantity. Find the Bertrand/Nash equilibrium prices. Determine each firm's profit at the Bertrand prices.

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Nusrat Fatima
Nusrat FatimaLv10
28 Sep 2019

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Related questions

Homework help and study guide help, all multiple choice

A monopolist:

A) can sell as much as it wants at the chosen price because it is the only seller.

B) can increase the price only if it is willing to decrease the quantity sold.

C) can increase the price and the quantity sold at the same time.

D) is not restricted by the law of demand.

A monopolistically competitive firm:

A) produces where marginal revenue equals marginal cost and charges the price consumers are willing to pay as given by the demand curve.

B) produces where marginal cost equals average total cost and charges the price consumers are willing to pay as given by the demand curve.

C) chooses price and quantity based on where the marginal cost curve meets the demand curve.

D) chooses price and quantity based on where the average total cost curve meets the demand curve.

21) Oligopoly is A) like a monopoly because there are barriers to entry. B) like perfect competition because oligopoly firms all sell homogeneous goods. C) like monopolistic competition because oligopoly firms all sell differentiated goods D) like perfect competition because there are many firms in the industry
ECON 1102 (Microeconomics) Test 4 (043015)


In ________ market structure, a firm's output depends ________.

A) an oligopoly; only on its own marginal revenue and marginal cost curves

B) a monopolistically competitive; in part on its competitors' price and quantity decisions

C) an oligopoly; in part on its competitors' price and quantity decisions

D) a monopolistically competitive; only on its marginal revenue curve

1. All of the following are characteristics of long-run equilibrium for firms in a monopolistically competitive market except:

A. price equals marginal cost.

B. price equals average total cost.

C. price exceeds the minimum of the average total cost.

D. marginal cost equals marginal revenue.

2. All of the following are strategies a firm with market power can adopt to increase its profits over time except:

A. erecting barriers to entry.

B. setting price equal to the marginal costs of production.

C. mergers with, and acquisitions of, competing firms.

D. influencing the regulatory process.

3. Assume that for a particular firm's output price = $80, marginal cost = $30, average total cost = $25. Based on this information, the firm's Lerner Index is equal to:

A. 0.313.

B. 0.625.

C. 0.6.

D. 0.375.

4. Assume that when the price is $20, the quantity demanded is 9 units, and when the price is $19, the quantity demanded is 10 units. Based on this information, what is the marginal revenue resulting from an increase in output from 9 units to 10 units?

A. $10

B. $1

C. $19

D. $20

5. Because firms produce a differentiated product, each of the firms in a monopolistically competitive market faces a demand curve that is:

A. perfectly elastic.

B. downward sloping.

C. perfectly inelastic.

D. perfectly elastic or perfectly inelastic depending on whether the firm's output is a luxury or a necessity.

6. Suppose a monopolist is producing a level of output such that MR > MC. What should the firm do to maximize its profits?

A. The firm should increase output.

B. The firm should increase the price.

C. The firm should do nothing - it wants to maximize the difference between MR and MC in order to maximize its profits.

D. The firm should hire less labor.

7. Suppose the firms in a monopolistically competitive market are earning positive economic profits. What will happen to move the market to its long-run equilibrium?

A. The demand curves faced by firms in the market will shift to the right.

B. The firms' demand curves will become less elastic.

C. More close substitutes will appear in the market.

D. Some firms will exit the market if they can't cover all of their fixed and variable costs.

8. The Lerner Index is a measure of market power that focuses on:

A. the difference between a firm's product price and its marginal costs of production.

B. the share of the market controlled by the X largest firms in the market.

C. the ratio of the price of a firm's product to the price elasticity of demand for the product.

D. the sum of the squares of the market share of each firm in an industry.

9. The measure of market power that focuses on the share of the market controlled by the X largest firms in the market is known as:

A. the Lerner Index.

B. the Herfindahl-Hirschman Index.

C. the Minimum-Efficient Scale Index.

D. a concentration ratio.

10. The monopoly characteristic of monopolistically competitive firms ensures that such firms will earn positive economic profits over the long-run.

a. True

b. False

PLEASE ANSWER EACH QUESTION WITH A, B, C, and D. NOT ANSWERING ALL QUESTIONS OR INCORRECT ANSWERS WILL RESULT IN A THUMBS DOWN.

Question 1: Which of the following is not needed for price discrimination to be possible?

   

A. The firm must have market power.
   

B. The firm must be able to prevent resale and arbitrage.
   

C. The firm must eventually learn about its customers' demands.
   

D. The firm's customers must have different demand curves.

 

Question 2: Relative to standard monopoly pricing, first-degree price discrimination results in:

  A.

higher consumer surplus, higher producer surplus, and higher total surplus.
  B.

lower consumer surplus, higher producer surplus, and higher total surplus.
  C.

lower consumer surplus, higher producer surplus, and lower total surplus.
  D.

lower consumer surplus, lower producer surplus, and lower total surplus.

 

Question 3: Relative to perfect competition, first-degree price discrimination results in:

   

A. higher consumer surplus, higher producer surplus, and higher total surplus.
   

B. lower consumer surplus, higher producer surplus, and equal total surplus.
   

C. lower consumer surplus, higher producer surplus, and equal total surplus.
   

D. lower consumer surplus, lower producer surplus, and lower total surplus.

Question 4: If market demand is P = 100 - Q and the firm has a constant marginal cost of 20, then with first-degree price discrimination, the firm's producer surplus will be:

A.

$800.
B.

$1,600.
C.

$2,400.
D.

$3,200.

Question 5: For third-degree discrimination to be possible, which of the following features is not required?

   

A. market power
   

B. prevention of resale
   

C. identification of each customer's demand before purchase
   

D. customers with different demand curves

 

Question 6: A golf course has frequent players whose demand is Qf = 260 - 0.4P and infrequent players whose demand is Qi = 10 - 0.1P. The combined market demand is Q = 34 - 0.4P. The marginal cost and average total cost of providing a round of golf are $20. How much higher will the profit be if the golf course uses third-degree price discrimination instead of charging all golfers the same price?

A.

$0
B.

$7.50
C.

$10
D.

$110

 

Question 7: An airline sells seats on its flights to business travelers whose demand is QB = 300 - P and vacation travelers whose demand is QV = 150 - 0.5P. The combined market demand is Q = 450 - 1.5P. The marginal cost and average total cost of providing a seat on a flight are $200. How much higher will profit be if the airline uses third-degree price discrimination instead of charging all travelers the same price?

A.

$0
B.

$250
C.

$400
D.

$1,000

 

Question 8: If a firm practices third-degree price discrimination, the price charged should be higher in the market where demand is:

  A.

Higher.
  B.

Lower.
  C.

More price elastic.
  D.

Less price is elastic.

 

Question 9: The key difference between markets where third-degree price discrimination is possible and markets where second-degree price discrimination is possible is whether:

   

A. resale is possible.
   

B. customers have the same demand curves.
   

C. firms have market power.
   

D. firms can identify customers' demand before the customers make a purchase.

 

Question 10: For price discrimination via a quantity discount to work:

   

A. customers who purchase larger quantities must have relatively elastic demand.
   

B. customers who purchase larger quantities must have relatively inelastic demand.
   

C. customers who pay a relatively high price must have relatively elastic demand.
   

D. customers who pay a relatively low price must have relatively inelastic demand.

 

Question 11: A firm wants to offer a quantity discount to price-discriminate between buyers who are relatively uninterested in the product and buyers who are obsessively interested in it. The uninterested customers have a demand of QU = 30 - 0.5P. The package offered to them contains 10 units of the good at a price of $40 each. Which of the following packages designed for obsessed customers is incentive compatible?

  A. 

60 units at a price of $10 each
  B.

40 units at a price of $10 each
  C.

60 units at a price of $20 each
  D.

40 units at a price of $20 each

 

Question 12: Which of the following conditions do not have to be met in order for indirect price discrimination by versioning to work?

   

A.The firm's customers must have different demand curves.
   

B. The marginal costs of producing each version of the product must be the same.
   

C. The firm must be able to prevent resale.
   

D. The firm must have market power.

 

 

Willingness to pay (per month)
 

Weight machines

Indoor pool

Abe

$60

$50

Betty

50

125

Chris

25

140

 

QUESTION 13
This table shows the willingness to pay off the only three potential customers of a firm that runs both a weight room and an indoor swimming pool. The weight room and pool each have a constant marginal cost of $20 per month. Which of the following pricing strategies yields the highest producer surplus?

   

A. $60 for the weight room, $140 for the pool, or $175 for both
   

B. $50 for the weight room, $125 for the pool, or $165 for both
   

C. $25 for the weight room, $50 for the pool, or $70 for both
   

D. $60 for the weight room, $130 for the pool, or $175 for both

 

Question 14: Which of the following features is needed to make bundling a possible price discrimination strategy but is not required for any other price discrimination strategies?

   

A. Customers must have identical demand curves.
   

B. The firm does not learn about customer demand until after purchase.
   

C. Demand for two products must be negatively correlated.
   

D. The firm must not have market power.

 

Question 15: Which of the following features is not needed for price discrimination using a two-part tariff to work?

   

A. The firm must have market power.
   

B. The firm must be able to prevent resale.
   

C. The firm must learn about its customers' demands before purchases are made.
   

D. The firm's customers must have different demand curves.

 

Question 16: A firm faces a market demand curve P = 50 - 5Q. It has a constant marginal cost of $10. Relative to standard monopoly pricing, how would a block pricing strategy where the first four units can be purchased for a price of $30 each, but two more units can be purchased for an additional $20 each change consumer surplus and producer surplus?

   

A. Consumer surplus would decrease by $10, and producer surplus would increase by $20.
   

B. Consumer surplus would increase by $10, and producer surplus would increase by $20.
   

C. Consumer surplus would increase by $20, and producer surplus would increase by $10.
   

D. Consumer surplus would increase by $20, and producer surplus would increase by $20.

 

Question 17: Relative to standard monopoly pricing, block pricing:

   

A. decreases consumer surplus, increases producer surplus, and increases total surplus.
   

B. increases consumer surplus, increases producer surplus, and increases total surplus.
   

C. decreases consumer surplus, increases producer surplus, and decreases total surplus.
   

D. decreases consumer surplus, decreases producer surplus, and decreases total surplus.

 

Question 18: Which of the following results in the highest amount of producer surplus?

  A.

bundling
  B.

third-degree price discrimination
  C.

block pricing
  D.

two-part tariffs

 

Question 19: Which of the following results in the highest amount of consumer surplus?

  A.

first-degree price discrimination
  B.

third-degree price discrimination
  C.

block pricing
  D.

two-part tariffs

 

Question 20: Which of the following results in the highest amount of total surplus?

  A.

third-degree price discrimination
  B.

block pricing
  C.

first-degree price discrimination
  D.

bundling

 

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