微观经济学作业答案5

Managerial EconomicsHOMEWORK SET#5Name:Class:Student #:(Due day: Next class)Part 1:1. Discrimination based upon the quantity consumed is referred to as ______________ price discrimination.a. first-degreeb. second degreec. third-degreed. groupChoose:b)2. Club Med, which runs a number of vacation resorts, offers vacation packages ata lower price in the winter, the "off season," than in the summer. This practice is an example of:a. peak-load pricing.b. intertemporal price discrimination.c. two-part tariff.d. bundling.e. both (a) and (b) are correct.Choose:e)3. Bundling raises higher revenues than selling the goods separately whena. demands for two goods are highly positively correlated.b. demands for two products are mildly positively correlated.c. demands for two products are negatively correlated.d. there is a perfect positive correlation between the demands for two goods.e. the goods are complementary in nature.Choose:c)4. Two-part tariffs are:a. a form of bundling.b. profit-enhancing if consumers have different demand curves.c. inefficient if all consumers are idential.d. an uncommon price strategy.e. None of the above is correct.Choose:b) Although not all surplus can be extracted when consumers＇s demand differs, two part tariffs may still be profitable. Two-part tariffs can be just as efficient as perfect competition if consumers are identical snd price is set at marginal cost(therefore, choice c) is wrong). Choice d) is certainly not true-separating prices into two components, an entry fee and a usage fee, is quite common. Example are country club pricing or fitness club pricing (an initial membership fee and monthly fees as well) and utility bills (a charge for being connected and a separate charge for ueage.)The next four questiones refer to the Zwift Corporation, which has a monopoly inthe Zouvenier market in Zuburbia. Zwift has a constant average variable cost of $5 per unit and no fixed costs. It faces the demand curve P=85-2Q, where P is measured in dollars.5. Zwift should produce an output of:a. 42.5 units.b. 40 units.c. 20 units.d. 10 units.e. None of the above is correct.Choose: c) MR=85-4Q. At MR=MC, 85-4Q=5,or Q*=20.6. It should charge a price per unit of:a. $45.b. $5.c. $85.d. $10.e. None of the above is correct.Choose: a) At Q*=20, P*=85-2(20)=$45.7. At the profit-maximizing output, it will earn profits of:a. $1,700.b. $1,600.c. $800.d. $400.e. None of the above is correct.Choose:c) With zero fixed costs, ATC=AVC, and profit equals TR-TC=45(20)-5(20)=$800.8. The deadweight loss from Zwift＇s monopoly is:a. $400.b. $800.c. $900.d. $1,600.e. $1,806.25.Choose:a) The competitive price and output would be P*=MC=5 and therefore 5=85-2Q or Q*=40. Deadweight loss is then the area of the triangle bordered by the competitive and monopoly outcome: 0.5(40-20)(45-5)=$400.The next two questions use the following data: Forty thousand potential customers of a cable TV franchise are each willing to pay $6/month for HBO and $6/month for Cinemax. Twenty thousand potential customers are each willing to pay $10/month for HBO and only $3/month for Cinemax. Assume costs are zero.9. If the two services are sold separately, the franchise should charge ( ) for HBO and ( ) for Cinemax.a. $10 and $6b. $6 and $6c. $6 and $10d. $6 and $3e. $10 and $3Choose:b) The cable franchise would earn revenues of $6(40,000)+6(20,000)=$360,000 if it set PHBO=$6. It would earn revenues of 10(20,000)=$200,000 if PHBO=$10. Therefore, the cable franchise should set PHBO=$6.10. If the franchise sells the two services in a bundle, it should charge:a. $16.b. $13.c. $12.d. $10.e. $9.Choose:c) If the cable company charges a bundle price of $12 then revenue is (40,000+20,000)12=$720,000. If the bundle price were $13, revenues would be 13(20,000)=$260,000. Note that bundling induces all customers to buy both services. Even though the total price($12) is the same as in Question 7, bundling is more profitable.11. Comparing first-degree price discrimination to perfect competition one can conclude that:a. total surplus is higher under competition.b. total surplus is lower under competition.c. producer surplus is lower and consumer surplus is higher under competition.d. marginal revenue is equal to price under competition, but not under first-degree price discrimination.e. deadweight loss is lower under competition.Choose:c) First-degree price discrimination uses different packaging or distribution methods for its generic cigarettes, the price difference may partially reflect a cost difference. Volume discounts are often cost-justified, if there are economies of scale, as well as saving in planning and shipping. There could clearly be additional costs of customizing a product that would need to be passed on to the consumer.12. Which of the following can be thought of as a barrier to entry?a. scale economies.b. patents.c. strategic actions by incumbent firms.d. all of these.Choose:d)13. In comparing the Cournot equilibrium with the competitive equilibrium,a. both profit and output level are higher in Cournot.b. both profit and output level are higher in the competitive equilibrium.c. profit is higher, and output level is lower in the competitive equilibrium.d. profit is higher, and output level is lower in Cournot.Choose: d)Part 2:Internet service in the local market is supplied by Laura's Internet Service. The demand is 6,500100650.01.=-⇔=-D Q P P Q Laura's marginal cost function is MC(Q)= 6.67 + 0.0067QIf Laura can first-degree price discriminate, calculate consumer surplus. Calculate Laura's producer surplus. Does Laura's market power and first-degree price discrimination result in reduced societal welfare?Solution:If Laura can first-degree price discriminate, she will charge the highest price each consumer is willing-to-pay. This implies she will continue selling units until the price of the last unit sold equals her marginal cost.P = 65 – 0.01Q = MC = 6.67 + 0.0067QTherefore Q = 3,492.8Producer surplus isPS = (0.5)(65 – 6.67)(3,492.81) = 101,867.80Since the price of the last unit sold is equal to the marginal cost, Laura's output level is efficient. However, since Laura is first-degree price discriminating, consumer surplus is zero. Social welfare in this market structure is as high as possible given the efficient level of units are produced.Part 3:A firm operating in a monopolistically competitive market faces demand and marginal revenue curves as given below: P = 10 - 0.1Q MR = 10 - 0.2QThe firm's total and marginal cost curves are:TC = - 10Q + 0.0333Q3 + 130 MC = -10 + 0.0999Q 2,3,492.81 6,500 Qwhere P is in dollars per unit, output rate Q is in units per time period, and total cost C is in dollars.a. Determine the price and output rate that will allow the firm to maximize profit or minimize losses.b. Compute a Lerner index.Solution:a.Calculate MR and equate it to MC.MC = MR- 10 + 0.10Q2 = 10 - 0.2Q0.1Q2 + 0.2Q - 20 = 0The quadratic formula yields:Q1 = 13.17 Q2 = -15.15.Use Q1 since negative quantities are not meaningful.At Q1 = 13.17P = 10 - 0.1(13.17) = 8.68b.Computation of monopoly power. The Lerner index is computed below:At Q = 13.17, P = 8.68, and MC = 7.34L = (8.68 – 7.34)/8.68 = 0.154Part 4:Consider the pricing of first-class and coach airline tickets on a route where the airline has a monopoly in air travel. Take a simple example: Let MC=100, and let the demand for first-class tickets be P=1,000-5Q, while the demand for coach tickets is P=500-Q.a. Find the monopoly price for first-calss tickets and coach tickets.b. What is the demand elasticity for each market segment at the profit-maximizing prices you found in part a)? Do these values make sense?Answer:a.Set MR=MC in each market segment. (Recall that MR has the same intercept andtwice the slope of a linear demand curve.)First-class: 1,000-10Q=100 Q=90 and P=$550, using the demand equation to determine the price.Coach: 500-2Q=100 Q=200 and P=$300.b.Efirst-class=-bP/Q=-(1/5)(550/90)=-1.2(where –b is the slope of the deamndequation Q=a-bP).Ecoach=-bP/Q=-1(300/200)=-1.5.Yes, these values for the demand elasticities in each market segment make sense, since the market segment with the less elastic demand is being charged and higher price.。