Suppose a monopolist faces consumer demand given by P=400 - 20 with a constant marginal cost of $40 per unit (where marginal cost equals average total cost assume the ferm has no fed costa). If the monopoly can only charge a single price, then it will eam profits of SEnter your response rounded as a whole number) Corespondingly, consumer surplus is $ However, f the fem were to practice price discrimination such that consumer surplus becomes profit then, holding output constant at 90, the monopoly would have profits of $
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- Suppose that a monopolist supplies a product in two distinct markets, LA and SF. The demand functions for thetwo markets are PLA = 52 – 4QLA and PSF = 70 – 7QSF. The monopolist has a fixed cost of $20 and a constantmarginal cost of $10 per unit.a. If segmenting is feasible, what are the profit-maximizing prices, quantities, and maximized profit?b. If segmenting is NOT feasible, what is the profit-maximizing price, quantity, and maximized profit?c. How much is the difference in total consumer surplus in the two cases? Which case makes consumers better off?Assume a monopolist produces rum and knows there are two groups of rum consumers, 1 and 2, with different price elasticities. Group 1 is highly price elastic with E1=-10; Group 2 exhibits a lower price elasticity of E2=-2.5. Assume the company can separate these two groups (e.g., by handing out special ID cards) and can charge two different prices. If P2=$14, how much can it charge to Group 1?Please no written by hand and no emage Suppose that the monopolist sells its goods for two segments of the population and the demand -2 functions are given by Q₁ 120P₁² and Q₂ = 320P₂³. If the monopolist can produce at AC-MC-6 and can discriminate the prices what are the optimal prices, respectively? $6,$9 $9, $12 $12, $9 $9, $6 =
- Consider any market that has a demand curve given by: Qd = 240 - 2P. Where Qd is the total quantity demanded in the market, given in millions of units and P is the market price, calculated in monetary units. Imagine that there are 2 Cournot oligopolists operating in this market with Cmg = CVme = 15 and fixed monthly costs equal to 1,400. About this market, ask yourself: a) What is the profit of each of the oligopolists? b) Imagine that one of the companies managed to implement a process innovation capable of halving its Cmg and CVme, so that they would go from 15 to 7.5. This investment implies an additional monthly expense of $1,800. Discuss the statement: "If this situation occurs, the innovative company will not implement variable cost reduction, as the quantity supplied in the market will increase very little; prices will remain very close to what they are today and its profits will not increase"Suppose that a monopolist faces two markets with demand curves given by: D1 (p1 ) = 100 – p1 D2 (p2) = 100 – 2p2 And also assume that the monopolist’s marginal cost is constant at $20 a unit. 1. If the monopolist can price discriminate, what price should the firm charge in each market in order to maximize profits? 2. Suppose the firm cannot price discriminate, what price should it charge?Suppose a monopoly market has a demand function in whichquantity demanded depends not only on market price (P) butalso on the amount of advertising the firm does (A, measuredin dollars). The specific form of this function isQ =(20 - P2) (1 + 0.1A - 0.01A2).The monopolistic firm’s cost function is given byC = 10Q + 15 + A.a. Suppose there is no advertising (A = 0). What outputwill the profit-maximizing firm choose? What market price will this yield? What will be the monopoly’sprofits?b. Now let the firm also choose its optimal level of advertising expenditure. In this situation, what output levelwill be chosen? What price will this yield? What will thelevel of advertising be? What are the firm’s profits in thiscase? Hint: This can be worked out most easily by assuming the monopoly chooses the profit-maximizing pricerather than quantity.
- A monopolist with a marginal cost MC = 2 faces two types of customer groups. Type 1 has itinverse demand function P1 = 10 - 0.5x, while type 2 has the inverse demand functionP2 = 10-x. What prices will the monopolist charge if he can discriminate on price between the two groups?Calculate, illustrate with the help of figures and explain the intuition behind the result.A monopolist book publisher with a constant marginal cost of 2 and no fixed costs sells novels in only two countries. Assume the inverse demand curve in country 1 is given by P1=10-2/3Qand the inverse demand curve in country 2 is given byPW=18-QAssuming book shipments across countries are banned so that price discrimination occurs. What is the equilibrium price and quantity of books sold by the monopolist in country 1?Options are: a)p=1, q=16b) p=1 q=12c) p=4, q=8d)p=6, q=6Continuing to assume price discrimination, what is the equilibrium price and quantity of books sold by the monopolist in country 2?a)p= 4,q=14b)p= 6,q=12c)p= 8,q=10d)p= 10,q=8If book imports are permitted in both countries so that price discrimination is impossible, what is the equilibrium price and quantity sold in the two countries combined?a)p=6,q=20b)p=7,q=20c)p=10,q=8d)p=12,q=6Suppose a monopolist faces two groups of consumers. Group 1 has a demand given by P1=50-2Q1 and MR1=50-4Q1. Group 2 has a demand given by P2=40-Q2 and MR2=40-2Q2. The monopolist faces MC=AVC=ATC=$10 regardless of which group he supplies to. We can infer from the demand equations that Group ___ is the inelastic group because the demand is ____ than that of the other group. a. 2; flatter b. 2; steeper c. 1; steeper d. 1; flatter
- A monopoly is considering selling several units of a homogeneous product as a single package. Analysts at your firm have determined that a typical consumer’s demand for the product is Qd = 130 − 0.25P, and the marginal cost of production is $160.a. Determine the optimal number of units to put in a package. units b. How much should the firm charge for this package? $Suppose a discriminating monopolist is selling a product in four separate markets in which demand functions are: Q1 = 300 – P1; Q2 = 200 – 0.5 P2; Q3 = 150 – 0.4P3 and Q4 = 75 – 0.25P4. Assume further that the total cost of the firm is given as TC = 61,000 – 100Q. As an economic adviser you are required to determine: a. The prices to be charged in the four markets and the amount of output to be sold in each market so that total profits can be maximized. b. Calculate the total profit to be made from the strategy of price discrimination. c. Elasticities in each market and comment.Assume that a monopolist sells a product with a total cost function: TC = 1200+0.5Q2. The market demand curve is given by the equation: Q=300-P For what range of output will the firm's revenue be increasing? For this monopolist, the profit-maximizing price is _________, at which it will sell __________ units of output. At this price, the monopoly will earn profit equal to ____________ . If this market were supplied by many firms with the same cost function, how much would be produced? _____________ At what price would it be sold? ______________ Calculate the loss in efficiency in this market due to the monopoly _____________