The table shows the demand schedule of a monopolist. Calculate marginal revenue and fill in the revenue column in the table. Assume that output can only be sold in integer amounts (i.e., 1 unit, 2 units, etc.). Once you have filled in marginal revenue, identify the quantity produced by the monopolist in this market. Quantity Marginal Cost Marginal Revenue MR₁: MR3: MR5: 1 2 3 نیا 4 5 6 Price $13 $12 $11 $10 $9 $8 $6 $7 $8 $9 $10 $11 How many units does the monopolist produce? MR₁ MR₂ MR3 MR4 MRS MR6 MR₂: MR4: MR6: Quantity:
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- A monopolist hires you to design its pricing policy. After month of doing market research you realize that the own-price elasticity is not the same for different groups of consumers in the market. (a) If group (a) has an own-price elasticity of 2.16 and group (b) 1.26. Assuming that the firm can directly observe an indicator of belonging to groups (a) and (b), what degree of price-discrimination can the monopolist implement? which group will end up paying more? (b) Will producer's surplus increase or decrease with price discrimination? what about consumer surplus? (consider single pricing vs price discrimination) (c) If a you get hold of a magic crystal ball that tells you the exact willingness to pay of each consumer. What type of price discrimination can the monopolist use to maximize profits? is this strategy “efficient” from the point of view of total surplus? are consumers better-off or worse-off? (Hint: A graph can greatly clarify this part.)When a monopolist sells two units of output its total revenue is R600. When aa monopolist sells three units of output its total revenue is R690. To sell three units od output instead of only two, what must the monopolist do?The USPS charged $0.50 per stamp in 2021 and allows stamps.com to sell a sheet of twenty $0.50 stamps with personalized photos for $1.20 per stamp. Stamps.com keeps the extra beyond the $0.50 it pays the USPS. If stamps.com is acting as a profit-maximizing monopolist, what is their Lerner Index, and what is the price elasticity of demand for a customized stamp?
- A monopoly producer of music videos sells them to TV stations and to individual consumers. BecauseTV stations have special formatting and quality requirements, producers can separate these two markets and sellessentially the same product at two different prices. You are given the following demand curves per year for thesedistinct markets:TV stations: P1 = 80 - 0.01Q1Individual consumers: P2 = 60 - 0.01Q2where P refers to prices charged to each group and Q refers to quantities demanded by each group. The variable costof producing music videos (once the video has been shot) is uniform at €4 per video. In addition, there are sunk fixedcosts of €20,000 for the shooting of each music video (for design, promotion and hiring artists).3.1. If the producer of music videos can price discriminate by charging different prices to each group, determine theprofit-maximizing price charged to TV stations and to individual consumers.3.2. Assume now that the monopoly producer of music videos is unable to…Item 7 Suppose a monopolist’s profit-maximizing output is 400 units per week and that the firm sells its output at a price of $40 per unit. The firm has total costs of $8,000 per week. Assume the monopolist is maximizing its profit and earns $20 per unit from the sale of the last unit produced each week.A telephone company has isolated three distinct demands for its services:Weekdays: Q1=90-0.5P1Holidays: Q2=35-0.25P2Nights: Q3=30-0.2P3TC=25+20Q WHERE Q=Q1+Q2+Q3Show that as a discriminatory monopolist this company will maximize profits by charging the highest price in the market where the price elasticity of demand is lowest, by finding a) the profit maximizing level of outputb)the profit maximizing price and c) the price elasticity of demand in each marketUse Cramer's rule for solving simultaneous equations and the Hessian for the second order conditions
- Exercise A.6 A monopolist facing the demand curve Q = 42 – 0.6P operates with constant average and marginal costs equal to 20. a) Calculate the quantity, price and profit obtained by the monopolist. Represent graphically. (b) What quantity, what price and what benefit will you get if you can apply first-degree price discrimination? Calculate the consumer surplus and represent graphically. c) The monopolist warns that he can separate consumers into two distinct groups with demands Q1 = 12 - 0.1P1 and Q2 = 30 - 0.5P2. Calculate the quantities, the prices you will set in each market, and the profit you will make. Represent graphically.A monopolist w11ishes to maximize total revenue. She produces two outputs, (x1, x2) and faces the following demands for her products, X1 = 20 – 2p1, and X2 = 20 – 4p2 Where p1 and p2 are, respectively, the prices of the two goods. To produce one unit of x1 the monopolist must use one unit of land and one unit of capital. And, to produce one unit of x2 requires two units of land and one unit of capital. The firm has available 10 units of land and 6 units of capital. Specify the firm’s short-run maximization problem. Set up the Kuhn-Tucker conditions for maximization (you do not need to solve). Assume that the solution is x*1 = 5 1/3 (i.e. 16/3) and x*2 = 2/3. Explain which constraints are binding and whether the Lagrange multipliers are positive or zero and what they mean.A monopolist sells in 2 markets and produces in 1 factory. Although the monopolist can charge difference prices in the two markets, it must sell all units within a market at the same price. a) Suppose this monopolist does not have a marginal cost (MC = 0). If demand in market 1 isX1(p1) = a1 - b1p1 and demand in market 2 is X2(p2) = a2 - b2p2, set up the monopolist's profit maximization problems and solve for the market prices that result in each market. b) Under what conditions on a1, b1, a2, b2 from above will the monopolist not price discriminate? c) If demand in market i, where i = 1 , 2, is instead Xi(pi) = ai pi^(-bi) and the monopolist has some constant marginal cost of c, where c > 0, set up the monopolist's profit maximization problem and solve for the market prices.
- Only answer BOLD and ITALIC part of the question. A monopolist has discovered that the inverse demand function of a person with income Y for the monopolist’s product is P = 0.002Y-Q where P is the price, Y the income, and Q is the output. The monopolist can observe the incomes of its consumers and hence vary its price accordingly. The monopolist has a total cost function C(Q) = 100Q. A monopolist has a constant marginal cost of £2 per unit and no fixed costs. He faces two separate markets in the United States and in the UK. The goods sold in one market are never resold in the other. He sets one price P1 for the US market and another price P2 for the UK market (both measured in £). The demand in the United States is given by Q1=7,000-700P1 and the demand in the UK is given by Q2=1,200-200P2. - Calculate the profit maximising output produced and price charged in each country by the price-discriminating monopolist and comment in which country the price charged is higher and by how much.…monopolyStart from a market where a monopoly prevails. Select the option or options below that are correct. Select one or more options: a-The monopolist maximizes profit where MR = MC b-A monopolist always has the opportunity to make a profit c-The individual monopolist has no market power as it meets a completely elastic demand. d-The monopolist will charge a higher price than the marginal cost of the selected quantity. e-The monopolist is free to choose the price charged for a given quantity because consumers have no competitor to go toPrice elasticity of demand (PED) is an important tool for private firms. It helps in decision making. Discuss how knowledge of price elasticity of demand might be of practical use to a firm selling holiday tours in an island like Mauritius in a period of falling income (low economic situation) following the exposure of COVID-19. The price elasticity of demand for a monopolist’s product is –0.7. Advise the firm on its pricing strategy.