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?
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Assume a monopolist produces rum and knows there are two groups of rum consumers, 1 and 2, with different
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- Suppose a monopolist knows it has two types of customers. The inverse demand for the customers in the first market is P = 50 – Q while the inverse demand for the customers in the second market is P = 40 – 2Q. The marginal cost is €10 in both markets. Suppose the firm wishes to charge a two-part tariff to its customers but it cannot distinguish between the customers in the first and second markets. Calculate the entry (fixed) fee that the firm should charge in these circumstances.Consider the relationship between monopoly pricing and the price elasticity of demand. If demand is inelastic and a monopolist raises its price, quantity would fall by a ▼. Therefore, a monopolist will Use the purple segment (diamond symbols) to indicate the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal- revenue (MR) curve.) Then use the black point (plus symbol) to show the quantity and price that maximizes total revenue (TR). Price 10 9 CO 7 6 S E 2 0 -2 Demand Search percentage than the rise in price, causing profit to produce a quantity at which the demand curve is elastic. Marginal Revenue 86 Inelastic Demand e + Max TR C ? (CC Speaker/Headph AMonopoly and Price Elasticity Consider the relationship between monopoly pricing and the price elasticity of demand. If demand is inelastic and a monopolist raises its price, quantity would fall by a (LARGER AND SMALLER) percentage than the rise in price, causing profit to (DECREASE OR INCREASE) . Therefore, a monopolist will (ALWAYS, NEVER OR SOMETIMES) produce a quantity at which the demand curve is elastic. Use the purple segment (diamond symbols) to indicate the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal-revenue (MR) curve.) Then use the black point (plus symbol) to show the quantity and price that maximizes total revenue (TR).
- Suppose a monopolist operates in a market with two types of consumers (“high” and “low” types) and offers two types of goods (“high quality” and “low quality”). In general, if the monopolist wants to implement second-degree price discrimination (i.e. to sell the “high quality” good to the “high” type consumer and the “low quality” good to the “low” type consumer), they may have to set the price of the “high quality” good lower than the willingness-to-pay of the “high” type.(a) True. (b) False.Consider a monopolist that has costs C = 250 + 30 Q + .1Q2 with two types of consumers: Q1 = 1000 – .5 P1 Q2 = 1500 – 2P2 a) How much will this firm offer to the market, what is the price charged to consumers, and what are the profits of the firm if this is a pure monopolist and treats consumers as one market? b) How much will this firm offer to the market, what is the price charged to consumers, and what are the profits of the firm if this is a perfect price discriminator? c) How much will this firm offer to the market, what is the price charged to consumers, and what are the profits of the firm if this is an imperfect price discriminator that can distinguish between type 1 and type 2 consumers?Consider the relationship between monopoly pricing and the price elasticity of demand. If demand is inelastic and a monopolist raises its price, total revenue would (DECREASE OR INCREASE) and total cost would(DECREASE OR INCREASE) . Therefore, a monopolist will (SOMETIMES, ALWAYS, NEVER) produce a quantity at which the demand curve is inelastic. Use the purple segment (diamond symbols) to indicate the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal-revenue (MR) curve.) Then use the black point (plus symbol) to show the quantity and price that maximizes total revenue (TR).
- Consider the relationship between monopoly pricing and the price elasticity of demand. If demand is inelastic and a monopolist raises its price, quantity would fall by a percentage than the rise in price, causing profit to Therefore, a monopolist will produce a quantity at which the demand curve is elastic. Use the purple segment (diamond symbols) to indicate the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal- revenue (MR) curve.) Then use the black point (plus symbol) to show the quantity and price that maximizes total revenue (TR). (? 10 Demand Inelastic Demand 6 5 Max TR 3 2 1 -1 -2 Marginal Revenue -3 -4 1 2 3 4 5 7 8 9 10 QuantitySuppose a monopolist knows it has two types of customers. The inverse demand for the customers in the first market is P = 60 - Q while the inverse demand for the customers in the second market is P 50 2Q. The marginal cost is €10 in both markets. Suppose the firm wishes to charge a two-part tariff to its customers but it cannot distinguish between the customers in the first and second markets Calculate the entry (fixed) fee that the firm should charge in these circumstances.Suppose that a monopolist, who sells all units at a uniform price, faces an inverse market demand curve P=100- 2Q. a) If there is no cost of production, what output would the firm produce to maximize profit, what price would the firm charge, and what profit would the firm earn? Give the numerical value of these three variables, showing how you determined them. b) If the firm’s total cost were instead positive, given by the function TC=10Q, what output would the firm produce to maximize profit, what price would the firm charge, and what profit would the firm earn? Give the numerical value of these three variables, showing how you determined them.
- Assume a monopoly firm is able to engage in perfect (or first degree) price discrimination and the demand for the monopolist's product is given by the data in the chart. This firm will sell one unit of output if it charges a price of $ . The firm can lower the price to $ to sell a second unit, which would result in total revenue equal to $ lower the price to $ The firm can to sell a third unit, which would result in total revenue equal to $ to sell a fourth unit, which would The firm can lower the price to $ result in total revenue equal to $ Price per unit $20 16 12 8 4 0 Quantity Demanded 0 1 2345Consider a monopolist facing two consumers with the following two inverse demand functions: P=200-4Q1 and P=122- 6Q2. Assume that fixed costs are zero and that the marginal cost is equal to $8.a) Suppose the monopolist can differentiate between the two consumers. The monopolist decides to use a twoparttariff that permits both consumers to stay in the market. Solve for each consumer’s demand, fixed fee andmonopolist profits. b) Assume the monopolist cannot differentiate between the two consumers and hence cannot apply a two-parttariff. He decides to serve both consumers. Solve for the equilibrium aggregate demand and price in themarket, demand of each consumer and the monopolist profit.Consider a monopolist local movie theater which has two distinct client groups, adults and seniors. The inverse demands for the two group are given by:p(qA) = a − b · qAp(qB) = a/3-b/3.qB(a) Describe the demand function in the two markets graphically and then compute the demand elasticity in each market.(b) Compute the demand function qP under the assumption that the movie theather canonly offer a single price to both segments of the market. (Hint: at a given price addthe demand of the adults and senior market. You need to go from the inverse demand function to the demand function.) Illustrate the aggregate demand function in contrast to the demand functions in each segment. Now compute the optimal price of the movie theater when it can only offer a single and common price to the market segments. Who goes to the movies and who does not?(c) Next allow the movie theater to offer different prices in each segment and customerscannot mispresent their identity. What is the optimal price in…