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The monopolist of a good faces two groups of consumers. Each consumer in Group A has an inverse demand function given by P = 10 - Q. Each consumer in Group B has an inverse demand function given by P = 12 - Q. There are 100 consumers in each group. Marginal cost is 2 per unit for all units. You may assume that arbitrage is not possible. (a) Suppose that the firm engages in third degree price discrimination. Calculate the profit maximizing prices and the associated output and profit per consumer, and show your work. In which market is price higher? Explain. (b) Next, suppose that the firm wishes to use two part tariffs to engage in first degree price discrimination. What are the profit maximizing two-part tariffs to charge to each group? Explain and show your work. (c) Now, suppose that while the monopolist knows that the two groups exist, and that there equal numbers in each group, it does not know whether an individual consumer is in group A or group B. It plans to implement a form of second degree price discrimination by setting a single two part tariff. Will the optimal two-part tariff be either of those identified in (b), or something else? Explain. NOTE: you do not need to solve for the optimal two part tariff to answer this question. You may assume that units of the good are perfectly divisible if necessary. (d) Finally, continue to suppose that the monopolist cannot identify the group of an individual consumer, and suppose that the monopolist attempts to engage second degree price discrimination by offering the following pricing blocks: Block A: Receive 8 units of the good for a total price of $48. Block B: Receive 10 units of the good for a total price of $52. Given these two bundles, will all consumers choose to purchase, and will they separate themselves into their groups by the bundles they choose? Explain. Can this be the profit maximizing pair of bundles? Explain.
Don Ball is a 55-year-old engineer. According to mortality tables, a male at age 55 has an average life expectancy of 21 more years. Don has accumulated $48,500 toward his retirement. He is now adding $5000 per year to his retirement fund. The fun..
Two companies, Company A and Company B, are deciding whether each should implement a new pricing strategy, which may or may not result in a price war. If both companies reduce (discount) their current prices, each company will end up with $175K in ..
Discuss the differences you observe in your answers above between the monopoly and perfectly competitive firm. x-axis 0 8 18 21 30 price and cost per unit y-axis 0 20 33 35 40 quanity.
After analysis of the business, the manager has determined that weekly demand can be approximated by Q = 25,000 - 1000P. The firm's cost function is C = 25,000 + 13Q + .002Q2, where Q is output per week. Determine the profit maximizing price and ou..
The sales information for the Lonestar Sports Apparel Corporation for the last 12 years as follows:
where QI refers to the number of games they would play if the price of a game were PI. Because of their access to credit, they would be willing to pay an up-front fee to join the club. Wizards live from pay check to paycheck and would be willing t..
The Texas Family Assistance Program (a social welfare program) offers cash transfers to low-income families. Suppose that the maximum transfer is $20 for households without income; for each dollar earned, the transfer is reduced by $0.50.
company has issued a 10-year bonds, with a face value of $1,000,000 in $1,000 units. Interest at 8% is paid quarterly. if an investor desires to earn 12% nominal interest (compounded quarterly) on $10,000 worth of these bonds,
The price at point a is $70 and the price at point c is $10 per bag. The price at point d is $56 and the price at point e is $31 per bag. The price at point f is $67 and the price at point g is $32 per bag. Apply the formula for the area of a trian..
There are two firms that engage with a Cournot competition with the inverse demand curve given by P=1000-5Q. Suppose the two firms have constant marginal costs $5 and $10. a). Write down the profit function for each firmb). Firm 2 produces 10 units, ..
Demand for flower bouquets in a suburban town is described by: QD = 50 - 5 P + 2 Y, where Q is quantity, P is price per unit, and Y is an index of consumer income. Similarly, supply is described by QS = 10 P - 5.
Calculate the standard error of estimate and the standard error of Coefficient Standard error of estimate = Standard error of Coefficient = 4. Make a prediction of Y when X = 64. Prediction y= 5. Calculate a 95% prediction interval when X = 64. Pre..
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