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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.
Finally, suppose for part c only that you now have the additional information that the marginal cost to Magee's of making one transparent pie is $2 (and is constant). Magee's currently charges $5 for each transparent pie.
Starting with the estimated demand function for Chevrolet: Qc = 100,000 - 100Pc + 2000N + 50I + 30Pf - 1000Pg +3A + 40,000Pi. Assume the average value of the independent variables changes to N= 225 million, I= 12,000, Pf= 10,000, Pg= 100 cents, A=..
Consider an economy in which taxes, planned invest-ment, government spending on goods and services,and net exports are autonomous, but consumption and planned investment change as the interest rate changes.
Consumer 1 has expenditure function e1(p1; p2; u1) = u1sqrt(p1p2) and consumer 2 has utility function v(x1; x2) =x1x2^(alpha) What are Marshallian (market) demand functions for each of the goods by each of the consumers
A monopoly with constant marginal costs MC = 6 has two potential groups of customers, whose demands are Q1 = 24-p and Q2 = 24-2p respectively. If the monopoly can charge them the same two-part tariff, what is the optimal unit price p and fixed fee ..
Suppose that there is an increase in the demand for personal computer systems. Explain the likely effects on marginal revenue product, marginal factor cost, and the number of workers hired by the firm.
How much can Wells Fargo lend to developer who will repay the loan by selling first 6 view lots out of 13 lots at $190,000 each 2 year from now? Assume the bank will lend at a nominal 14% per year, compounded semiannually.
Suppose you are a manager of a firm that produces products X, Y and Z. You know that there are two different types of consumers, type 1 and type 2, who value your products differently. You also know that there 10,000 type1 consumers and 50,000 typ..
XYZ Corporation is a manufacturer of widgets. Over the past several months, it has been selling its widgets for $100 each and unit sales have averaged 5,000 units per month. This month its competitor, ABC, Inc. raised the price of its widgets from..
Amalgamated Popcorn, Inc. is a fairly small firm selling bags of flavored gourmet popcorn in a popular mall. As shop owner and operator, you have observed that your daily sales tend to follow a pattern that can be stated as: QP = 500 - 100PP + 1.2..
Jacob Verytall signs a "Fifty Million Dollar" contract with the Mission City Muckrakers, a new basketball team. If he takes the job, he will pay $1000 dollars in moving costs immediately. Then he will be paid $10 million per year over the next 5 y..
.determine the amount of slack or surplus for each constraint (dont worry about this problem it has been emitted from the homework but if you can help me to understand this I would greatly apprecaite it) suppose the objective function is changed to..
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