Alex and Jennifer are roommates. Alex values listening to loud music at $800, and Jennifer values peace and quiet at $650. If Jennifer has the property rights to the apartment, who's preferences prevail according to the Coase Theorem?
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- 3. Anita (A), Ben (B) and Carlos (C) are housemates who have moved to a new house and must decide how to allocate rooms X, Y and Z. An 'allocation' is where each housemate is assigned to exactly one room. For example, Anita → Room Z, Ben → Room X and Carlos → Room Y is allocation (Z, X, Y). Utilities for each room are given below: Utility for A Utility for B Utility for C Room X 7 9 2 Room Y 4 3 7 Room Z 2 1 4 (a) How many possible allocations are there in total? (b) Identify the two allocations which are not Pareto optimal and explain why they are not Pareto optimal. (Hint: is the allocation (Y,Z,X) Pareto optimal?) (c) Suppose we square Carlos' utility from each room (i.e. uc (Z) becomes 16). Would the set of Pareto optimal outcomes change? Why/why not? (d) Returning to the utilities from part (a), which of the Pareto optimal allocations maximise total surplus (utility) and would all housemates weakly prefer this allocation over any other? (e) Suppose the housemates decide to…23. Anita (A), Ben (B) and Carlos (C) are housemates who have moved to a new house and must decide how to allocate rooms X, Y and Z. An 'allocation' is where each housemate is assigned to exactly one room. For example, Anita → Room Z, Ben → Room X and Carlos → Room Y is allocation (Z, X, Y). Utilities for each room are given below: Room X 7 9 2 Room Y 4 3 7 Room Z 2 1 4 Utility for A Utility for B Utility for C (a) How many possible allocations are there in total? (b) Identify the two allocations which are not Pareto optimal and explain why they are not Pareto optimal. (Hint: is the allocation (Y,Z) Pareto timal?) (c) Suppose we square Carlos' utility from each room (i.e. uc (Z) becomes 16). Would the set of Pareto optimal outcomes change? Why/why not? (d) Returning to the utilities from part (a), which of the Pareto optimal allocations maximise total surplus (utility) and would all housemates weakly prefer this allocation over any other? (e) Suppose the housemates decide to allocate…Suppose that Abe and his brother Moe are lost in the desert and are in need of guidance to find an oasis. They can seek such guidance from either a burning bush or a golden calf. Abe has the following preferences: • If Moe chooses to talk to the golden calf, Abe prefers the outcome where he to chooses to talk to the golden calf than talk to the burning bush. • If Moe chooses to talk to the burning bush, Abe is indifferent between the outcome where he choose to talk to the burning bush and the outcome where he chooses to talk to the golden calf. • Regardless of his own decision, Abe prefers all outcomes where Moe talks to the burning bush than if he chose to talk to the golden calf. Moe has the following preferences: • If Abe chooses to talk to the golden calf, Moe prefers the outcome where he chooses to talk to the golden calf than talking to the burning bush. • If Abe chooses to talk to the burning bush, Moe prefers the outcome where he chooses to talk to the golden calf than talking…
- The following table shows the marginal utility per dollar of apples and pears for five consumers: Consumer Marginal Utility Per Dollar Apples Pears Darnell 8 5 Eleanor 7 8 Jacques 6 6 Kyoko 5 4.5 Musashi 4 4 Darnell, Eleanor, and Kyoko are not optimizing over their choice of fruit. In the following table, indicate which fruit each consumer should increase consumption of in order to achieve the optimal fruit consumption bundle. Consumer Apples Pears Darnell Eleanor KyokoJeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either call her on the land-line phone for five cents per minute or he can drive to see her, at a round—trip cost of 2 in gasoline money. He has a total of 10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses a handy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values in Table 6.6, figure out the points 011 Jeremys consumption choice budget constraint (it may be helpful to do a sketch) and identify his utility-maximizing point.Kip is trying to decide whether to take a one-day martial arts class at Rex Kwan Do. The fee for the class is $400. Kip will also have to pay his brother Napoleon $150 for that day in return for giving him a ride into town. Instead of taking the class Kip could spend all day on the computer chatting with his girl, LaFawnduh. This gives him a value of $300. On the other hand, he could spend all day working with his Uncle Rico and making sweet moolah. Uncle Rico has promised to pay him $350 on that day if he works with him. What is Kip’s marginal cost of joining Rex Kwan Do? Group of answer choices $650 $550 $400 $300 $350 $150 $900
- 5. Sheila and Bruce are taking a canoe trip. Sheila brought 10 boxes of peanuts (x) and 15 bags of chips (y). Sheila's utility function is U*(x,y) = lnvx*+ Invy°. Bruce also brought 20 boxes of peanuts and 5 bags of chips. Bruce's utility function is UB(x.y) = min[x', y'I. a) Illustrate the endowment point and draw a sample set of indifference curves through the endowment point. b) If Sheila and Bruce trade what will be the pattern of mutually beneficial trade? c) If the terms of trade are the number of bags of chips (y) per box of peanuts (x) then what is the largest value that these terms can be for a mutually beneficial trade in this economy? d) Find one mutually beneficial trade where the terms of trade are 1 bag of chips (y) per 2 boxes of peanuts (x). Suppose that Sheila and Bruce set up two competitive markets for peanuts and chips. Below you will show that if the price of peanuts (x) is $1 and the price of chips (y) is $2 then the markets for both peanuts and chips will clear.…Alia only likes tacos, which she buys from two local restaurants - Alberto's and Roberto's – so let's define good x=Alberto's tacos and good y=Roberto's tacos. But let's face it, Roberto's is the best, and we would have to offer Alia 3 Alberto's tacos in order to convince her to give up 2 Roberto's tacos, regardless of how much she is currently consuming. a) Write Alia's utility function and draw some of her indifference curves. b) If Px=$2, Py=$4, and I=$24, how much of each type of taco will Aila purchase? c) What if Roberto's tacos go on sale for $2 each?Each day Paul, who is in third grade, eats lunch at school. He likes only Twinkies (t) and soda (s), andthese provide him a utility ofutility = U (t s) =square root (ts).a. If Twinkies cost $0.10 each and soda costs $0.25 per cup, how should Paul spend the $1 hismother gives him in order to maximize his utility?b. If the school tries to discourage Twinkie consumption by raising the price to $0.40, by howmuch will Paul’s mother have to increase his lunch allowance to provide him with the same levelof utility he received in part (a)?
- Consider a town with a single street of 1 km long with 3,000 people spread uniformly along it. Two stores, 1 and 2, are located at the opposite ends of the street and sell the same product (store 1 is locatedattheleftend).Thecostofwalkingist1 =$6perkmtostore1andt2 =$9perkmtostore2for each consumer. The net utility of a consumer located at point x from buying a product at store 1 is U1(x) = 100 – p1 – t1x, where pi is a price of the product at store i = 1,2. The net utility from buying at store 2 is U2(x) = 100 – p2 – t2(1 – x). The average cost of the product for each store is c = 4. (a) Assume that all consumers buy product from the sellers. Find the demand functions Di(p1,p2) and the profit functions πi(p1,p2) for each store i = 1,2 as functions of prices p1,p2.(b) Find the equilibrium prices.(3) Willig is willing to pay as much as $130 to buy the last ticket to a music concert at Canada's Wonderland, while Norman is willing to pay as much as $200 for a ticket. Willig is first in line and buys a ticket for $110. He then resells his ticket to Norman for $170. Assume that both took rational decisions given their options. Willig by reselling his ticket rather than going to the concert himself, caused the total surplus, (a) to increase by $70 (b) to remain unchanged. (c) to increase by $90- to decrease by $20 (d) to increase by $30 none of the options are correctSuppose that there are three beachfront parcels of land available for sale in Astoria and six people who would each like to purchase one parcel. Assume that the parcels are essentially identical and that the minimum selling price of each is $570,000. The following table states each person's willingness and ability to purchase a parcel. Person Willingness and Ability to Purchase (Dollars) Ana 630,000 Charles 590,000 Dina 550,000 Gilberto 510,000 Juanita 500,000 Yakov 700,000 Which of these people will buy one of the three beachfront parcels? Check all that apply. Ana Charles Dina Gilberto Juanita Yakov Assume that the three beachfront parcels are sold to the people that you indicated in the previous section. Suppose that a few days after the last of those beachfront parcels is sold, another essentially identical beachfront parcel becomes available for sale at a minimum price of $560,000. This fourth parcel ____ (will,…
