Li's marginal rate of substitution of hamburger for steak is 1/4, and Zhang's marginal rate of substitution of hamburger for steak is 2. The allocation of hamburger and steak Pareto-efficient between Li and Zhang because O is not; if Li traded some amount of hamburgers to Zhang for some steak, it is possible that each can be better off O is; Zhang's MRS is exactly 8 times larger than Li's MRS is; no trade can make both Li and Zhang better off O is not; if Li traded some amount of steak to Zhang for some hamburgers, it is possible that each can be better off

Li's marginal rate of substitution of hamburger for steak is 1/4, and Zhang's marginal rate of substitution of hamburger for steak is 2. The allocation of hamburger and steak Pareto-efficient between Li and Zhang because O is not; if Li traded some amount of hamburgers to Zhang for some steak, it is possible that each can be better off O is; Zhang's MRS is exactly 8 times larger than Li's MRS is; no trade can make both Li and Zhang better off O is not; if Li traded some amount of steak to Zhang for some hamburgers, it is possible that each can be better off

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter3: Preferences And Utility

Section: Chapter Questions

Problem 3.15P

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Similar questions

10. Consumer A and B have each been given an allocation of 2 goods x and y (assume each has positive amounts of both goods). At this allocation, consumer A has an MRS of 2, while consumer B has an MRS of 1/2. Could this allocation be Pareto efficient? Explain why or why not.
If an allocation is Pareto optimal and if indifference curves between the two goods have no kinks, then (Select all that applies) Group of answer choices a. two consumers who consume both goods must have the same MRS between them, but consumers may consume the goods in different ratios. b. two consumers with the same income who consume both goods must have the same MRS, but if their incomes differ, their MRSs may differ. c. any two consumers who consume both goods must consume them in the same ratio. d. for any two consumers who consume both goods, neither will prefer the other consumer’s bundle to his own. e. all consumers receive the bundle that they prefer to any other bundle the economy could produce for them.
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 Kyoko
Which is the correct answer ? Suppose there are 10 apples and 10 oranges in the economy. Joe is currently consuming 4 apples and 5 oranges, and Jane is consuming 6 apples and 5 oranges. At this allocation, Joe's marginal utility of apples is 3, and his marginal utility of oranges is 5. Jane's marginal utility of apples is 6, and her marginal utility of oranges is 10. The current price of apples is R4 per unit and the current price of oranges is R5 per unit. To reach a competitive equilibrium, the required price adjustment is: A. A decrease in the orange price relative to the apple price. B. A decrease in the apple price relative to the orange price. C. No change in the relative prices. D. An increase in both prices.
3. Jane is currently consuming 4 glasses of milk and 10 cookies, while Betty is consuming 9 glasses of milk and 3 cookies. Jane views milk and cookies as perfect substitutes (her MRS is 1), while Betty prefers cookies to milk and is willing to give up 3 glasses of milk to get 1 cookie. Is the current allocation of milk and cookies Pareto efficient? Explain with use of a diagram.
| Two people trade two goods that they cannot produce. Suppose that one Mary's indifference curves are bowed away from the origin-the usual type of curves-but Joe's are concave to the origin. In an Edgeworth box, show that a point of tangency between the two consumers' indifference curves is not a Pareto efficient bundle. (Identify another allocation that Pareto dominates.) Put Mary on the southwest corner and Joe on northeast corner.
Grapes and bananas are perfect complements for Jane and Betty. Jane eats one grape per three bananas.; Betty eats three grapes per one banana. Once they go to sports for hours, Jane had 20 grapes and 10 bananas and Betty had 10 grapes and 20 bananas. (assume that grapes and bananas can be divided into half) 1.Show all Pareto optimal allocations of grapes and bananas between Jane and Betty in the Edgeworth Box. Draw a bunch of indifference curves and look for tangencies.
Smith and Jones are stranded on a desert island. Each has in her possession some slices of ham (H) and cheese (C). Smith prefers to consume ham and cheese in the fixed proportion of 2 slices of cheese to each slice of ham. Her utility function is given by Us = min(10H, 5C). Jones, on the other hand, regards ham and cheese as substitutes – she is always willing to trade 3 slices of ham for 4 slices of cheese, and her utility function is given by UJ = 4H + 3C. Total endowments are 100 slices of ham and 200 slices of cheese. a. Draw the Edgeworth Box diagram for all possible exchanges in this situation. What is the contract curve for this exchange economy? b. Suppose Smith’s initial endowment is 40 slices of ham and 80 slices of cheese (Jones has the remaining ham and cheese as her initial endowment). What mutually beneficial trades are possible in this economy and what utility levels will Smith and Jones enjoy from such trades? c. Now imagine a new endowment in which Smith has 60 slices…
If an allocation is already Pareto efficient and if indifference curves between the two goods have no kinks, then a. two consumers who consume both goods must have different MRS's between them, but consumers may consume the goods in different ratios. b. two consumers with the same income who consume both goods must have the same MRS, but if their incomes differ, their MRS's may differ. c. any two consumers who consume both goods must always consume them in the same ratio. d. one consumer can be made better off but always at the expense of the other. e. all consumers receive the bundle that they prefer the most among all bundles on the entire Edgeworth box.
Remy and Emile consume only cheese (x,) and strawberries (x2). Remy's preferences are described by UR = min{xf, 2x5}while Emile's preferences are described by UE = xf + x5 . Remy has 8 pieces of cheese and 1 pint of strawberries while Emile has 4 pieces of cheese and 3 pints of strawberries. (a) Draw an Edgeworth box with x, on the horizontal axis and x, on the vertical axis. Position Remy on the bottom left corner and Emile on the top right corner. Indicate the total number of units of x, and x2. Label the endowment allocation. Show Remy's and Emile's indifference curves. (b) Derive the equation of the contract curve. In your graph in (a), draw the contract curve. (c) Set x1 as the numeraire, i.e., assume p, = 1 and p2 = p. Find the competitive equilibrium. Hint: For Emile to consume at a Paretoefficient allocation, what should the prices be? (d) Redraw the Edgeworth box. Indicate the equilibrium allocation, e. Draw the equilibrium budget line.
Brienne starts with 10 food and 10 clothing. Jaime starts with 10 food and 20 clothing.1. Represent the initial allocation in an Edgeworth box.2. Brienne regards the two goods as 1-for-1 substitutes, while Jaime regards the two goodsas 1-for-1 complements. In your Edgeworth Box, shade the allocations that are Paretosuperior to the initial allocation.
The following table shows Ellie's utility from consuming slices of pie and cans of 7 - Up. Slices of Pie 0 1 23456 Marginal Utility Cans from Last Slice of 7-Up 0 1 2 120 100 80 60 40 20 234 5 6 Marginal Utility from Last Can 120 60 45 30 20 15 Suppose Ellie has $6 per week to spend on pie and 7 - Up and that the price of a slice of pie is $1.00. 1.) Use the point drawing tool to plot Ellie's demand for 7-Up at a price of $2.00. Label this point 'A'. 2.) Use the point drawing tool to plot Ellie's demand for 7- Up at a price of $0.50. Label this point 'B'. 3.) Use the line drawing tool to connect the dots to form Ellie's demand curve. Properly label this line. Carefully follow the instructions above, and only draw the required objects. Price of 7-Up 12 4.5- 4- 3.5- 3- 2.5- 2- 1.5- 1- 0.5- 0- 3 4 Quantity of 7-Up 5