Peter spends all of his income on X and Y. Given that when price of X is 3 and the price of Y is 5, Peter will buy 18 units of X and 4 units of Y. We refer it as Burden A. Meanwhile, there is another bundle called Burden B. In Burden B, there are 10 units of X and 10 units of Y. So, it is believed that there is not enough information to tell whether Peter prefers A or B. < Do you agree with this statement? Why?

Peter spends all of his income on X and Y. Given that when price of X is 3 and the price of Y is 5, Peter will buy 18 units of X and 4 units of Y. We refer it as Burden A. Meanwhile, there is another bundle called Burden B. In Burden B, there are 10 units of X and 10 units of Y. So, it is believed that there is not enough information to tell whether Peter prefers A or B. < Do you agree with this statement? Why?

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter15: Strategic Games

Section: Chapter Questions

Problem 15.2IP

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If Ty's marginal utility for a cup of coffee is 20 and his marginal utility of a donut is 10, then A. they should both be purchased. B. coffee should be his next purchase. C. a donut should be his next purchase. D. price information is also needed to determine what Ty should purchase next.
Exercise 2. In order to encourage energy conservation, many public utility companies charge consumers a higher rate on units of electricity consumed in excess of some threshold amount. In contrast, a common practice by other firms is to offer “quantity discounts” to consumers who purchase large quantities of a good. Suppose income is $100, PX = $2 if theconsumer buys less than 40 units of X, and PY = $5.A. For the energy case, assume PX = $3 if the consumer buys more than 40 units of XB. For the “quantity discounts” case, assume PX = $1 after 40 units of X were consumed Draw the budget constraints in each of the cases above. What are the implications of the opportunity sets in terms of consumer behavior to consume each of the products?
f we observe a consumer choosing (x1, x2) when (y1, y2) is available one time, are we justified in concluding that (x1, x2) (y1, y2)?
Bart and Lisa are both optimizing consumers in the market for shirts and hats, where they pay $100 for a shirt and $50 for a hat. Bart buys 8 shirts and 4 hats, while Lisa buys 6 shirts and 12 hats. From this information, ignoring the minus sign, we can infer that Bart's marginal rate of substiution is _________ hats per shirt, while Lisa's is __________ hat's per shirt
Because Income depends on work effort and work effort depends on nutrition, suppose the relationship between income (Y) and total food availability (F) in a poor household is given by: Y = 10F + 20F2 – 0.6F3 a) If food availability in a two-person household is 20, would it be “rational” to share the food? Explain. b) If food availability in a two-person household is 30, would it be “rational” to share the food? Explain.
Suppose that the initial allocation is point a between Ross and Rosa. A. Discuss how Ross’s condition be made better off without harming Rosa (i.e., Rosa maintains her level of utility). B. Illustrate this in a separate diagram and label point/s as necessary (also, if other point/s will have to be made or incorporated).
In order to encourage energy conservation, many public utility companiescharge consumers a higher rate on units of electricity consumed in excess of some threshold amount. In contrast, a common practice by other firms is to offer “quantity discounts” to consumers who purchase large quantities of a good. Suppose income is $100, PX = $2 if the consumer buys less than 40 units of X, and PY = $5.A. For the energy case, assume PX = $3 if the consumer buys more than 40 units of XB. For the “quantity discounts” case, assume PX = $1 after 40 units of X were consumed Draw the budget constraints in each of the cases above. What are the implications of the opportunity sets in terms of consumer behavior to consume each of the products?
If the consumer thinks that (x₁,x2) is at least as good as (y₁.42) and that (y₁y2) is at least as good as (x₁,x2), we can conclude that (look at the following options)
Suppose X = R k + for some k ≥ 2, and we define x = (x1 , …, xk ) ≥ = (y1 , …, yk ) if x ≥ y; that is, if for each i = 1, …, k, xi ≥ yi . (This is known as the Pareto ordering on R k + ; it plays an important role in the context of social choice theory in Chapter 8.) (a) Show that ≥ is transitive but not complete. (b) Characterize ≥ Is asymmetric? Is≥ Negatively transitive? Prove your assertions. (c) Characterize ~ defined from ≥ in the usual fashion; that is, x ~ y if x ≥ y and y x. Is ~ reflexive? Symmetric? Transitive? Prove your assertions.
Sanjay won a poker game against his friends. Now he has to choose between $600 (the winnings) and the chance to play a new game. In this new game, Sanjay has a 50% chance of winning nothing and a 50% chance of winning $1000. The following graph presents the utility function of Sanjay with respect to money: 1. By how much money would his winnings need to increase or decrease so that Sanjay isindifferent between the $600 and the new game? At a different table, Juan wins $800 in a blackjack game. Similarly, he has to choose between $800 or the chance to win a new game. In this game, Juan has a 45% chance of winning nothing and a 55% chance of winning $1000. The following graph presents the utility function of Juan with respect to money: 2. By how much money would his winnings need to increase or decrease so that Juan is indifferent between the $800 and the new game? Please enter a positive number for an increase or a negative number for a decrease.
If we observe a consumer choosing (x1, x2) when (y1, y2) is available onetime, are we justified in concluding that (x1, x2) (y1, y2)?
4. Show how to construct the reference dependent utility function for two friends Kate and Mary whose gains and losses are listed as follows : Kate's net worth is $ 4.5 million ( decreased from $ 5.5 to $ 4.5 million ) Mary's net worth $ 3.2 million ( increased from $ 3 to $ 3.2 million ) ( First determine the reference point ( use a parameter ) and then derive reference utility function for each ) .