For the given life time budget constraint;C, +C2 = W11 +rdetermine C1 and C2 to maximize the following utility function1 CUt1- 0+1+p1 – 01p = 1 r= 0,5 w = 220220)||

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Answered: For the given life time budget…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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A gambling game requires people to place bets on either "Big" or "Small" or "Seven" designating the result of two dice throws. Big represents a sum of 8 to 12, while small is from 2 to 6. The special space "seven" is reserved for, of course, 7. Betting on "Big" provides a 1:1 betting win ratio amount. (Ex: Any bet amount of X, will net the winner another amount X, and still get his bet amount X back. ) Betting on "Small" also provides a 1:1 betting win ratio. The space "Seven" gives a 1:5 win ratio amount: Betting 100 money units on "Seven" and having a result of 7 nets the bettor 500 money units, and still have his 100 money units returned to him. If your bet does not appear, then the player loses his/her bet. What is the net Expected value of the strategy of betting 100 money units on "Big" ? Give your answer to two decimal places.
The dung beetle gets utility from consuming mud balls which are made out of mud and dung. Both inputs are measured in grams and perfectly divisible. Its utility from balls which contain m grams of mud and d grams of dung is u(m, d) = md. For reasons to do with the structural integrity of the balls, however, it cannot combine the two ingredients in very different quantities. The ratio of mud and dung it uses must fall between 1 : 2 and 2 : 1. Excess amounts of either ingredient are discarded at no cost to the dung beetle. (a) How much utility does the beetle get from the following bundles of mud and dung, (m, d)? i. (2,16). ii. (4,8). iii. (4,16). iv. (6,16/3). (b) Draw an indifference curve between mud and dung that represent the preferences of the dung beetle and gives the beetle a utility level of 32.
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6. If intertemporal preferences are consistent and the lifetime utility function is additive, then the discount function 8(t) must be (a) bounded (b) exponential (c) hyperbolic (d) linear (e) logarithmic
3.7 Suppose that A> B> C> D and that the utilities of these alternatives satisfy U(A) + U (D)=U (B) + U(C). Is it true that U (B+C) is greater than U (A + D) because the former has a smaller variance? Why or why not?
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(a) Will dynastic preferences, such as those discussed in Section 5.2, lead to infinite-horizon maximization if the instantaneous utility functions of future generations are different (ut(.) potentially different for each generation t)? (b) How would the results be different if an individual cares about the continuation utility of his offspring with discount factor β, but also cares about the continuation utility of the offspring of his offspring with a smaller discount factor δ?
Merge the two budget constraints into a single lifetime budget constraint by eliminating savings from the system of two constraints.

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For the given life time budget constraint; C, + C2 = W1 1 +r determine C1 and C2 to maximize the following utility function 1 C Ut 1- 0 + 1+p1 – 0 1 p = 1 r= 0,5 w = 220 220) ||