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- A 2015 report by the music industry estimated the revenue lost to the industry every yearfrom illegal downloading. In this problem we will derive some of the estimates that may havegone into their calculation (approximately).First, start with the individual consumer’s problem. Suppose a typical consumer has a yearlyentertainment budget of I that they can allocate between music downloads (D) and otherforms of entertainment (E). Consumer preferences are characterized by a utility functionU(D, E). a.) Write an expression for the consumer’s budget constraint as a function of their entertainment budget and the prices of music downloads (Pd ) and other entertainment (Pe). (b) Write the consumer’s constrained optimization problem in Lagrangian form. (Note: Youdo not need to solve it or derive first order conditions.)Jien is just bored all the time; no amount of success makes him happy, it seems. Below is a list of his income for the last several years and the utility he experienced per dollar of income: Year Yearly Income Utility per Dollar Earned 2017 $60,000 2 utils 2018 $70,000 1.8 2019 $100,000 1.5 2020 $120,000 1 2021 $145,000 0.40 From the above, we can say that Jien most likely is different from most people economists study in terms of risk attitudes is "risk loving" will not take a fair bet has a utility of wealth curve that is a straight lineMartha spends 5 hours of free time exercising and playing music per day. The table below represents the level of utility she receives from the various combinations of exercise and music activities. For instance, if she only plays music, her total utility from exercise will be 0, and the utility from music will be 50. If she exercises for 1 hour, she will receive a level of utility of 25. Utility is measured in 'utils'; those numbers are arbitrary and designed to quantify the benefits received from various actions. Utility Utility from from Exercise Music 50 utils O utils from O hours of exercise from 5 hours of music 25 utils for 1 hours of 45 utils from 4 hours of exercise music 40 35 45 20 50 The utility patterns in the table illustrate the law of marginal diminishing utility because ... The total utility Martha receives from music decreases The increase in utility for each additional hour Martha exercises falls The total utility Martha receives from exercise decreases Martha…
- ayesha derives utility from travelling and outdoor dinning o weekends as given utility function U(t,d)=TD.the price of a day spent travelling is $160{Pt=160} and price of dining outdoor $200{Pd=200}.ayesha annual budget for this is $8000. find ayesha's utility maximizing choice of days travelling and dining outside. and alsoo find uutility level from consuming that bundles .show findings graphicallyMartha spends 5 hours of free time exercising and playing music per day. The table below represents the level of utility she receives from the various combinations of exercise and music activities. For instance, if she only plays music, her total utility from exercise will be 0, and the utility from music will be 50. If she exercises for 1 hour, she will receive a level of utility of 25. Utility is measured in ‘utils’; those numbers are arbitrary and designed to quantify the benefits received from various actions. Utility for Exercise Utility from Music 0 utils from 0 hours of exercise 50 utils from 5 hours of music 25 utils for 1 hours of exercise 45 utils from 4 hours of music 40 35 45 20 50 0 Marginal analysis will help Martha in her decision making regarding how to spend her free time because ... All answers are correct. She will realize which activity is more important to her. She will be able to find the combination of music and exercise which gives…Sam's extended family spends $3,200 per month on wine and beer. Their utility function is given by U = 200WB, where W represents the number of bottles of wine that they buy, and B represents the number of cases of beer that they buy. Wine costs $25 per bottle and beer costs $32 per case. Sam's family wants to maximize their utility. Calculate how many bottles of wine and how many cases of beer they should buy. Show your calculation(s).
- 1. A standard model of choice under risk is Expected Utility Theory (EUT) in which preferences over lotteries that pay monetary prizes (x₁, x2, ..., xs) with probabilities (P1, P2, ..., Ps) with Eps = 1 are represented by the function L S (a) What does it mean to say that a function represents the consumer's prefer- ences? Σpsu(xs) Choice 1 8=1 (b) State and briefly comment on the axioms required for the EUT representation. (c) Consider the following experiment of decision making under risk in which sub- jects are asked which lottery they prefer in each of the following two choices: Lottery B 0 with prob. 0.01 10 with prob. 0.89 50 with prob. 0.10 Lottery D Choice 2 Lottery A 0 with prob. 0 10 with prob. 1 50 with prob. 0 Lottery C 0 with prob. 0.90 10 with prob. 0 50 with prob. 0.10 Suppose that the modal responses are Lottery A in Choice 1 and Lottery D in Choice 2. Assume that utility of zero is equal to zero and illustrate why it is not possible to reconcile these experimental…2) Explain how utility could be used in a decision where performance is not measuredby monetary value.You are maxiimizing utility when :A)(MU of X)/(P of X) < (MU of Y)/(P of Y). B)(MU of X)/(P of X) > (MU of Y)/(P of Y). C)(MU of X)/(P of X) = (MU of Y)/(P of Y). D)(MU of X)/(P of Y) = (MU of Y)/(P of X).
- John currently lives in Sydney where he earns $2700 a week as a high school principal. If he moves to Batemans Bay, he has to accept a position as a classroom teacher where he will earn $2100 a week. John only considers two goods, cost of living (c) and health (h). In Sydney, pe = 54 and ph = 90. In Batemans 1 1 Bay, Ph = 36. John's utility function is u(c, h) = h + cihi. a) What is John's optimal consumption of h in Sydney? b) What would be John's optimal consumption of c in Batemans Bay? c) What is the maximum cost of living ph such that John will accept to move to Batemans Bay?Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate for the equivalent variation (EV) for the price change.