ALTERNA TIVES Fi VL Portfolio U Portfolio V Portfolio W Recessi on $25 $ 47 $50 .3 n Inflatio Depressi $75 $ 70 $80 TES OF N 5 ATURE on $0 $-5 $ 15 - .2 1. DMUU: What would be the decision according to: (1) Maximax (optímísm); (2) Maximin (pessimism); (3) R ealism where Alpha - α = .7 (4) Equal Likelihood; and (5) Minimizing Regret? Be sure to show work, indicate the recommended alternative each time, provide a summary table (see below), and support your final statement with a
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- EXERCISE 1Below is a production possibilities table for consumer goods (Food) and capital goods(Robots):A B C D EFood 0 1 2 3 4Robots 10 9 7 4 01. Show these data graphically. Upon what specific assumptions is this productionpossibilities curve based?2. If the economy is at point C, what is the cost of one more food? Of one morerobot? Explain how the production possibilities curve reflects the law ofincreasing opportunity costs.3. If the economy characterized by this production possibilities table and curvewere producing 3 food and 2 robots, what could you conclude about its use ofavailable resources?4. What would production at a point outside the production possibilities curveindicate? What must occur before the economy can attain such a level ofproduction?EXERCISE 2Explain how (if at all) each of the following affects the location of a country’s productionpossibilities curve:1. The quality of education increases.2. The number of unemployed workers increases.3. A new technique…Suppose Jessica has two choices: receive $12000 and 30 utils or take a gamble that has a 55% chance of a $20000 and 45 utils, and a 45% chance of a $0 payoff and zero utility. Assuming Jessica is a utility maximizer, what will she likely choose? a) Jessica will not take the gamble b) Jessica will take the gamble c) It cannot be determined d) Jessica is indifferent. Evaluate whether it violated or justify WARP conditionality: A consumer makes the following choices (when you develop the matrix, show the calculation process for the first row) a. At prices (p1,p2)=($4,$4) the choice was (x1,x2) = (20,4). b. At (p1,p2)=($2,$2) the choice was (x1,x2) = (10,10). c. At (p1,p2)=($2,$4) the choice was (x1,x2) = (10,8).
- Wherein:TU = Total Utilityf= is a function ofMU = Marginal UtilityO = units of consumptionA= infinitesimal change EMV= Expected Monetary ValueBurt from Workouts 4.3hasu = (x + 2)(y + 10),m =110,pX= 20, pY= 5. Next month the prices will be pX= 5, pY= 5. Provide a labelled Indifference Curve and Budget Line Diagram to illustrate and quantify her Hicksian CV and EV for this price change as bundles A, B, C, and D. Compute and show all intercepts. Her CV = __________. Her EV = __________2) Explain how utility could be used in a decision where performance is not measuredby monetary value.
- Fare F ($/trip) and travel time T (hr/trip) for Bus and Rails are given Bus: F= 40, T = 3 Rail: F = 56, T=2.5 We have a utility function u = -0.005 F -0.1 t * Use the logit model to find the probability of choosing bus * What change in rain rare would achieve the probability of choosing rail to be 55%? * What value use time is implied by the utility function? Start to think about the utility of one-hour a. it will be #% b. #$ c. $20$/hrConsider an individual for whom utility is U = ln(I) There are two states of the world (G,B): Outcome G = 2000 with probability .4 Outcome B = 1000 with probability .6 W1 = 2000 L = 1000 π = .6 Option = invest $50 to lower π to .2 An insurance company is willing to offer a contract in which the individual pays a premium and gets full compensation for the loss (1000) in the bad state. a) With no insurance but the option of investing the $50, what is the utility of the individual? b) What is the first-best outcome for utility of the individual, insurance premium, and profits of the insurance company?Mr Usu has an expected utility function with u(x) = x0.5. He is analyzing an investment opportunity that promises to pay out $1,160 with prob. 0.6 and $2,800 with prob. 0.4. What is the expected utility of this opportunity?
- Consider Bob's decision problem: Sunny Cloudy Rainy Beach 2 3 2 Park 3 3 2 Mall -1 1 x Suppose the probability of Sunny is 0.25, the probability of Cloudy is 0.25, and the probability of Rainy is 0.5. What is the smallest value of x for which Mall is an expected utility maximiser? Round your answer to one decimal place (e.g. 0.5).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 graphicallySuppose seller decreas price by 10% then hiw total revene will affect when ed =1.5 or ed=0.5 or ed=1