QUESTION 1 The goal of the consumer is to maximize the total utility or satisfaction derived from their purchase choices, given the unique budget constraint. To calculate total utility of a given combination of T-shirts and movies, one would use the following approach: O a. For a given combination of T-shirts and movies, survey a group of individuals to determine an average for utils to be assigned to the number of T-shirts and movies. O b. For a given combination of T-shirts and movies, use Google to identify the number of utils associated with the number of T-shirts and movies and thenum them. O c. For a given combination of T-shirts and movies, assign a number of utils to that combination. O d. Use utils as a measure of utility, assigning a specific number to T-shirts and movies, and then add those together.
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- True/False/Uncertain: 1. In taking an exam, Atack, a rational student, allocates his time to the various questions so as to equalize hismarginal point utility per minute on all questions. 2. The marginal utility of food to Zecher depends only on the amount of food (and not on the amount ofhousing) and the marginal utility declines as more food is consumed; likewise for housing. Therefore,both food and housing are normal goods. (Hint: Express the optimality condition for Zecher’s [UMP], MUF/MUH = PF/PH. Notice that PF/PH is fixed. If all of an increase in income is spent on F, can the equality be maintained?)a. A young connoisseur has $600 to spend to build a smallwine cellar. She enjoys two vintages in particular: a 2001French Bordeaux (wF) at $40 per bottle and a less expensive 2005 California varietal wine (wC) priced at $8. Ifher utility is U (wF, wC))=wF2/3 w C1/3 ,then how much of each wine should she purchase?b. When she arrived at the wine store, this young oenologistdiscovered that the price of the French Bordeaux hadfallen to $20 a bottle because of a decrease in the valueof the euro. If the price of the California wine remainsstable at $8 per bottle, how much of each wine shouldour friend purchase to maximize utility under thesealtered conditions?c. Explain why this wine fancier is better off in part (b)than in part (a). How would you put a monetary value onthis utility increase?Ann can finish a project either this week or next week. The delayed rewardsare 10 in either case. (The project can be done only once or not at all).Next week is busy and the cost of finishing the project are lower thisweek. Theimmediate costs are 4 this week and 6 next week.Ann has a quasi-hyperbolic utility withδ= 1 andβ <1. Imagine that Anndoes not finish the project this week. Then she should finish it next week (A) ifβ >0.6; (B) ifβ >0.4; (C) only ifβ= 1; (D) for anyβ.11. Suppose thatβ= 0.5 and Ann correctly anticipates her choice next week. Thenshe should finish the project (A) this week; (B) next week; (C) never; (D) not enough information. Suppose thatβ= 0.5, and Ann can commit to finish the project next week (e.g.by imposing a heavy cost on herself if the project is not finished nextweek).Then she will (A) do the project this week;(B) commit to do it next week and finish it then;(C) do it next week without commitment;(D) commit and then not finish it.
- Ann can finish a project either this week or next week. The delayed rewardsare 10 in either case. (The project can be done only once or not at all).Next week is busy and the cost of finishing the project are lower thisweek. Theimmediate costs are 4 this week and 6 next week.Ann has a quasi-hyperbolic utility withδ= 1 andβ <1. Imagine that Anndoes not finish the project this week. Then she should finish it next week (A) ifβ >0.6; (B) ifβ >0.4; (C) only ifβ= 1; (D) for anyβ.11. Suppose thatβ= 0.5 and Ann correctly anticipates her choice next week. Thenshe should finish the project (A) this week; (B) next week; (C) never; (D) not enough information. Suppose thatβ= 0.5, and Ann can commit to finish the project next week (e.g.by imposing a heavy cost on herself if the project is not finished nextweek).Then she will (A) do the project this week;(B) commit to do it next week and finish it then;(C) do it next week without commitment;(D) commit and then not finish it. Can you…Suppose that a consumer has a choicebetween two goods, X and Y. If the price of X is $2 and the priceof Y is $3, how much of X and Y does the consumer purchaseper period, given an income of $17 per period? Use the followinginformation about marginal utility:Units MUX MUY1 10 52 8 43 2 34 2 25 1 2Roxanne is considering chipping in to pay for some tree trimming in her neighborhood. If the trees are trimmed, everyone's view improves by the same amount. Roxanne's utility function is given by u(x,t)=3x+1200t, where x is the amount of money she has to spend and t is a variable that equals 1 if the trees are trimmed and 0 if they are not. 1st attempt See Hint Suppose Roxanne starts with $8000. Her utility of that amount of money without the trees being trimmed is 24000 (that is, u(8000,0)=24000). Calculate her reservation price for contributing to the tree-trimming project. $
- heABCCompanyLtd.HasapproximatedthemarginalrevenuefunctionforoneofitsproductsbyMR=20x – 2x 2 .ThemarginalcostfunctionisapproximatedbyMC=81 – 16x+x 2 .Determinetheprofitmaximizingoutput,thetotalprofit,thetotalrevenuefunction,anddemandfunctionSanjay 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.Wherein:TU = Total Utilityf= is a function ofMU = Marginal UtilityO = units of consumptionA= infinitesimal change EMV= Expected Monetary Value
- . 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).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…please only do: if you can teach explain each partc: what does it mean? can you show graphs: show WARP : If the consumer’s wealth is high enough that both bundles can buy with both prices then WARP violates If the consumer may not be spending all of her wealth, are her choices consistent withthe Weak Axiom of Revealed Preference (or is it impossible to determine)?: If the consumer’s wealth is high enough that both bundles are aordable atboth prices then WARP violates. why? Therefore, it is notpossible to know