Suppose that you are given $40,000 to split between two people, Jane and Fred. The income and marginal utility for each of them is shown in the following table. Amount to Jane Amount to Fred MU of Jane's Last Dollar Spent MU of Fred's Last Dollar Spent $ 5,000 $ 35,000 $ 100 $ 75 $ 8,000 $ 32,000 $ 80 $ 80 $ 11,000 $ 29,000 $ 60 $ 85 $ 14,000 $ 26,000 $ 40 $ 90 $ 17,000 $ 23,000 $ 20 $ 95 Instructions: Enter your answers as a whole number. If you want to maximize their combined utility, how much of the $40,000 should go to Jane? How much should go to Fred? Amount to Jane = S Amount to Fred = S
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- Your gym offers two classes at the same time:weightlifting and yoga. Both classes are includedin your membership and have space available.Your friend tells you he wants to work on hisstrength and take the weightlifting class, but youalways see him in yoga class. Which class giveshim more utility? How do you know this?Praxilla, who lived in ancient Greece, derivesutility from reading poems and from eating cucumbers.Praxilla gets 30 units of marginal utility from her firstpoem, 27 units of marginal utility from her secondpoem, 24 units of marginal utility from her third poem,and so on, with marginal utility declining by three unitsfor each additional poem. Praxilla gets six units ofmarginal utility for each of her first three cucumbersconsumed, five units of marginal utility for each of hernext three cucumbers consumed, four units of marginalutility for each of the following three cucumbersconsumed, and so on, with marginal utility declining byone for every three cucumbers consumed. A poem coststhree bronze coins but a cucumber costs only one bronzecoin. Praxilla has 18 bronze coins. Sketch Praxilla’sbudget set between poems and cucumbers, placingpoems on the vertical axis and cucumbers on thehorizontal axis. Start off with the choice of zero poemsand 18 cucumbers, and calculate the changes in…Jeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either callher on the land-line phone for five cents per minute or he can drive to see her, at a round-trip cost of $2 in gasolinemoney. He has a total of $10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses ahandy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values inTable 6.6, figure out the points on Jeremy’s consumption choice budget constraint (it may be helpful to do a sketch)and identify his utility-maximizing point
- Mylie’s total utility from singing the same song over andover is 50 utils after one repetition, 90 utils after tworepetitions, 70 utils after three repetitions, 20 utils afterfour repetitions, 250 utils after five repetitions, and 2200utils after six repetitions. Write down her marginal utilityfor each repetition. Once Mylie’s total utility beginsto decrease, does each additional singing of the songhurt more than the previous one or less than the previousone?Five consumers have the following marginal utility ofapples and pears:Marginal Utilityof ApplesMarginal Utilityof PearsClaire 6 12Phil 6 6Haley 6 3Alex 3 6Luke 3 12The price of an apple is $1, and the price of a pear is$2. Which, if any, of these consumers are optimizingtheir choices of fruit? For those who are not, howshould they change their spending?Bags of potato chips Total utility Candy bars Quantity Total utility Quantity 1 10 1 8 2 16 2 14 3 18 3 18 4 19 4 21 20 23 Liz consumes two goods, candy bars and potato chips. Her budget is $4 per day. The price of a candy bar is $1.00 and the price of a bag of chips is 50 cents. Her utility is in the table above. For Liz to maximize her utility, what combination of candy bars and potato chips should she eat? O A. 2 candy bars and 4 bags of potato chips O B. 4 candy bars and 0 bags of potato chips OC. 1 candy bar and 5 bags of potato chips O D. 3 candy bars and 2 bags of potato chips O E. None of the above answers are correct.
- NIVERSITY DURAI Consider the following data describing the change in Nora's utility when she consumes various levels of Nuts and chocolate per week, the price per portion for the considered goods are respectively AED 20 and AED10. Nora has a budget equal to 160 per day to spend on her snack. Q Nuts Total UtilityQ Chocolate Total Utility ChocolateMU Nuts MU ChocolateMU/ AEDMU/AED MRS Chocolate Nuts Nuts 40 1 28 72 52 100 3. 72 4 124 88 144 5. 102 160 6. 114 7 172 122 1. Complete the table above by calculating the marginal utility, the marginal utility per dollar spent and marginal rate of substitution for each good. 2. Identify the potential set of equilibrium points Where MUI/P1=MU2/P2 Nuts Chocolate Income 2. 2. 6.9/15/22, 9:52 AM Print Assessment The marginal utility per dollar spent on the last banana consumed is 75. If the price of an apple is $.50, how many apples would Kevin have to consume before he considers purchasing another banana? 7100 2000 199 A C E Number of Apples 2 3 4 5 6 7 6 3 4 QUESTION 3 Total Utility A320 130 180 220 qurum ont 250 270 280 B D 2 5 ob The villu lanipismodi 02.2ai elggs ne to song Cr 081 129T1inU 0136101 023 OTS aslgqA to 19dmulEnrique is a movie buff. He likes to watch on demand movies from his cable company, which cost $5 each, and so likes to go to the local movie house, which charges $15 a ticket. Suppose that given his budget and his tentative spending plans, the marginal utility from a cable movie is 15 utils and the marginal utility of a movie at the local cinema is 45 utils. Assuming he is spending his entire budget, Enrique is currently maximizing his utility Enrique can increase his utility by buying more cable movies and watching fewer cinema movies Enrique can increase his utility by buying more cinema movies and fewer cable movies
- Suppose that you are given $20,000 to split between two people, Jane and Fred. The income and marginal utility for each of them is shown in the following table. Amount to Jane Amount to Fred MU of Jane's Last Dollar Spent MU of Fred's Last Dollar Spent $ 5,000 $ 15,000 80 65 $ 7,000 $ 13,000 70 70 $ 9,000 $ 11,000 60 75 $ 11,000 $ 9,000 50 80 $ 13,000 $ 7,000 40 85 Instructions: Enter your answers as a whole number. If you want to maximize their combined utility, how much of the $20,000 should go to Jane? How much should go to Fred? Amount to Jane = $ Amount to Fred = $The table shows the total utility (TU) that James receives from consuming different amounts of two goods X and Y, per month. Quantity TUx MUx MUx/Px TUy MUy MUy/Py 0 0 0 0 0 0 0 1 50 50 16.67 75 75 25.00 2 88 38 12.67 117 42 14.00 3 121 33 11.00 153 36 12.00 4 150 29 9.67 181 28 9.33 5 175 25 8.33 206 25 8.33 6 196 21 7.00 225 19 6.33 7 214 18 6.00 243 18 6.00 8 229 15 5.00 260 17 5.67 9 241 12 4.00 276 16 5.33 d.How much total utility will James experience by buying the utility-maximizing combination? e.Suppose the price of good Y increases to $6. How many units of X and Y will he buy to maximize his utility now?John likes Coca-Cola. After consuming one Coke, John has a total utility of 10 utils. After two Cokes, he has a total utility of 25 utils. After three Cokes, he has a total utility of 50 utils. Does John show diminishing marginal utility for Coke, or does he show increasing marginal utility for Coke? Supposethat John has $3 in his pocket. If Cokes cost $1 each and John is willing to spend one of his dollars on purchasing a first can of Coke, would he spend his second dollar on a Coke, too? What about the third dollar? If John’s marginal utility for Coke keeps on increasing no matter how many Cokes he drinks, would it be fair to say that he is addicted to Coke?