Leila currently buys 6 trips using public transportation with a marginal utility of 2, and 4 trips using ride-share with a marginal utility of 8. Suppose that the price of a trip through public transport is 12 and the price of a trip through ride share is 56. Is Leila currently maximizing her utility? Explain why or why not. If not, what is the optimal action to improve her utility?
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- Would you expect total utility to rise or fall with additional consumption of a good? Why?Take Jeremys total utility information in Exercise 6.1, and use the marginal utility approach to confirm the choice of phone minutes and round trips that maximize Jeremys utility.Elapsed time (in minutes) 30 60 90 120 150 Total utility of playing video games 20 45 63 78 83 Total utility of swimming 40 62 72 76 76 Jenny spends an average of $3 each hour she plays video games. What is her marginal utility per dollar for the second half hour?
- You have 6 hours to study for 2 exams tomorrow. The relationship between the time studying and test scores is shown below. Economics Psychology Hours 0 1 2 3 134 4 5 6 Score 55 3 70 70 63 76 81 85 88 Hours 0 1 2 3 4 5 6 Score 55 16 70 73 75 75 66 76 a. Use the rule for determining optimal purchases to decide how many hours you should study each subject. Treat each point on an exam like 1 unit of utility and assume you are equally interested in doing well in economics and psychology. You should study economics for hours and psychology for hours.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? Suppose that 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? *use tables and/or graphs if possible, please original work8. Jane lives in a dormitory that offers soft drinks and chips for sale in vending machines. Her utility function is U 3SC (where S is the number of soft drinks per week and C the number of bags of chips per week), so her marginal utility of S is 3C and her marginal utility of C is 3S. Soft drinks are priced at £0.50 each, chips £0.25 per bag. a. Write an expression for Jane's marginal rate of substitution between soft drinks and chips. b. Use the expression generated in part (a) to determine Jane's optimal mix of soft drinks and chips. c. If Jane has £5.00 per week to spend on chips and soft drinks, how many of each should she purchase per week?
- 7. Bob receives utility from days spent traveling on vacation domestically (D) and daysspent traveling in a foreign country (F) as given by the utilityU(D; F) = DFThe price of a day spent traveling domestically is 160 pounds and in a foreigncountry 200 pounds. Bobís annual budget for traveling is 8000 pounds. (a) Find Bobís utility maximising choice of days traveling domestically and of daystravelling in a foreign country. Find also his utility level from consuming thatbundle. Suppose that the price of domestic traveling increases to 250 pounds per day.Denoting his budget for traveling x, (suppose by now that it is unknown) findthe demand for D and F under the new prices as a function of x.Enrique 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 moviesthrough 6. Elapsed time (in minutes) 30 60 90 120 150 Total utility of playing video games 20 45 63 78 83 Answer here 1 Total utility of swimming 40 22666 72 76 76 Jenny spends an average of $3 each hour she plays video games. What is her marginal utility per dollar for the second half hour?
- 2. Tom spends all his $100 weekly income on two goods, apples and bananas. His utility function is given by U (A, B) = AB, where A and B stand for the quantity of apples and bananas consumed by Tom. If PA = $4 and PB= $10, how many apples and bananas will he consume? Make sure you write out the utility maximization problem explicitly, including the decision variable(s). What if his utility function is given by U (A, B) = A0.5B 0.5?Mylie's total utility from singing the same song over and over is 70 utils after one repetition, 110 utils after two repetitions, 140 utils after three repetitions, 160 utils after four repetitions, 120 utils after five repetitions, and 60 utils after six repetitions, as shown in the table below. a. Write down her marginal utility for each repetition. Instructions: Enter your answers as a whole number. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. Repetitions 0 1 2 3 4 5 6 Total Utility Marginal Utility 0 70 110 140 160 120 60 b. Once Mylie's total utility begins to decrease, does each additional singing of the song hurt more than the previous song or less than the previous song? O More than the previous song O Less than the previous songWhat is the total utility at 3 units and the marginal utility when Jenna goes from consuming two units to three units pears? Quantity Marginal Utility 1 35 2 25 3 15 4 10 5 0 6 -5 Group of answer choices Total utility = 75 ; Marginal Utility = 15 Total utility = 75 ; Marginal Utility = 10 Total utility = 40 ; Marginal Utility = 15