12. Five consumers have the following marginal utility of apples and pears: Marginal Utility Marginal Utility of Apples of Pears Claire 6 12 Phil 6 6 Haley 6 3 Alex 3 6 Luke 3 12 The price of an apple is $1, and the price of a pear is $2. Which, if any, of these consumers are optimizing their choices of fruit? For those who are not, how should they change their spending?
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- Jeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either call her 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 gasoline money. He has a total of 10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses a handy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values in Table 6.6, figure out the points 011 Jeremys consumption choice budget constraint (it may be helpful to do a sketch) and identify his utility-maximizing point.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.Praxilla, who lived in ancient Greece, derives utility from reading poems and from eating cucumbers. Praxilla gets 30 units of marginal utility from her first poem 27 units of marginal utility from her second poem 24 units of marginal utility from her third poem, and so on, with marginal utility declining by three units for each additional poem. Praxilla gets six units of marginal utility for each of her next three cucumbers consumed, five units of marginal utility for each of her next three cucumbers consumed, four units of marginal utility for each of the following three cucumbers consumed, and so on, with marginal utility declining by one for every three cucumber consumed. A poem costs three bronze coins hut a cucumber costs only one bronze coin. Praxilla has 18 bronze coins. Sketch Praxillas budget set between poems and cucumbers, placing poems on the vertical axis and cucumbers on the horizontal axis. Start off with the choice of zero poems and 18 cucumbers, and calculate the changes in marginal utility of moving along the budget line to the next choice of one poem and 15 cucumbers. Using this step-by-step process based on marginal utility, create a table and identify Praxillas utility—maximizing choice. Compare the marginal utility of the two goods and the relative prices at the optimal choice to see if the expected relationship holds. Hint: Label the table columns: 1) Choice, 2} Marginal Gain from More Poems, 3) Marginal Loss from Fewer Cucumbers, 4) Overall Gain or Loss, 5) Is the previous choice Optimal? Label the table rows: 1) 0 Poems and 18 Cucumbers, 2) 1 Poem and 15 cucumbers, 3) 2 Poems and 12 cucumbers, 4) 3 Poems and 9 Cucumbers, 5) 4 Poems and 6 cucumbers 6) 5 Poems and 3 Cucumbers, 7) 6 Poems and 0 Cucumbers.
- Is it possible for total utility to increase while marginal utility diminishes? Explain.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?11:55 The table below shows the per unit prices and marginal utility for the last unit of waffles and donuts that Luke purchased. Waffles Price per unit Marginal utility Luke spent all of his allocated budget on waffles and donuts. To maximize his utility, Luke should purchase O fewer of both goods O fewer waffles and more donuts O equal amounts of both goods O more both goods O more waffles and fewer donuts $25 Donuts 50 $10 50
- Bill gets 100 utils from eating one candy bar per day. He gets 120 utils from eating two candy bars per day. Calculate the marginal utility. O. 220 utils 100 utils 120 utils 20 utils Tamera calculates her utility for two hours of studying each day to be 300 utils. Her total utility for three hours is also 300 utils. Calculate the marginal utility. 300 utils 600 utils O 150 utils no marginal utility39. The following chart shows the total utility that Ammar receives from conşuming various amounts of chocolate candy bars each day: Number candy bars consumed per day Total utility 40 2. 70 3. 90 100 80 Which of the following statements about Ammar's marginal utility is correct? a) His marginal utlty from the first candy bar is greater than his marginal utility from the second candy bar b. His marginal utility from the fourth candy bar is greater than his marginal utility from the third candy bar c. His marginal utility increases at a constant rate d. His greatest marginal utility comes from his consumption of the fourth candy barMartha 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 from 5 hours of O utils from O hours of exercise music 25 utils for 1 hours of exercise 45 utils from 4 hours of music 40 35 45 20 50 The utility patterns in the table illustrate the law of marginal diminishing utility because... LO
- Quanity Utility from Video Games Utility from Novels Marginal Utilty Video Games Marginal Utilty Novels Marginal Utilty per Dollar Video Games Marginal Utilty per Dollar Novels 0 0 0 1 30 30 2 40 38 3 48 44 4 54 46 5 58 47 The table shows the utility that Mark gets from the consumption of video games and novels. Mark has $100 per month to spend on video games and novels. Video game cost $20 each and novels cost$20 Calculate Mark’s utility from Video game Novels Calculate the MU per dollar of Mark’s consumption choices State the optimal number of video games and the optimal number of novels that Mark will conume in a month. State how each of the following will affect the quantity of VG and N consumed by Abina An increase in the money she has to spend by $20, ceteris paribus An increase in the price of ONE of the goods, ceteris paribusYou like to eat apples and carrots. The graph shows your budget for both of these items at Harris Teeter. The table shows your total utility when you consume apples or carrots. Given this, what is your optimal consumption point? Carrots 30 40 50 30- 23 O a. A O b. E O c. F O d. C 15 10 5 A B Apples (Quantity) Total Utility Carrots (Quantity) Total Utility 10 100 20 10 20 30 40 50 Apples 190 C 270 330 360 5 10 15 20 23 25 30 50 95 160 205 240 250 280The table below shows Fiona's marginal utility for hot dogs and peanuts at each quantity. What is her total utility if she consumes 4 hot dogs and 3 peanuts? Quantity of Hot dogs Marginal Utility Quantity of Peanuts Marginal Utility 1 119 1 92 2 111 2 81 3 97 3 70 4 81 4 58 5 62 5 45 6 43 6 31 7 22 7 16