A child is given $8.80 of pocket money to be spent on either hard candies or chocolates. Chocolates cost 40 cents and hard candies 80 cents each. The marginal utilities derived from each product are as shown in the following table: Number of MU of MU of Hard Items Chocolates Candies 60 150 2 50 140 3 40 120 4 30 100 20 80 6 10 70 7 5 50 8 20 Refer to the above table. Which combination would give the child the maximum utility out of spending $8.00? 4 chocolates and 6 hard candies 6 chocolates and 8 hard candies 2 chocolates and 4 hard candies
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- Explain why individuals make Choices that are directly on the budget constraint, rather than inside the budget constraint DI outside it.What are four responses to the claim that people should not behave in the way described in this chapter?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.
- In May and June, Tammy spent all her clothing budget on bathing suits and beach bags. Each bathing suit costs $75. At Tammy's optimal choice, her marginal utility from the last bathing suit purchased is 300 and her marginal utility from the last beach bag purchased is 200. This means that each handbag must cost: a. $50 b. $25 c. $100 d. $150Consider Laura who makes $1,400 per week and just won a ‘set for life’ lottery ticket which involves a fortnightly payment of $10,000 for 20 years. Currently she works 35 hours per week. Do the following: 1. Illustrate the effect of the lottery win on lauras budget constraint using a fully labelled diagram where i) the horizontal axis represents the hours of free time per week, and ii) the vertical axis represents lauras weekly consumption. 2. Illustrate on the same diagram lauras optimal decisions before and after the lottery win along with his indifference curves. 3. Based on your diagram, discuss whether Laura will quit her job.Consider Alexei who makes $1,400 per week and just won a ‘set for life’ lottery ticket whichinvolves a fortnightly payment of $10,000 for 20 years. Currently he works 35 hours per week. Nowdo the following:• Illustrate the effect of the lottery win on Alexei’s budget constraint using a fully labelleddiagram where i) the horizontal axis represents the hours of free time per week, and ii) thevertical axis represents Alexei’s weekly consumption.• Illustrate on the same diagram Alexei’s optimal decisions before and after the lottery winalong with his indifference curves.
- The president of LeTall University, President John, spends $30 per week on pizzas (qz)and beers (qb). At LeTall Pizza, his go-to pizza joint, pizza costs $3 per slice and beeralso costs $3 per can. Assume fractions of the goods are allowed.(a) Draw President John’s budget line (qb on the horizontal and qz on the vertical axis).(b) President John receives a coupon from LeTall Pizza. The coupon, which will expirein a week, allows him to buy a can of beer at a discounted price of $1 per can. Itis, however, only good for a dozen cans of beer. Draw President John’s budget lineunder the coupon. Label any critical points on the budget line.(c) In another week, LeTall Pizza offers a special deal for pizza. For every half dozenslices of pizza bought during the week, one can get two additional slices for free.Draw President John’s budget line under the special deal. Label any critical pointson the budget line.Suppose that Abel and Eden spend their incomes on two goods, food (F) and clothing (C).Abel’s preferences are represented by the utility function U(F,C)=10FC, while Eden’spreferences are represented by the utility function U(F,C)= 0.20F2C2A) With food on the horizontal axis and clothing on the vertical axis, identify on a graph theset of points that give Abel the same level of utility as the bundle (10, 5). Do the same forEden on a separate graph.B) On the same two graphs, identify the set of bundles that give Abel and Eden the samelevel of utility as the bundle (15, 8).C) Do you think Abel and Eden have the same preferences or different preferences? ExplainConsider Justin who makes $1,400 per week and just won a ‘set for life’ lottery ticket whichinvolves a fortnightly payment of $10,000 for 20 years. Currently he works 35 hours per week. Nowdo the following: • Illustrate the effect of the lottery win on Justins budget constraint using a fully labelleddiagram where i) the horizontal axis represents the hours of free time per week, and ii) thevertical axis represents Justins weekly consumption. • Illustrate on the same diagram Justins optimal decisions before and after the lottery winalong with his indifference curves. • Based on your diagram, discuss whether Justin will quit his job.
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