3. Juliette spends $48 each month on Oreo cookies (which cost $2 per package) and salt and vinegar chips (which cost $3 per bag). a) Suppose that the price of chips falls to $2 per bag and Juliette increases her chip consumption to 8 bags each month. Draw Juliette's new budget constraint and indicate her chosen bundle with an appropriately drawn indifference curve. Label her utility-maximizing bundle with the letter B. (Be sure to determine the right quantities of both chips and Oreos!) %3D %3D
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- 3. Juliette spends $48 each month on Oreo cookies (which cost $2 per package) and salt and vinegar chips (which cost $3 per bag). a) Suppose that at current prices, Juliette purchases 6 bags of chips each month. Draw an indifference curve tangent to Juliette's budget constraint consistent with this choice (assume Juliette is maximizing her utility). Label her chosen bundle with the letter A. How many packages of Oreos does Juliette buy?Kim has $40 per week in her entertainment budget. She splits her time between going to the movies and yoga classes. Each movie costs $10 while each yoga class costs $5. a. Graph Kim’s budget constraint, with movies on the x-axis and yoga on the y-axis. What is the value of the x-intercept? What is the value of the y-intercept? What is the slope of this budget constraint? Suppose the total utility from each of these activities is listed in the table below. What is Kim's utility maximizing point? Movies Total Utility Yoga Classes Total Utility 0 0 0 0 1 40 1 30 2 70 2 55 3 90 3 75 4 95 4 90 5 100 5 100 6 105 6 105 movies and yoga classes How much total utility does she obtain from this combination? c. Suppose the price of movies drops to $5 each. What is her new optimal consumption choice? The new slope of her budget constraint is? Kim will choose to consume how many movies and how many yoga…3) Suppose Joe's utility for lobster (L) and soda (S) can be represented as U =10.5 50.5 MUL=0.5 L -0.5 s0.5, MUs=0,5 L0.5 s-0.S. Joe walks into a restaurant with $72. Lobsters cost $18 each and sodas cost $2 each. How much lobster and soda will Joe consume if he intends to spend all his money? (There are no tax and no tips.)
- Take Jeremy’s 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 Jeremy’s utility. 6.1Jeremy 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.2. Eren's two main hobbies are taking vacations overseas (V) and eating expensive meals (M). His utility function is given as: U(V,M) = V²M Last year, the average price of taking a vacation overseas was US$200 and the average price of an expensive meal is $50. However, due to supply problems in Onions, the average price of an expensive meal rose to $75. The average price of a vacation did not change. His income, which is $1500, did not change. a. b. C. Calculate the change in consumer surplus from consuming the expensive meals considering the price change (Hint: you need to compare his optimal consumption bundle before and after the price change to get the change in CS). Suppose that the Department of Welfare wants to know how much should be given to Eren to offset his change un utility due to the price increase of an expensive meal. Calculate the compensative variation (CV). Calculate for the equivalent variation (EV) for the price change.3. Finding the optimal combination of two goods - $2. Suppose that Larry buys Larry enjoys consuming both cheese and fruit. Each pound of cheese costs Pc = $1, and each pound of fruit costs PF 300 pounds of cheese and 200 pounds of fruit per year. The following graphs show his marginal utility curves for cheese and fruit. At his current consumption level, Larry's marginal utility from consuming the last pound of cheese he bought is MUC S 30 utils per pound, and his marginal utility from consuming the last pound of fruit he bought is MUF = 30 utils per pound. 60 40 30 IL 20 10 400 500 600 50 40 A 30 B C D 20 10 0 0 100 Is Larry currently maximizing his utility? Combination 200 300 CHEESE (Pounds per year) 300, 30 (Pounds per Year) 200 400 300 No; he could buy less cheese and more fruit, not spend any more money, and be better off. O No; he likes fruit and cheese more than other goods, so he should buy more of both. O No; he could buy more cheese and less fruit, not spend any more money,…
- 5. Jonas purchases only two goods, starfruit (S) and kiwi (K). He has an income of $60 and can buy starfruit at $2 per pound and kiwi at $3 per pound. His utility function is U(S,K)=3S+4K. That is, his (constant) marginal utility for starfruit is 3 and his marginal utility for kiwi is 4. What bundle of starfruit and kiwi should he purchase to maximize his utility? Why?Currently, Paula is maximizing utility by purchasing five TV dinners (T) and four LeanCuisine Meals (L) each week. Suppose both T and L cost $5 each.a. Graph Paula’s initial utility-maximizing choice.b. Suppose the price of T falls by $1 and the price of L rises by $1.25. Can Paula stillafford to buy her initial consumption choices? What do you know about her new budgetconstraint?c. Make a new graph to show why Paula will choose to consume more T and less Lgiven her new budget constraint to maximize utility. Is her utility increased, decreased,or unchanged given the price change? [Hint: try to make the graph as big as possible tosee how the utility is tangent/intersects with the lines more easily] d. In part (b), suppose another scenario where the price of T rises by $1 and the priceof L falls by $1.25. Is Paula’s utility increased, decreased, or unchanged given the pricechange?8. Donald derives utility from only two goods, carrots (Qc) and donuts (Qd). His utilityfunction is as follows:U(Qc,Qd) = (Qc)(Qd)The marginal utility that Donald receives from carrots (MUc) and donuts (MUd) aregiven as follows:MUc = Qd MUd = QcDonald has an income (I) of $120 and the price of carrots (Pc) and donuts (Pd) are both$1.a. What is Donald's budget line?b. What is Donald's income-consumption curve?c. What quantities of Qc and Qd will maximize Donald's utility?d. Holding Donald's income and Pd constant at $120 and $1 respectively, what is Donald'sdemand curve for carrots?e. Suppose that a tax of $1 per unit is levied on donuts. How will this alter Donald's utilitymaximizing market basket of goods?f. Suppose that, instead of the per unit tax in (e), a lump sum tax of the same dollar amountis levied on Donald. What is Donald's utility maximizing market basket?g. The taxes in (e) and (f) both collect exactly the same amount of revenue for thegovernment, which of the two taxes…
- Mike is a jellyfish wrangler. In June and July he spent his budget on fish tanks and wet suits. Each fish tank cost $50 and each wet suit cost $100. At Mike's optimal choice, his marginal utility from the last fish tank purchased is 200. This means that his marginal utility from the last wet suit purchased is:9 of 15 Laura has an income of 100 and she has to spend it to buy daisies (x₁) and daffodils (x2). Her preferences are represented by a Cobb Douglas utility function u(x1,x2)= x1x2. If daisies are twice as expensive as the daffodils, what would her optimal bundle be? O Buy only daffodils O Buy only daisies O Buy twice as many daffodils as daisies O Buy twice as many daisies as daffodils O Buy same amount of daisies and daffodils O No answer.1. A consumer has an income of $3024 to spend each day. The only two goods the consumer is interested in purchasing are goods A and B. The marginal-utility schedules for these two goods are shown in the table below. The price of B does not change and is $378. The marginal utility per dollar from B is also shown in the table. But the price of A varies as shown in the table. The marginal utility per dollar from A when the price of A is $1512 and $756 is shown in the following table. Good A Good B Quantity MU MU/$1512 MU/$756 MU MU/$378 1 24 2 15 3 12 4 8 5 6 6 4 48 32 24 16 8 4 ||||| ||||| |||