Good Quantity 2017 prices 2018 prices 2019 prices A 10 1.750 KD 2.000 KD 1.750 KD B 20 2.000 KD 2.000 KD 2.000 KD 10 3.000 KD 3.500 KD 4.000 KD a. Calculate the cost of a bundle with 10 units of good A, 20 units of good B, and 10 units of good Z for 2017, 2018, and 2019 using the prices shown in the table 1. b. Then convert the results into an index for each year using 2017 as the base year. (Calculate total spending and price index for 2017, 2018 and 2019.) c. Calculate the percentage rate of change of the price level from 2018 to 2019 and from 2017 to 2018.
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- Alexi has a budget of $21 to spend on toaster and breads. He does not directly gain any utility from owining a toaster but for every slice of toasted bread he consumes he gain 2 units of utility, that is if he owns a toaster. Without the toaster, he gain 0 units of utility from consuming plain bread. Suppose the toaster has inferior quality and will break after toasting only 10 slices, then Alexi needs to buy a new one. The current market price for cheap toaster is $5 and the price for a single slice of bread is $1. Assume that Alexi aims to maximize consumer surplus. Find Alexi's income-consumption curve for slices of bread for incomes between $0 and $21, assuming a price of $1 per slice.. It is a hot day, and Bert is thirsty. Here is the value heplaces on each bottle of water:Value of first bottle $7Value of second bottle $5Value of third bottle $3Value of fourth bottle $1a. From this information, derive Bert’s demandschedule. Graph his demand curve for bottledwater.b. If the price of a bottle of water is $4, how manybottles does Bert buy? How much consumersurplus does Bert get from his purchases? ShowBert’s consumer surplus in your graph.c. If the price falls to $2, how does quantitydemanded change? How does Bert’s consumersurplus change? Show these changes in yourgraph.Ann can finish a project either this week or next week. The delayed rewardsare 10 in either case. (The project can be done only once or not at all).Next week is busy and the cost of finishing the project are lower thisweek. Theimmediate costs are 4 this week and 6 next week.Ann has a quasi-hyperbolic utility withδ= 1 andβ <1. Imagine that Anndoes not finish the project this week. Then she should finish it next week (A) ifβ >0.6; (B) ifβ >0.4; (C) only ifβ= 1; (D) for anyβ.11. Suppose thatβ= 0.5 and Ann correctly anticipates her choice next week. Thenshe should finish the project (A) this week; (B) next week; (C) never; (D) not enough information. Suppose thatβ= 0.5, and Ann can commit to finish the project next week (e.g.by imposing a heavy cost on herself if the project is not finished nextweek).Then she will (A) do the project this week;(B) commit to do it next week and finish it then;(C) do it next week without commitment;(D) commit and then not finish it.
- Ann can finish a project either this week or next week. The delayed rewardsare 10 in either case. (The project can be done only once or not at all).Next week is busy and the cost of finishing the project are lower thisweek. Theimmediate costs are 4 this week and 6 next week.Ann has a quasi-hyperbolic utility withδ= 1 andβ <1. Imagine that Anndoes not finish the project this week. Then she should finish it next week (A) ifβ >0.6; (B) ifβ >0.4; (C) only ifβ= 1; (D) for anyβ.11. Suppose thatβ= 0.5 and Ann correctly anticipates her choice next week. Thenshe should finish the project (A) this week; (B) next week; (C) never; (D) not enough information. Suppose thatβ= 0.5, and Ann can commit to finish the project next week (e.g.by imposing a heavy cost on herself if the project is not finished nextweek).Then she will (A) do the project this week;(B) commit to do it next week and finish it then;(C) do it next week without commitment;(D) commit and then not finish it. Can you…abby is a single mom with a weekly budget of $100. She can spend her weeklyincome on food and diapers for her son. Price of food is $1 and price of a diaperis 50 cents. Her son needs at least 5 diapers a day, therefore she must purchaseat least 35 diapers weekly. Jennifer’s utility function is U (f, d) = f 0.9d0.1,where f and d represent quantity of food and diapers, respectively.Question 1 Part aFind abbys optimal consumption bundle. Make sure to draw her budgetconstraint and indifference curves and clearly demonstrate your solution.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.
- 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 Elif spends her income on shoes and outfits. The price of a shoe is 100/unit and the price of an outfit is 200/unit. Q shoes outfits total utility marginal util. MU/Ps total utility marginal util. MU/Po 1 1000 1800 2 1700 3000 3 2000 4000 4 2200 4600 15) What is the quantity of shoes and outfits that maximizes Elif’s utility? a) 3 shoes and 3 outfits b) 4 shoes and 2 outfits c) 3 shoes and 4 outfits d) 4 shoes and 3 outfits 16) Suppose the price of an outfit increases to 500. What is the new utility maximizing quantity of shoes and outfits for Elif? a) 3 shoes and 4 outfits b) 3 shoes and 2 outfits c) 3 shoes and 1 outfits d) 4 shoes and 3 outfitsA consumer has preferences on Amazon original shows (x), and the composite good (y) described as u(x,y) = x2y (HINT: MUx = 2xy and MUy = x2) and she has I = $300 budget in total. Assume pY = $1, so we can think of y as the saved dollars in her pocket for other uses. Now, if she is not an amazon prime member, each show costs pX = $10, but if she is a prime member, then pX = $4. Amazon prime membership costs $120. (a) Draw her feasible budget set on the x-y axis for the no-prime-membership case, and the prime-membership case, separately. (b) If she chooses not to be a prime member, what is her optimal bundle (x,y) ?(c) If she chooses to become a prime member, what is her optimal bundle (x,y) ?(d) What is her optimal utility in (b)?in (c)? Would she want to become a prime member?
- Soppose Felix has 9dollars to spend on good x and y.The price ofgood Y is one.If consuming 6units of good y is utilitymaximizing,what must be the price of good x and the amount of goodx that he consumes for a utility function ofa.U=x^(1/3)y^(2/3)b.U=x+2yc.U=x+ln y(a) A consumer with income I=120 facing prices pX = 4 and pY = 8 for two goods X and Y (for each good she prefers more to less, with diminishing MRS) chooses optimally to consume 12 units of X. If the prices change and now pX = 6 and pY = 4, what is the possible range for her new optimal X consumption? (b) Forget about (a). A consumer with I=$240 budget is shopping for apples (x) and oranges (y). Apples cost $1 each up until 60 units; thereafter each apple costs $2. Similarly, oranges cost $1 each up until 60 units, and thereafter $2 each. Draw the graph of feasible set of bundles for the consumer with relevant points and numbers (shade the feasible area), no explanation needed. (c)(HARD!) In (b), calculate the optimal bundle assuming the consumer’s utility function is u(x,y) = x5y.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