Remi has been observing their meal expenses during the past few weeks. They realized they spend as much as P7500 per week for 12 meals (3 meals/day from Tuesdays-Fridays) in school. Currently, they prefer Las Flores than Din Tai Fung and their utility is expressed as U(L,T) = L0.54T0.46 where L = quantity of meals at Las Flores; T = quantity of meals at Din Tai Fung. For her budget, the following is set: PL = price per meal at Las Flores; PT = price per meal at Din Tai Fung 1. Find the Marshallian Demand Function 2. Find the Indirect Utility Function 3. Find the Hicksian Demand Function, where the utility constraint is leveled at u

Remi has been observing their meal expenses during the past few weeks. They realized they spend as much as P7500 per week for 12 meals (3 meals/day from Tuesdays-Fridays) in school. Currently, they prefer Las Flores than Din Tai Fung and their utility is expressed as U(L,T) = L0.54T0.46 where L = quantity of meals at Las Flores; T = quantity of meals at Din Tai Fung. For her budget, the following is set: PL = price per meal at Las Flores; PT = price per meal at Din Tai Fung 1. Find the Marshallian Demand Function 2. Find the Indirect Utility Function 3. Find the Hicksian Demand Function, where the utility constraint is leveled at u

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).
Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate for the equivalent variation (EV) for the price change.
Quantity of Product Utility Utility A 1 234 5 6 7 Total Marginal Utility 16 30 42 52 60 66 70 16 1410 108 12 Marginal Quantity of 6 4 per Dollar ? ? ? ? ? ? ? Product Utility Utility B 123 + 4 5 6 Marginal Total Marginal Utility 7 30 46 61 75 88 100 111 30 16 15 14 13 12 11 per Dollar ? ? ? ? ? ? ? Your buddy Joseph wants your advice. He presents you with his utility schedule above and want to know how many units of Product B he should purchase to maximize his utility. He tells you the price of Product A is $4 and the price of Product B is $5. Joseph informs you he only wants to spend a total $27 on both products. How many units of Product B do you tell Joseph to purchase?
Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate the change in consumer surplus from consuming the expensivemeals considering the price change (Hint: you need to compare his optimalconsumption bundle before and after the price change to get the change in CS).
Suppose Jimi has reference dependent preferences over guitars and money as in Tversky and Kahneman (1991). His utility functions are given below. Gains Gains 400 -2 -2 2 Guitars 2$ Losses Losses i-600 -2 What is the least amount of money Jimi is willing to accept to sell one of his guitars? (just enter a dollar amount, i.e., "10o0", not "$1000"
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
Brit-Brick is a company that produces bricks and cement in the UK. Their largest consumer is ConstrUK, a UK construction company. The manager of Brit-Brick has asked the research department to find out how sensitive ConstrUK's demand for bricks is. The research department has estimated that ConstrUK's preferences over bricks (x) and cement (y) can be described by the utility function wwwww U(x,y) xb/10 y1-b/10 , where b=8, and where x and y are measured in bags. Example: if b=4, then U(x,y) x*/10 yl-4/10 = x²/5 y3/5. %3D The price for one bag of cement is equal to £1. It is estimated that ConstrUK's budget is £10,000. Find the price-consumption curve for bricks and the corresponding demand curve.
Suppose that Omar’s marginal utility for cups of coffee is constant at 5.5 utils per cup no matter how many cups he drinks. On the other hand, his marginal utility per doughnut is 11 for the first doughnut he eats, 10 for the second he eats, 9 for the third he eats, and so on (that is, declining by 1 util per additional doughnut). In addition, suppose that coffee costs $1 per cup, doughnuts cost $1 each, and Omar has a budget that he can spend only on doughnuts, coffee, or both. How big would that budget have to be before he would spend a dollar buying a first cup of coffee?
It is common for supermarkets to carry both generic (store-label) and brand-name (producer-label) varieties of sugar and other products. Many consumers view these products as perfect substitutes, meaning that consumers are always willing to substitute a constant proportion of the store brand for the producer brand. Consider a consumer who is always willing to substitute four pounds of a generic store-brand sugar for two pounds of a brand-name sugar. Do these preferences exhibit a diminishing marginal rate of substitution between store-brand and producer-brand sugar? Assume that this consumer has $24 of income to spend on sugar, and the price of store-brand sugar is $1 per pound and the price of producer-brand sugar is $3 per pound. How much of each type of sugar will be purchased? How would your answer change if the price of store-brand sugar was $2 per pound and the price of producer-brand sugar was $3 per pound?
It is common for supermarkets to carry both generic (store-label) and brand-name (producer-label) varieties of sugar and other products. Many consumers view these products as perfect substitutes, meaning that consumers are always willing to substitute a constant proportion of the store brand for the producer brand. Consider a consumer who is always willing to substitute four pounds of a generic store-brand sugar for two pounds of a brand-name sugar. Do these preferences exhibit a diminishing marginal rate of substitution between store-brand and producer-brand sugar? (Click to select) Yes No Assume that this consumer has $24 of income to spend on sugar, and the price of store-brand sugar is $1 per pound and the price of producer-brand sugar is $3 per pound. How much of each type of sugar will be purchased?Producer-brand sugar: poundsStore-brand sugar: poundsIf prices change such that the price of store-brand sugar was $2 per pound and the price of producer-brand sugar was $3 per…
ayesha derives utility from travelling and outdoor dinning o weekends as given utility function U(t,d)=TD.the price of a day spent travelling is $160{Pt=160} and price of dining outdoor $200{Pd=200}.ayesha annual budget for this is $8000. find ayesha's utility maximizing choice of days travelling and dining outside. and alsoo find uutility level from consuming that bundles .show findings graphically
David gets $3 per week as an allowance to spend any way he pleases.Since he likes only peanut butter and jelly sandwiches, he spends the entireamount on peanut butter (at $0.05 per ounce) and jelly (at $0.1 per ounce).Bread is provided free of charge by a concerned neighbor. David is a picky eaterand makes his sandwiches with exactly 1 ounce of jelly and 2 ounces of peanutbutter. He is set in his ways and will never change these proportions.a) How much peanut and jelly will David buy with his $3 allowance perweek?b) Suppose the price of jelly increases to $0.15 per ounce. How much of eachcommodity would be bought?c) By how much should David’s allowance be increased to compensate forthe rise in the price of jelly in part b?d) Graph your results of part a through part c.1e) In what sense does this problem involve only a single commodity? Graphthe demand curve for this single commodity.f) Discuss the results of this problem in terms of the income and substitutioneffects involved in the…