jamie has $100 that he can spend on milk and gas. A gallon of milk costs $5. However, government gives its citizens a coupon that entitles people to 20% discount on their first 10 gallon milk purchases. Gas costs $4 per gallon and government charges $1 for each gallon of purchased gas. Jamies utility function is U (x, y) = 9x+10y, where x and y represent gallons of milk and gas consumed, respectively. What is Jamies optimal consumption of milk and gas? Part b If government removes the quantity restriction to which the coupon applies (i.e. 20% discount is applied to any quantity of milk purchased), what will be jamie optimal consumption?

jamie has $100 that he can spend on milk and gas. A gallon of milk costs $5. However, government gives its citizens a coupon that entitles people to 20% discount on their first 10 gallon milk purchases. Gas costs $4 per gallon and government charges $1 for each gallon of purchased gas. Jamies utility function is U (x, y) = 9x+10y, where x and y represent gallons of milk and gas consumed, respectively. What is Jamies optimal consumption of milk and gas? Part b If government removes the quantity restriction to which the coupon applies (i.e. 20% discount is applied to any quantity of milk purchased), what will be jamie optimal consumption?

Economics:

10th Edition

ISBN:9781285859460

Author:BOYES, William

Publisher:BOYES, William

Chapter21: Demand: Consumer Choic

Section: Chapter Questions

Problem 16E

See similar textbooks

Similar questions

brownie has $100 that he can spend on milk and gas. A gallon of milk costs $5.However, government gives its citizens a coupon that entitles people to 20%discount on their first 10 gallon milk purchases. Gas costs $4 per gallon andgovernment charges $1 for each gallon of purchased gas. John’s utility functionis U (x, y) = 9x+10y, where x and y represent gallons of milk and gas consumed,respectively. What is John’s optimal consumption of milk and gas?Question 3 Part bIf government removes the quantity restriction to which the coupon applies (i.e.20% discount is applied to any quantity of milk purchased), what will be John’soptimal consumption?
Consider your preferences for Gasoline (X) and a composite good (Y). Your utility function is U(X,Y) = X^(2/5 )+ Y^(2/5). You have an annual income of $40,000. Suppose the price of the composite good is $1. a) Due to shortages, the government has introduced a rationing system such that you can only consume a maximum of 5,000 liters a year at $1 a liter. What would be your optimal consumption bundle? b) The government removes the rationing system and the free market price of gasoline jumps to $2. What would be your new optimal consumption bundle? Are you better off with or without the rationing? Show by finding the utility levels. c) Illustrate your solution in a clearly labeled graph.
Concerned about the welfare of people, the Government restricts consumption of good 2 to a maximum of 20 units. If a consumer has an income of $50 and faces price p1 = 1 and p2 = 2, what is the budget constraint for the consumer given the rule from Government? Group of answer choices x2 = 20 if x1 ≤ 10, x1 + 2x2 = 50 if 10 ≤ x1≤ 50 x1 + 2x2 = 50 if 0 ≤ x1≤ 50 none of the above x2 = 20 if x1 ≤ 20, x1 + 2x2 = 50 if 20 ≤ x1≤ 50 x2 = 20
You have £20 per week to spend, and two possible uses for this money: telephoning friends back home, and drinking coffee. Each hour of phoning costs £2, and each cup of coffee costs £1. Your utility function is U(X,Y) = XY, where X is the hours of phoning you do, and Y the number of cups of coffee you drink. What are your optimal choices? What is the resulting utility level? You can use the standard result on the constrained maximization of such a function, but must state it clearly. Now suppose the price of telephone calls drops to £1 per hour. What are your optimal choices? What is the resulting utility level? How much income per week will enable you to achieve the same quantities at the new prices as the ones you chose before? What income will enable you to attain the same utility as you did before? Comment on your answer in the context of equivalent variation and compensating variation.
Given the significant increases in the cost of living in Canada (and elsewhere), Governments (both Federal and Provincial) have been under pressure to provide financial support to at last individuals or households. This financial support can be in the form of direct payments (income) to individuals or subsidizing the purchase of certain goods (i.e. the government pays a portion of the purchase price). To keep things simple, let’s only consider our standard example in which the individual consumes food and clothing; and food is the good whose purchase is to be subsidized. a) Evaluate the impact of both of these options on the utility of the individuals receiving support. (40%) b) Suppose the government only subsidizes the purchase of the first 5 units of food, how does this change your answer to a)? (40%) c) If the government ends up spending the same amount of total subsidies in either case (income support or price subsidy), which option will have a more substantial effect on the…
Michael does not like to mix peanut butter and jelly in the same sandwich. However, he will consume them separately; for him, a sandwich with 1 spoon of peanut butter is exactly the same as a sandwich with 2 spoons of jelly. Michael has an income of m = 50, and the prices per spoonful of peanut butter and jelly are pPB=5 and pJ=11. Please write down Michael’s utility function over peanut butter (PB) and jelly (J). 2. Please determine Michael’s Marshallian demands PB*m and J*m3. Please determine Michael’s new Marshallian demands PB*m and J*m, when the price of peanut butter falls to pPB = 1.4. What are the (Hicks) SE and IE? Draw a diagram to show your analysis, with peanut butter on thehorizontal axis, and jelly on the vertical axis. 5. Recall that there are two different types of substitution effects. For example, in Q2 we have used theHicks SE. Does your answer to the last part change if we use the Slutsky SE? Justify. 6. Nam likes his peanut butter and jelly sandwiches with exactly…
Consider a person who consumes water and bread, deriving utility by xy if x is the amount of water consumed and y is the amount of bread consumed. Suppose this person's income is Rs. 10, the unit price of bread is Rs. 3 and the unit price of water facing this person is Re. 1. The price of water incorporates a per unit subsidy of Re. 1, i.e., for every unit of water consumed by this person, she pays Re. 1 to the water supplier and the government pays Re. 1 to the water supplier. Suppose this person's demand is (x0, y0). ,If the government provides this person a lump-sum income subsidy that exactly offsets her utility loss on account of removal of the water subsidy, then the required lump-sum subsidy is
Consider food stamps where the government gives a person $100 worth of food stamps that can only be used to buy food. When the person buys food instead of paying cash he gives an equivalent value of food stamps, e.g. if he buys $50 of food he must surrender $50 of food stamps. After his food stamps are exhausted, the person can continue to buy food but must pay cash. The person's budget line when he receives food stamps shows all the combinations of the 2 goods he can buy using his monetary income plus his food stamps together and is kinked.
The government wants to make medicare benefits available to more people, but to achieve this goal, it needs to make cuts in the existing medicare budget. The two areas where they are considering cuts are non-essential elective surgery and 6-12 month mental health care programs. Applying the concept of diminishing marginal utility, the budget cuts should be made for spending on: a. neither can be compared by measuring marginal utility. b. mental health therapy due to its higher marginal return rate. c. elective surgery due to its lower marginal return rate. d. both programs, which have the same marginal return rate.
Consider an economy composed of 16 consumers. Of these, 5 consumers each own one right shoe and 11 consumers each own one left shoe. Shoes are indivisible. Everyone has the same utility function, which is Min(2R, L}, where R and L are, respectively, the quantities of right and left shoes con sumed. A) (10%) Is the status quo (where each individual has his own shoe) Pareto efficient? If so, briefly explain why. If not, provide a Pareto improvement b) (10%) Characterize all Pareto efficient allocations
Lucas chooses between water and all other goods. If he spends all his money on water, he can buy 15 thousand gallons per week. At current prices, his optimal bundle is e1, where he buys both types of goods. Show e1 in a diagram. During a drought, the government limits the number of gallons per week that he may purchase to 10 thousand. Using diagrams, discuss under which conditions his new optimal bundle, e2, will be the same as e1. If the two bundles differ, can you state where e2 must be located relative to e1?
An individual is faced with a choice of buying housing in one of two markets; the private market where he may buy any amount of housing he pleases at the going price, and the public housing market where he will be offered, on a take-it-or-leave-it-basis, a particular amount of housing at a price lower than that which he would pay for it on the private market. Will he necessarily choose the public housing? If so, may we conclude that he will consume more housing than he would have purchased had he been forced to buy it on the private market? (With thanks to Dr Leslie Rosenthal.)