Knowee
Questions
Features
Study Tools

Below are the utility preferences for an individual: Apples Marginal Utility of Apples Marginal Utility of Apples per Dollar (PA=$1)PA=$1Oranges Marginal Utility of Oranges Marginal Utility of Oranges per Dollar (PO=$2)PO=$21 9 9 1 14 72 8 8 2 12 63 5 5 3 8 44 1 1 4 2 1 What is the utility-maximizing consumption bundle if the individual has $4 to spend?Multiple choice question.3 apples and 1 orange4 apples2 apples and 1 orange2 oranges

Question

Below are the utility preferences for an individual: Apples Marginal Utility of Apples Marginal Utility of Apples per Dollar (PA=1)PA=1)PA=1Oranges Marginal Utility of Oranges Marginal Utility of Oranges per Dollar (PO=2)PO=2)PO=21 9 9 1 14 72 8 8 2 12 63 5 5 3 8 44 1 1 4 2 1 What is the utility-maximizing consumption bundle if the individual has $4 to spend?Multiple choice question.3 apples and 1 orange4 apples2 apples and 1 orange2 oranges

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the utility-maximizing consumption bundle, we need to compare the marginal utility per dollar for each good and spend the money on the good with the highest marginal utility per dollar until the budget is exhausted.

  1. In the first round, the marginal utility per dollar for apples is 9 and for oranges is 7. So, buy an apple. Remaining budget = 44 - 1 = $3.
  2. In the second round, the marginal utility per dollar for apples is 8 and for oranges is 6. So, buy another apple. Remaining budget = 33 - 1 = $2.
  3. In the third round, the marginal utility per dollar for apples is 5 and for oranges is 8. So, buy an orange. Remaining budget = 22 - 2 = $0.

So, the utility-maximizing consumption bundle is 2 apples and 1 orange.

This problem has been solved

Similar Questions

Below is the utility preferences for an individual: Movies Marginal Utility of Movies Marginal Utility of Movies per Dollar (PM=$10)PM=$10Books Marginal Utility of Books Marginal Utility of Books per Dollar (PB=$5)PB=$51 100 10 1 45 92 70 7 2 40 83 40 4 3 30 64 10 1 4 15 3 What is the utility-maximizing consumption bundle if the individual has $25 to spend?Multiple choice question.1 movie and 3 books5 books2 movies and 3 books2 movies and 1 book

A consumer with a limited income will maximize utility when each good is purchased in amounts such that theMultiple Choicetotal utility is the same for each good in a bundle.marginal utility of each good in a bundle is maximized.marginal utility per dollar spent on each of the final choices in a bundle is equal.marginal utility per dollar spent on each of the final choices in a bundle is maximized for each good.

Use the following information to answer the question below. Cloe is given $4 of pocket money to be spent on either hard candies or chocolates. Chocolates cost 40 cents each and hard candies cost 80 cents each. The marginal utilities derived from the consumption of each product are as shown in the following table. Number of ItemsMarginal Utility of ChocolatesMarginal Utility of Hard Candies160150250140340120430100520 80610 707  5 508  0 20 What is Cloe’s total utility at her utility maximizing bundle?Multiple Choice870 utils620 utils80 utils150 utils

Question 1Joe’s preferences are described by the following utility functionU (x, y) = xαyβwith α > 0 and β > 0.(a) Let I denote Joe’s income, and px and py denote the prices of good x and y, respectively.Find Joe’s optimal consumption bundle.(b) Now, suppose α = 6, β = 2, px = 2, py = 3 and I = 24. Evaluate Joe’s optimal choice.(c) Suppose px increases by 50%. What is Joe’s new optimal consumption bundle? Calculateboth the Income Effect and the Substitution Effect.Question 2Collin likes milkshakes (m) and sushi (s). His preferenes over these two goods are representedby the following utility functionU (m, s) = 2√m + s.Collin’s income is $100 and the price of sushi is $10.(a) Suppose the price of milkshakes is initially $2. Find Collin’s optimal consumption bundle.(b) Draw a graph (with m on the horizontal axis and s on the vertical axis) to show Collin’sbudget line, his indifference curve, and his optimal bundle.(c) Suppose the price of milkshakes increases to $5. How many units of milkshake and sushiare in Collin’s new optimal consumption bundle?(d) Draw a new graph for the new optimal bundle (or add it to the graph you have drawnabove in part (b)).(e) What are the substitution and income effects that result from the increase in the price ofmilkshake? Calculate these effects algebraically and illustrate them on a new graph.(f) What is the amount of additional income needed for Collin to achieve the initial level ofutility? What is the amount of additional income needed for Collin to purchase the initialbundle? What is the ideal cost of living index?

Assume that product Alpha and product Beta are both priced at $1 per unit and that Ellie has $20 to spend on Alpha and Beta. She buys 8 units of Alpha and 12 units of Beta. The marginal utilities of the last unit of Alpha and Beta that she purchases are 40 utils and 20 utils, respectively. This indicates thatMultiple ChoiceEllie should make no change in consumption.given another dollar, Ellie should buy an additional unit of Beta.in order to maximize utility, Ellie should buy more Beta and less Alpha.in order to maximize utility, Ellie should buy more Alpha and less Beta.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.