1. Sam spends $6/wk on orange juice and apple Orange juice costs $2/cup while apple juice costs $1/cup. Sam views 1 cup of orange juice as a perfect substitute for 3 cups of apple juice. Find Sam's optimal consump- tion bundle of orange juice and apple juice each week. Suppose the price of apple juice rises to $2/cup, while the price of orange juice remains constant. How much additional income would Sam need to afford her original consumption bundle? (LO2)

1. Sam spends $6/wk on orange juice and apple Orange juice costs $2/cup while apple juice costs $1/cup. Sam views 1 cup of orange juice as a perfect substitute for 3 cups of apple juice. Find Sam's optimal consump- tion bundle of orange juice and apple juice each week. Suppose the price of apple juice rises to $2/cup, while the price of orange juice remains constant. How much additional income would Sam need to afford her original consumption bundle? (LO2)

Principles of Microeconomics

7th Edition

ISBN:9781305156050

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter21: The Theory Of Consumer Choice

Section: Chapter Questions

Problem 1PA

See similar textbooks

Similar questions

Praxilla, who lived in ancient Greece, derives utility from reading poems and from eating cucumbers. Praxilla gets 30 units of marginal utility from her first poem 27 units of marginal utility from her second poem 24 units of marginal utility from her third poem, and so on, with marginal utility declining by three units for each additional poem. Praxilla gets six units of marginal utility for each of her next three cucumbers consumed, five units of marginal utility for each of her next three cucumbers consumed, four units of marginal utility for each of the following three cucumbers consumed, and so on, with marginal utility declining by one for every three cucumber consumed. A poem costs three bronze coins hut a cucumber costs only one bronze coin. Praxilla has 18 bronze coins. Sketch Praxillas budget set between poems and cucumbers, placing poems on the vertical axis and cucumbers on the horizontal axis. Start off with the choice of zero poems and 18 cucumbers, and calculate the changes in marginal utility of moving along the budget line to the next choice of one poem and 15 cucumbers. Using this step-by-step process based on marginal utility, create a table and identify Praxillas utilityâ€”maximizing choice. Compare the marginal utility of the two goods and the relative prices at the optimal choice to see if the expected relationship holds. Hint: Label the table columns: 1) Choice, 2} Marginal Gain from More Poems, 3) Marginal Loss from Fewer Cucumbers, 4) Overall Gain or Loss, 5) Is the previous choice Optimal? Label the table rows: 1) 0 Poems and 18 Cucumbers, 2) 1 Poem and 15 cucumbers, 3) 2 Poems and 12 cucumbers, 4) 3 Poems and 9 Cucumbers, 5) 4 Poems and 6 cucumbers 6) 5 Poems and 3 Cucumbers, 7) 6 Poems and 0 Cucumbers.
Explain why individuals make Choices that are directly on the budget constraint, rather than inside the budget constraint DI outside it.
Take Jeremys 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 Jeremys utility.
Who determines how much utility an individual will receive from consuming a good?
Would you expect total utility to rise or fall with additional consumption of a good? Why?
. Suppose that initially, bread is $2 per loaf,and cake is $2 per slice. Marie Antoinettehas $18 to spend on these items each week.At this income and those prices, Marie consumes 5 loaves of bread and 4 slices of cake.Then, the price of bread DECREASES to$1 per loaf. (The price of cake is still $2.)IF Marie’s budget had also fallen to $13so that she could still just afford her original bundle, she WOULD choose to spendthose $13 on 7 loaves of bread and 3 slicesof cake.But since Marie still has her original $18budget, she actually chooses to buy 4loaves of bread and 7 slices of cake afterthe price change.When the price of bread fell from $2 to $1,what was the substitution effect on Marie’sdemand for bread?
Bart and Lisa are both optimizing consumers in themarkets for shirts and hats, where they pay $100for a shirt and $50 for a hat. Bart buys 8 shirts and4 hats, while Lisa buys 6 shirts and 12 hats. Fromthis information, we can infer that Bart’s marginalrate of substitution is _________ hats per shirt, whileLisa’s is _________.a. 2; 1b. 2; 2c. 4; 1d. 4; 2
Jill likes to consume coffee and cream in a very particular way: with every cup ofcoffee she always consumes two 0.5 oz. cream containers. Jill is a utility maximizer anddecides to spend her income is $120 per month on coffee and cream. If the price of eachcoffee cup is $2.50, and the price of each cream container is $0.25, she will consume______ cups of coffee and ______ cream containers per month.A) 48; 96.B) 96; 48.C) 240; 480D) 80; 40E) None of the above.
3. Akua is a School of Agriculture graduate and consumes 2 goods: Yoghurt and Bread. Akua also earns a typical student income from the parents, GHS 400 a month. She can either spend it all on Yoghurts and get 50, or she can spend it all on Bread and get 200 loaves. a. Given this information, construct the equation for Akua’s Budget Line. b. The following are the bundles that Akua can afford with her income: Yoghurt Bread 10 0 80 20 Fill the blanks in the table with the quantities that will exhaust Akua’s income. c. Akua gets a research grant and her income increases to GHS 800 per month. What is the new equation of herbudget line? What if income stays constant at GHS 400and the price of Yoghurts increase to GHS10? d. Assume that prices are the same as used in part a. If the marginal utility of a Yoghurt is 20, what is the marginal utility of Bread if she is maximizing her utility? e. Now assume that Yoghurt and Bread are…
Eren’s two main hobbies are taking vacations overseas (V) and eating expensive meals (M). His utility function is given as: U(V,M) = V^2MLast 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. 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).
3. Akua is a School of Agriculture graduate and consumes 2 goods: Yoghurt and Bread. Akua also earns a typical student income from the parents, GHS 400 a month. She can either spend it all on Yoghurts and get 50, or she can spend it all on Bread and get 200 loaves. a. Given this information, construct the equation for Akua’s Budget Line.b. The following are the bundles that Akua can afford with her income:Yoghurt Bread10 08020 Fill the blanks in the table with the quantities that will exhaust Akua’s income. c. Akua gets a research grant and her income increases to GHS 800 per month. What is the new equation of her budget line? What if income stays constant at GHS 400 and the price of Yoghurts increase to GHS10?d. Assume that prices are the same as used in part a. If the marginal utility of a Yoghurt is 20, what is the marginal utility of Bread if she is maximizing her utility?e. Now assume that Yoghurt and Bread are compliments for Akua. For her to consume all her income of GHS 400,…
3. Akua is a School of Agriculture graduate and consumes 2 goods: Yoghurt and Bread. Akua also earns a typical student income from the parents, GHS 400 a month. She can either spend it all on Yoghurts and get 50, or she can spend it all on Bread and get 200 loaves. a. Given this information, construct the equation for Akua’s Budget Line.b. The following are the bundles that Akua can afford with her income:Yoghurt Bread10 08020 Fill the blanks in the table with the quantities that will exhaust Akua’s income. c. Akua gets a research grant and her income increases to GHS 800 per month. What is the new equation of her budget line? What if income stays constant at GHS 400 and the price of Yoghurts increase to GHS10?d. Assume that prices are the same as used in part a. If the marginal utility of a Yoghurt is 20, what is the marginal utility of Bread if she is maximizing her utility?e. Now assume that Yoghurt and Bread are compliments for Akua. For her to consume all her income of GHS 400,…