2. Preferences:a. Suppose Wendy consumes 10 sandwiches and 10 cups of coffee over the course of a week.Her utility at the end of the week is equal to10. Now suppose Amanda consumes the same bundle, but her utility at theend of the week is 20. Can we say that Amanda is twice as happy as Wendy?Why or why not. b. Alex prefers 3 slices of cake to 4 slices,4 slices of cake to 5 slices, and 3 slices of cake to 5 slices. What is so strange about Alex? Are Alex's preferences transitive? Is Alex an irrational consumer? Explain your answers briefly.

2. Preferences:a. Suppose Wendy consumes 10 sandwiches and 10 cups of coffee over the course of a week.Her utility at the end of the week is equal to10. Now suppose Amanda consumes the same bundle, but her utility at theend of the week is 20. Can we say that Amanda is twice as happy as Wendy?Why or why not. b. Alex prefers 3 slices of cake to 4 slices,4 slices of cake to 5 slices, and 3 slices of cake to 5 slices. What is so strange about Alex? Are Alex's preferences transitive? Is Alex an irrational consumer? Explain your answers briefly.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.4P

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Similar questions

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.
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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.