Marginal Utility MU, 0 $5,000 10,000 15,000 Income Singer Marginal Utility Multiple Choice MU, 0 $5,000 10,000 15,000 Income Catalano Refer to the above diagrams that show identical marginal utility from income curves for Singer and Catalano. If this initial distribution of $15,000 to Singer and $5,000 to Catalano is altered in favor of greater equality, it may be argued that: the combined total utility of the two consumers will decline because Catalano has a greater capacity to derive utility from income than does Singer. incentives to produce will be weakened and total income will decrease. incentives to produce will be enhanced and total income will increase. the combined total utility of the two consumers will decline because Singer has a greater capacity to derive utility from income than does Catalano.

Marginal Utility MU, 0 $5,000 10,000 15,000 Income Singer Marginal Utility Multiple Choice MU, 0 $5,000 10,000 15,000 Income Catalano Refer to the above diagrams that show identical marginal utility from income curves for Singer and Catalano. If this initial distribution of $15,000 to Singer and $5,000 to Catalano is altered in favor of greater equality, it may be argued that: the combined total utility of the two consumers will decline because Catalano has a greater capacity to derive utility from income than does Singer. incentives to produce will be weakened and total income will decrease. incentives to produce will be enhanced and total income will increase. the combined total utility of the two consumers will decline because Singer has a greater capacity to derive utility from income than does Catalano.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.12P

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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.
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No written by hand solution Assume Fred has the following preference relation on [0, 1]: x ≿ y if and only if x ≤ y for all x ̸= 1 and y ̸= 1; and 1 ≻ z for all z ∈ (0, 1), 1 ∼ 1 and 0 ≻ 1. Does there exists a utility representation for this preference relation? If yes, provide a utility function. If no, explain. Show your work.
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