1. A consumer consuming two commodities A and B, has a total income of 16birr with price A and B were 1birr and 4birr respectively Given the following table Q 12 3 4 5678 TUA 30 55 75 90 100 100 90 75 TUB 100 180 240 280 300 300 280 260 a. Calculate marginal utility for good A and B b. Draw the marginal and total utility for commodity A and show the relationship between them. C. How many units of A and B should be consumed to maximize utility d. Calculate the total utility at optimal choice

1. A consumer consuming two commodities A and B, has a total income of 16birr with price A and B were 1birr and 4birr respectively Given the following table Q 12 3 4 5678 TUA 30 55 75 90 100 100 90 75 TUB 100 180 240 280 300 300 280 260 a. Calculate marginal utility for good A and B b. Draw the marginal and total utility for commodity A and show the relationship between them. C. How many units of A and B should be consumed to maximize utility d. Calculate the total utility at optimal choice

Micro Economics For Today

10th Edition

ISBN:9781337613064

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter6: Consumer Choice Theory

Section: Chapter Questions

Problem 6SQP

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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.
Jeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either call her on the land-line phone for five cents per minute or he can drive to see her, at a roundâ€”trip cost of 2 in gasoline money. He has a total of 10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses a handy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values in Table 6.6, figure out the points 011 Jeremys consumption choice budget constraint (it may be helpful to do a sketch) and identify his utility-maximizing point.
Would you expect total utility to rise or fall with additional consumption of a good? Why?
Is it possible for total utility to increase while marginal utility diminishes? Explain.
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.
As a college student you work at a part-time job, but your parents also send you a monthly allowance. Suppose one month your parents forgot to send the check. Show graphically how your budget constraint is affected. Assuming you only buy normal goods, what would happen to your purchases of goods?
Who determines how much utility an individual will receive from consuming a good?
The rules of politics are not always the same as the rules of economics. In discussions of setting budgets for government agencies, there is a strategy called closing the Washington Monument. When an agency faces the unwelcome prospect of a budget cut, it may decide to close a high-visibility attraction enjoyed by many people (like the Washington Monument). Explain in terms of diminishing marginal utility why the Washington Monument strategy is So misleading. Hint: If you are really trying to make the best of a budget cut, should you cut the items in your budget with tile highest marginal utility or line lowest marginal utility? Does the Washington Monument strategy cut the items with the highest marginal utility or line lowest marginal utility?