Units of Product Marginal Utility, A (Price = $1) Marginal Utility, B (Price = $1) First Second Third Fourth Fifth Sixth Seventh 16 utils. 54 utils. Ⓒ70 utils. 12 20 utils. 10 8 6 4 2 0 16 14 12 10 8 4 Refer to the data for a consumer whose income $4. In equilibrium, the introduction of new product C has increased this consumer's total utility by Marginal Utility, New Product, C (Price = $1) 20 18 16 14 12 10 8

Units of Product Marginal Utility, A (Price = $1) Marginal Utility, B (Price = $1) First Second Third Fourth Fifth Sixth Seventh 16 utils. 54 utils. Ⓒ70 utils. 12 20 utils. 10 8 6 4 2 0 16 14 12 10 8 4 Refer to the data for a consumer whose income $4. In equilibrium, the introduction of new product C has increased this consumer's total utility by Marginal Utility, New Product, C (Price = $1) 20 18 16 14 12 10 8

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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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.
Would you expect total utility to rise or fall with additional consumption of a good? Why?
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.
If people do not have a complete mental picture of total utility for every level of consumption, how can they find their utility-maximizing consumption choice?
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?
Who determines how much utility an individual will receive from consuming a good?
Total utility is maximized in the consumption oftwo goods by equating thea. prices of both goods for the last dollar spenton each good.b. marginal utilities of both goods for the lastdollar spent on each good.c. ratios of marginal utility to the price of bothgoods for the last dollar spent on each good.d. marginal utility of one good to the price ofthe other good.
John’s preferences for Orange (O) and lemons (L) are represented by the funtion U(O, L)= O+2L. The oranges cost £2 and the lemons £1. Given that John’s monthly income is £30 answer the following questions: What type of goods are oranges and lemons for John? What is the proportion to which John is willing to exchange Oranges for Lemons? Illustrate and solve graphically John’s utility maximization problem. If his income increases every month by £10, how will John’s consumption choice be affected? Illustrate graphically the income expansion path and the Engel curve for each good. How will an increase in the price of Lemons to £6 affect John’s optimal consumption choice? (John’s income is £30) Graph John’s demand curve for each good. Assume that John wins a voucher of £20, redeemable only in Oranges. How would this affect John’s utility? (Assume that prices and income are as described initially) Assume that John is presented with two options: an Orange voucher of £20 or just £6 to spend…
A consumer’s preferences between goods x and y are representedby the utility function u(x, y) = 2min{x, y}+10. Suppose this consumer hasincome of $16, the price of good x is $3 and the price of good y is $1. Suppose the price of good x increases to $7 while the price of good y andthe consumer’s income stay constant. Calculate the magnitudes of the compensating and the equivalent variations. Explain what each measures.
Given the following information: Quantity (units) TU1 TU2 0 0 0 1 40 20 2 60 36 3 76 45 4 86 51 5 94 53 TU(Total utility) Assume that P1 = 4 naira per unit and P2= 10 naira per unit: a. What quantities of q1 and q2 does the consumer buy at the equilibrium point b. Calculate the total utility that he derives at that point. c. Calculate the budget line or income of the consumer and this result on a graph
3. Assuming a price of X (Px) and a price of Y (Py) are $ 1 each, the individual's income is $ 8 per time period and all of it is spent. The Schedule Utility Marginal for items X and Y for individuals is: Specify : a. How should this individual spend his income in order to maximize total utility? b. What is the total amount of utility received by an individual when it is in equilibrium?
(a) A consumer has utility u(x,y,z) = ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pz=1. Optimally she consumes 30 units of z. What is her income? How much money does she spend on x? (HINT: MUx = 1/x, MUy= 2/y, MUz = 3/z and remeber the "equivalent bang for the buck" condition). (b) Forget about (a). Suppose you have t= 29 hours in total to spend on 3 projects X,Y and Z to make some money. If you spend x hours on project X, you make 2 sqrt(x) dollars; If you spend y hours on project Y, you make 3 sqrt(y) dollars; If you spend z hours on project Z, you make 4sqrt(z) dollars; Writing down your "utility function" u(x,y,z) and the constraint, solve the utility maximization problem; what is the optimal amount of time to spend on x? on y? on z?