A preference map consists of: O A. indifference curves, O B. points where the marginal rate of substitution is equal to the relative price, OC. indifference curves that exhibit a diminishing marginal rate of substitution, O D. demand curves, where the marginal rate of substitution describes the rate at which someone will more of the y-axis good to more of the x-axis good while indifference curve O A. give up; get; moving to a higher O B. give up; get; remaining on the same O c. produce; consume; moving to a higher O D. get; consume; remaining on the same

A preference map consists of: O A. indifference curves, O B. points where the marginal rate of substitution is equal to the relative price, OC. indifference curves that exhibit a diminishing marginal rate of substitution, O D. demand curves, where the marginal rate of substitution describes the rate at which someone will more of the y-axis good to more of the x-axis good while indifference curve O A. give up; get; moving to a higher O B. give up; get; remaining on the same O c. produce; consume; moving to a higher O D. get; consume; remaining on the same

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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please only do: if you can teach explain each partc: what does it mean? can you show graphs: For these to be optimal choices with such preferences, the indifference curve through a must lie entirely on or above the budget line associated with (p, w), and simi- larly for r' for the budget line associated with (p', w'). how do you know this:Because each of these bundles lies below the other budget line, this implies that the indifference curves must cross, which is impossible. can you show graphs: note that (3,1) is a conver combination of x and x', so for conver preferences must be weakly preferred to x (the less preferred bundle between a and a'). But then the bundle (3,5/3) must be strictly preferred z, contradicting that is optimal given the initial budget set
Suppose the linear demand curve for shirtsslopes downward and that consumers buy 500 shirts per yearwhen the price is $30 and 1,000 shirts per year when the priceis $25.a. Compared to the prices of $30 and $25, what can you sayabout the marginal valuation that consumers place on the300th shirt, the 700th shirt, and the 1,200th shirt they mightbuy each year?b. With diminishing marginal utility, are consumers derivingany consumer surplus if the price is $25 per shirt? Explain.c. Use a market demand curve to illustrate the change in consumersurplus if the price drops from $30 to $25.
Let the following table represents the total utility of a given consumer, in the cardinal utility approach. Q 1 2 3 4 5 Tux 8 14 18 20 20 Tuy 6 10 13 15 16 Mux Muy Mux/px Muy/py D) Assuming the consumer has any amount of money (enough budget) how many of X and Y should the consumer buy, to maximize utility? E) What is the total utility of X and Y? F) Let now price of X is 4 birr per unit and price of Y is 2 birr per unit and budget of the consumer for consumption of X and Y is 20 birr. Given budget constraint how many of X and Y should the consumer buy to maximize utility? G) What are the total utility of X and Y
Suppose that the price of good Y falls. How will this change the market rate of substitution between goods X and Y? Multiple Choice O It decreases. O It is not affected. O It increases. O It can increase or decrease depending on the preference of the individual.
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.
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.
Answer the following short questions:a. Suppose that a consumer’s preferences between goods x andy are represented by the utility function u(x, y) = x^2 + 16xy + 64y^2. If these two goods have the same price, describe the optimal consumptionchoice of this consumer.b. Suppose that when the price of a good change, the incomeand substitution effects change the consumer’s demand for that goodin opposite directions.i. Is this good a normal or an inferior good? Explain.ii. Is this good a Giffen or an ordinary good? Explain.c. Is the following statement true or false? The differencebetween a monopolist’s marginal cost and its profit-maximizing price issmaller when the demand is more elastic.
Which of the following statements are true? Instruction: you may choose more than one option. O. The Law of Demand is explained by the Slutsky-Hicks equationO. All statements are false.O. For well behaved preferences the income effect is positive.O. For well behaved preferences the substitution effect is non positive.O. if the demand foro good increases when income then the demand for that good must decrease when its price increases.O. A Giffen good cannot be explained by the Slutsky-Hicks equation.
Pls help with thsi question I am stuck Given the image attatched: 1.Given the above Marginal Utilities and prices to form the optimality condition for utilitymaximization. According to this optimality condition, what must be the ratio of Films toBooks in an optimal consumption bundle? 2. Given your answer to Q9, what must be the household’s optimal consumption of F & Bgiven their income (m)? 3. Suppose that the price of Films changed from $2 to $4. What would need to happen tothe MRS according to the optimality condition in Q9 if the household wanted to keepmaximizing its utility?
1.There are two goods F and C. Let MU and P denote marginal utility and price of each good. SupposeMUF = 2,MUC = 1,PF = 1,PC = 2.Are you maximizing your satisfaction? If not, what would you do to increase your satisfaction? Explain. 2.What is the substitution eﬀect? Can it cause the quantity to decrease given a decrease in price? Explain 3.What is the income eﬀect? Can it cause the quantity to decrease given a decrease in price? Explain
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…
5. Consider a consumer whose utility function isu(x,y) = sqrt(xy) (MRS(x,y)=y/x)a. Assume the consumer has income $120 and initially faces the prices px = $1 and py = $1. Howmuch x and y would they buy? Draw the budget constraint and the demands. b. Next, suppose the price of x were to increase to $2. How much would they buy now? Draw thisin the same figure.c. Decompose the total effect of the price change on demand for x into the substitution effect and theincome effect. That is, determine precisely how much of the change is due to each of thecomponent effects. (Hint: See the lecture notes for the two properties that determine the locationof “z”, the reference point for distinguishing the income and substitution effects.)