The only quantities of good 1 that Barbara can buy are 1 unit or zero units....
The only quantities of good 1 that Barbara can buy are 1 unit or zero units. For x1 equal to zero or 1 and for all positive values of x2, suppose that Barbara's preferences were represented by the utility function (x1+12)(x2+8), and the price of x2is normalized to be 1. Then if her income were $36, what is the highest price would she pay for x1?
(a) $3.38.
(b) $6.77.
(c) $1.50.
(d) $4.50.
(e) $0.57
Homework Answers
note
- we take the assumptions that x1 consume 0 unit...Add Answer to:
The only quantities of good 1 that Barbara can buy are 1 unit or
zero units....
Barbara and Ralph are considering to buy a sofa. Barbara's utility function is given by the...
Barbara and Ralph are considering to buy a sofa. Barbara's utility function is given by the formula: UB(S, MB) (1+ S)MB, while for Ralph it is: UR(S, MR) (4+S)MR, where S 0 if they do not buy the sofa and S 1 if they do, and MB and MR are amounts spent by Barbara and Ralph, respectively, on their private expenses. Barbara has in total 800 zloty at her disposal, while Ralph has 4000. The highest price of a sofa...
21. Bryan consumes only goods 1, 2, and 3 (in quantities x1x2,and x3 respectively) and as...
21. Bryan consumes only goods 1, 2, and 3 (in quantities x1x2,and x3 respectively) and as preferences over (x1, X2, X3) bundles that are captured by the utility function uB(x1,X2,Xy) When prices were P,,52 p,-46 an$120, Bryan chose to purchase the bundle (10,10, 10). How much good2 l Bryan choose to purchase at prices unit unit unit $8 $12 P = _ and I = $240? (Assume Bryan makes purchases so as to 1unit' maximize his utility. [If the answer...
Question 2: Lorelai's choice behavior can be represented by the utility function u(x1, 2)0.9Inx)0.1x2 The prices...
Question 2: Lorelai's choice behavior can be represented by the utility function u(x1, 2)0.9Inx)0.1x2 The prices of both x1 and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set but at least linear in good x2) the preferences and parameters accordingly as given in the question. Click...
Lorelai's choice behavior can be represented by the utility function u(x1, 2) 0.9n(x)0.1x2. The prices of...
Lorelai's choice behavior can be represented by the utility function u(x1, 2) 0.9n(x)0.1x2. The prices of both xi and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, but at least linear in good x2) 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set the preferences and parameters accordingly as given in the question. Click on...
21. Bryan consumes only goods 1, 2, and 3 (in quantities x1,x2, and x3 respectively) and...
21. Bryan consumes only goods 1, 2, and 3 (in quantities x1,x2, and x3 respectively) and as preferences over (x1,x2,x3) bundles that are captured by the utility function ug(x1,x2, x3) $2 $6 and I $4 P, = иnit P3 When prices $120, Bryan chose to purchase the were = unit' unit bundle (10, 10,10). How much good 2 will Bryan choose to purchase at prices $4 $8 $12 $240? (Assume Bryan makes purchases so as to , Р2 unit ,...
Lorelai's choice behavior can be represented by the utility function 11(xi, X2) = 0.91n(xi) + 0.1x2...
Lorelai's choice behavior can be represented by the utility function 11(xi, X2) = 0.91n(xi) + 0.1x2 The prices of both x and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, but at least linear in good x2.) 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set the preferences and parameters accordingly as given in the...
Margaret spends all of her income on t-shirts (x1) and shoes (x2). Her preferences can be...
Margaret spends all of her income on t-shirts (x1) and shoes (x2). Her preferences can be represented by the utility function u (x1, x2) = 2√x1x2 (a) [15 Points] Derive the demand functions for t-shirts and shoes in terms of the price of t-shirts (p1), the price of shoes (p2), and income (m). Show your result on a graph. (b) [10 Points] Draw the Income Offer Curve and Engel Curves (one for each good). (c) [10 Points] Draw the Price...
Eugenia can consume two goods, good 1 and good 2 where xi and Xz denote the...
Eugenia can consume two goods, good 1 and good 2 where xi and Xz denote the quantity consumed of each good. These goods sell at prices P. and P2, respectively. Eugenia's income is I and her preferences are given by: U(x1, x2) = x2x2 a) Are goods 1 and 2 perfect complements, perfect substitutes or imperfect substitutes to Eugenia? Explain. b) Derive Eugenia's demand functions for the two goods. c) Assume that p1 = P2 = $5 and 7 =...
Consider a consumer with income M who can buy two products, good 1 and good 2...
Consider a consumer with income M who can buy two products, good 1 and good 2 for prices p1 and p2. If the consumer has Cobb-Douglas utility, show that her preferences are homothetic.
1. Student A has preferences represented by U(x1,x2) = min{ax1,bx2}. Suppose good one has a special...
1. Student A has preferences represented by U(x1,x2) = min{ax1,bx2}. Suppose good one has a special tax. The government wants good one to be consumed as little as possible, so it imposes a tax on its price when more than x units are bought. Specifically, the price of good one is p1 if less than x units are bought and it is p1(1 + t) when buying more than x units (for all the units bought). Where t indicates the...
Barbara and Ralph are considering to buy a sofa. Barbara's utility function is given by the formula: UB(S, MB) (1+ S)MB, while for Ralph it is: UR(S, MR) (4+S)MR, where S 0 if they do not buy the sofa and S 1 if they do, and MB and MR are amounts spent by Barbara and Ralph, respectively, on their private expenses. Barbara has in total 800 zloty at her disposal, while Ralph has 4000. The highest price of a sofa...
21. Bryan consumes only goods 1, 2, and 3 (in quantities x1x2,and x3 respectively) and as preferences over (x1, X2, X3) bundles that are captured by the utility function uB(x1,X2,Xy) When prices were P,,52 p,-46 an$120, Bryan chose to purchase the bundle (10,10, 10). How much good2 l Bryan choose to purchase at prices unit unit unit $8 $12 P = _ and I = $240? (Assume Bryan makes purchases so as to 1unit' maximize his utility. [If the answer...
Question 2: Lorelai's choice behavior can be represented by the utility function u(x1, 2)0.9Inx)0.1x2 The prices of both x1 and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set but at least linear in good x2) the preferences and parameters accordingly as given in the question. Click...
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21. Bryan consumes only goods 1, 2, and 3 (in quantities x1,x2, and x3 respectively) and as preferences over (x1,x2,x3) bundles that are captured by the utility function ug(x1,x2, x3) $2 $6 and I $4 P, = иnit P3 When prices $120, Bryan chose to purchase the were = unit' unit bundle (10, 10,10). How much good 2 will Bryan choose to purchase at prices $4 $8 $12 $240? (Assume Bryan makes purchases so as to , Р2 unit ,...
Lorelai's choice behavior can be represented by the utility function 11(xi, X2) = 0.91n(xi) + 0.1x2 The prices of both x and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, but at least linear in good x2.) 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set the preferences and parameters accordingly as given in the...
Eugenia can consume two goods, good 1 and good 2 where xi and Xz denote the quantity consumed of each good. These goods sell at prices P. and P2, respectively. Eugenia's income is I and her preferences are given by: U(x1, x2) = x2x2 a) Are goods 1 and 2 perfect complements, perfect substitutes or imperfect substitutes to Eugenia? Explain. b) Derive Eugenia's demand functions for the two goods. c) Assume that p1 = P2 = $5 and 7 =...
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