Jennifer buys both turkey (x) and cheese (y) for her sandwiches. Her preferences over these two goods can be represented by the utility function U(x,y) = min[x, 2.5y] where x represents the number of slices of turkey and y represents the number of slices of cheese. a) Given her preferences find her demand functions for turkey (x) and cheese(y).

Jennifer buys both turkey (x) and cheese (y) for her sandwiches. Her preferences over these two goods can be represented by the utility function U(x,y) = min[x, 2.5y] where x represents the number of slices of turkey and y represents the number of slices of cheese. a) Given her preferences find her demand functions for turkey (x) and cheese(y).

Economics (MindTap Course List)

13th Edition

ISBN:9781337617383

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter3: Supply And Demand: Theory

Section: Chapter Questions

Problem 22QP

See similar textbooks

Similar questions

Joyce drinks both coffee (x) and tea (y). Her preferences over these two goods can be represented by the utility function U(x,y) =x + 3y^1/2 where x represents the number of pounds of coffee and y represents the number of cups of tea. a) Given her preferences, find her demand functions for coffee (x) and tea (y). b) Suppose that the price of a pound of coffee is $4 and that she has $56 to spend on coffee and tea. Write her demand curve for tea. Illustrate her demand curve. c) Suppose that the price of a cup of tea is $1 (the price of coffee and income remain $4 and $56, resp.). Use your demand functions to find her best bundle. In an indifference curve diagram illustrate her best bundle at these prices. For the remainder of the question, assume that her income rises to $60 and that the prices of coffee and tea are unchanged at = $4 and =1.
a)Assume that the typical consumer always spends a small share of her overall budget on Vietnamese meals and use the utility maximization conditions to find the demand for Vietnamese food of the typical consumer (keep in mind that since utility is quasi-linear, you can find demand without information about the consumer’s weekly budget). b) Sum across consumers to find the weekly market demand for Vietnamese meals in NYC.
Consider the following utility function for goods x1 and x2: u(x1,x2)=(x1+x2)2 What type of preferences does this utility function represent and why?
Consider the following utility function. U=U(X,Y)=X0.2Y0.8 Find the marginal utilities. Determine their signs. Provide the economic interpretation of the signs of these marginal utilities. Determine whether the law of diminishing marginal utility holds for both goods.
A consumer consumes two agricultural products: Red Meat, and Tomatoes according to the following utility function: U = RT That is, the total utility is the multiplication of the quantity consumed of the two products. Given that consumer's income is 210, price of R is 10, and the price of Tis 2, a)Write down the budget constraint (budget line equation) for this consumer. b)Determine the quantities that the consumer should consume of each of the two products c)Calculate the value of the lagrangian multiplier and derive the demand function for Red Meat and for tomatoes.
Suppose the weighted marginal utility for two goods x and y at a position of consumer equilibrium 70. If the price of good x is r10 and the relevant marginal utility for y is 140 what is the price of good y and the relevant marginal utility for x
Khamzat consumes burgers (x1) and sodas (x2). Consider the CES utility function u(x1, x2) = (x + x)UP), for a constant p > 0, where the price of burgers is 20 and soda is 2. Khamzat's income is 100. What is the demand functions for burgers and sodas? Khamzat becomes famous and the store owner recognizes him and decides to give him the burgers at cost, $12. What is the income and substitution effect?
Biwei’s utility function U=4XY, where X is consumption of beer and Y is consumption of pizza. For this utility function, the marginal utility of X is MUx = 4Y; the marginal utility of Y is MUY = 4X. 1) Suppose Y = 3. Calculate Biwei’s utility for X = 2, 3, 10, and 11. For a given level of Y, does good X display diminishing marginal utility? 2) Suppose X = 3. Calculate Biwei’s utility for Y = 2, 3, 10, and 11. For a given level of X, does good Y display diminishing marginal utility?
Carla has utility function U(x, y) = vx + 2y over goods x and y a) Do we have a name for this type of utility function? Are Carla's preferences well-behaved? b) Let Carla have budget I=$40, and let prices be Px=$2, Py=$8. What bundle will Carla consume? c) What if Carla's budget drops to $20? [Think about: could this utility function describe Carla's preferences over bread and ice cream?]
Shanise has the following utility function: UX.Y) = X +Y where X is her consumption of candy bars, with price Px = $2.25, and Y is her consumption of espressos, with Py = $6.50. Derive Shanise's demand for candy bars and espresso. Shanise's demand of candy bars and espressos is O A. X= 1.0021 and Y = 0.5231. O B. X=0.330l and Y = 0.040I. O C. X=0.2461 and Y = 0.040I. O D. X= 0.8331 and Y = 0.6831. O E. X=0.0611 and Y =0.5231. Assume that Shanise's income is I = $75. How many candy bars and how many espressos will Shanise consume? Shanise will consume |candy bars and espressos. (Enter your responses rounded to two decimal places.) What is the marginal utility of income? The marginal utility of income is- (Enter your response rounded to two decimal places.)
If a consumer consumes two goods (q1 and q2) and demand function of q1 is U/P1, which portion of his budget goes to q1.
Mary can consume two goods X₁ and X2, where X₁ and X₂ are the quantities of two goods purchased. From the consumption of these two goods, Mary gains utility according to the function U(X₁, X₂) = X0.6 X0.4. The price of X₁, noted as P₁, is £12, and the price of X₂, noted as P2, is £4. Mary's weekly budget is £40. By using the Lagrangean method, find the quantities of X₁ and X₂ that Mary should buy each week in order to maximise her utility. Give an economic interpretation of the Lagrange multiplier.