If there are two people in the economy (A and B), each with a utility function represented by U' = (x')“, then if xA = 5 and x = 10, the value of the Rawlsian welfare function is
Q: Bill is the only person on an island, and he has an endowment of 20 units of coconuts (C) and 5…
A:
Q: Suppose Kayla has preferences over cakes (c) and pints of ice cream (i) that can be characterized…
A: To determine how many pints of ice cream Kayla would be willing to give you in exchange for one…
Q: Bob enjoys cookies (x) according to the utility function U(x)=20x- 2 tx , where t is a parameter…
A: According to the envelope theory, if the exogenous variable changes, the direct effects of that…
Q: Julio loves gardening. His favourite plants are tulips and hydrangeas. His utility function is '…
A: Given that: u(t, h) = t + 100h - h2 Constraint: 500 = 1(t) + 4(h)
Q: Given a Utility function: U(x,y) = 3xy. Suppose the Price of x is 2, and the price of y is 4. What…
A: Introduction Benefits obtained or satisfaction felt as a result of using products or services are…
Q: Donna and Jim are two consumers purchasing strawberries and chocolates. Jim’s utility function is U…
A: The optimal consumption bundle is obtained at the level where the slope of the budget line becomes…
Q: Rafe is optimally choosing to consume 6 apples and 3 bananas. The prices of apples and bananas are…
A: As the first order condition for the utility maximization problem is : MRS = Pa / Pb As, Pa = 7…
Q: An economy described in an edgeworth box consists of 2 goods, namely X and Y and two consumers,…
A: Given, a two good and two-person economy: Utility functions: A: UA = XAYA B: UB = XBYB Endowments:…
Q: According to Kahneman and Tversky, what is the major problem they find with the basic tenets of…
A: Introduction According to the prospect hypothesis, investors assess gains and losses separately,…
Q: Emelia inherits a collection of 100 Michael Jackson’s CDs (good XA) and 50 Madonna’s CDs (good XB).…
A: The price effect is the change in quantity demanded of a good due to the change in its price. If the…
Q: Ahmad dislikes plain coffee, unless he eats something sweetie with the coffee. In particular, he…
A: ***Since the student has posted a question with multiple subparts, the expert is required to solve…
Q: Given the individual utility function U = 10x^0.5y^0.5. With income, m = $40, the price of good x,…
A: U=10x0.5y0.5Therefore, Marginal rate of substitution (MRS) will be:At optimum, MRS = Price…
Q: Consider a small closed economy with two consumption goods: good 1 (meat) and good 2 (berries).…
A: Production: It refers to the process of producing goods and services in the economy. The more the…
Q: maximize utility
A: Maximizing application refers back to the technique of creating picks to obtain the best degree of…
Q: Tom went to a pizza by the slice bar with Jerry. Tom loves pizza (x), and prefers it, even more,…
A:
Q: Assume that Bob's utility function over beer x and pizza y is U(x,y) = 4x+12y. Which of the…
A:
Q: Reese thinks peanut butter and chocolate are great when separate, but when they combine they are…
A: Utility function : U = xy + x + y Price of x : Px = 2 Price of y : Py = 4 Income : I0 = 1…
Q: · α Each week, an individual consumes x and y of two goods, and works for 1 hours. These three…
A: Given, Utility Function: U(x,y,l)=αln(x)+βln(y)+(1-α-β)ln(L-1) Defined for 0≤l≤L and x,y>0 and,…
Q: Granny lives in the Woods and consumes only bread and fruits. One week she falls ill and has to ask…
A: The utility function refers to the overall happiness or satisfaction that an individual receives out…
Q: (good x) and clothing (good y): 1) u₁(x, y) = 3x²y 2) u₂(x, y) = 2√x + y 3) uz(x, y) = x0.6y0.4 4)…
A:
Q: An individual's utility is given by: U (q1, q2) = a(q1)+ b(q2), where a and b are constants. When…
A: Given that, An individual's utility function is given by U(q1,q2) = a(q1)+b(q2) Here ,this is a…
Q: A social welfare function is thought to be additive along the lines proposed by Bentham and Mill: W…
A: Given Social welfare function: W=U1+U2+....Un ... (1) There are two individuals in the…
Q: A and B consume only two goods, cider (C) and dumplings (D). A has an initial endowment of 10…
A: Utility:The utility is want satisfying power of a commodity. It can be expressed in cardinal and…
Q: (1) Draw an Edgeworth box and show the initial allocation of goods, to be labelled e. Indicate the…
A: Here the lower left hand side corner is the point of origin for David and the top right hand corner…
Q: Starting with utility function U = U(X, Y) and budget constraint PxX+PyY=M, derive the equili- brium…
A: Utility function, U = U(X, Y) and budget constraint PxX + PY *Y = M
Q: Suppose Jack is currently consuming nine movies and nine concerts per month. It his utility function…
A: GIVEN Suppose Jack is currently consuming nine movies and nine concerts per month. If his utility…
Q: Check if the following utility functions represent the same preferences: u = x+y, v = x3 + y3, w =…
A:
Q: (a) (b) (c) Write down Anne's budget constraint and utility maximization problem, and the Lagrangian…
A:
Q: For the utility function U = Qx^0.84Qy^(1-0.84) find the trade-off rate between good X and good Y at…
A: Marginal rate of substitution (MRS) is the economic theory that determines the rate at which a…
Q: Smith and Jones are stranded on a desert island. Each has in her possession some slices of ham (H)…
A: The utility is the strength of goods that satisfies the consumer's wants after consuming them. Thus…
Q: The non-satiation assumption we make about people's's preferences entails that the indifference…
A: Indifference curve shows combinations of two goods that give same level of utility.
Step by step
Solved in 2 steps
- Rafe is optimally choosing to consume 6 apples and 3 bananas. The prices of apples and bananas are p. = 7 and pb - 7. Which of the following utility functions over quantities of apples (a) and bananas (b) could represent Rafe's preferences? = u(a, b)-a4/5 61/5 Ou(a, b) = a¹/5 64/5 Ou(a, b)-a2/3 b1/3 Ou(a, b)-a¹/3 2/3uestion1:Donna and Jim are two consumers purchasing strawberries and chocolates. Jim’s utility function is U (x, y) = xy and Donna’s utility function is U (x, y) = x2y where x denotes strawberries and y denoteschocolates. Jim’s marginal utility functions are MUX=y and MUy=x while Donna’s are MUX=2xy and MUy=x2. Jim’s income is $100, and Donna’s income is $150. What is the optimal bundle for Donna if the price of strawberries is $2 and the price of chocolate is $4? What is the optimal bundle for Jim, and for Donna, when the price of strawberries rises to $3?Question2:Consider a one-period ecoJulio loves gardening. His favourite plants are tulips and hydrangeas. His utility function is ' u(t,h)= t +100h -h^2 where t is the number of tulipsin his garden and h is the number of hydrangeas in his garden. suppose he has a 500 square feet for his garden. each tulip takes up 1 square foot of space and each hydrangeas takes up 4 square feet. he gets both plants for free.If he wanted to maximize his utility, how many tulips should he plant, what about hydrangeas? b) if his yard was only 144 square feet, how many tulips would he plant? How many hydrangeas? C) In order to plant both tulips and hydrangeas, how big does his garden need to be. carfeully explain.
- Starting with utility function U= U(X, Y) and budget constraint PxX+ PyY= M, derive the equili- brium condition using calculus.For the utility function U = Qx^0.84Qy^(1-0.84) rate between good X and good Y at Qx= 7 and Qy=19 find the trade-offSuppose that David and his friend Wilson derive utility from consuming two types of snacks: onion rings (9₁) and chips (9₂). The utility function for each individual is U (9₁, 92) = 9192. Their indifference curves for these two goods are assumed to have the usual (convex) shape. Suppose David has an initial endowment of 35 onion rings and 10 chips, and Wilson's initial endowment consists of 5 onion rings and 20 chips. (1) Draw an Edgeworth box and show the initial allocation of goods, to be labelled e. Indicate the initial quantities of each person's goods on the four axes.
- Suppose Kayla has preferences over cakes (c) and pints of ice cream (i) that can be characterized using the utility function u (c, i) = √ci. Kayla is currently in possession of 2 cakes and 4 pints of ice cream. If you offered to trade her one cake for some ice cream, how many pints would she be willing to give you?Smith and Jones are stranded on a desert island. Each has in her possession some slices of ham (H) and cheese (C). Smith prefers to consume ham and cheese in the fixed proportion of 2 slices of cheese to each slice of ham. Her utility function is given by Us = min(10H, 5C). Jones, on the other hand, regards ham and cheese as substitutes – she is always willing to trade 3 slices of ham for 4 slices of cheese, and her utility function is given by UJ = 4H + 3C. Total endowments are 100 slices of ham and 200 slices of cheese. a. Draw the Edgeworth Box diagram for all possible exchanges in this situation. What is the contract curve for this exchange economy? b. Suppose Smith’s initial endowment is 40 slices of ham and 80 slices of cheese (Jones has the remaining ham and cheese as her initial endowment). What mutually beneficial trades are possible in this economy and what utility levels will Smith and Jones enjoy from such trades? c. Now imagine a new endowment in which Smith has 60 slices…Anne is going to the grocery store to buy some fruit. She can buy either apples or oranges. Let a be the quantity of apples she buys, and let zo be the quantity of oranges she buys. Her utility function is: u(xa, xo) = ln xa + 3 ln xo Anne has y pounds to spend. The price of apples is pa and the price of oranges is po (a) (b) Write down Anne's budget constraint and utility maximization problem, and the Lagrangian associated with this utility maximization problem. Find Anne's Marshallian demand functions for apples and oranges. Find Anne's indirect utility function.
- Answer allTom went to a pizza by the slice bar with Jerry. Tom loves pizza (x), and prefers it, even more, when he can eat them with Coke (y). While Jerry is super hungry and will devour any amount of pizza and Coke available to him, Tom knows that there is a sweet spot for him, that is, an amount of pizza and Coke that maximizes his satisfaction. Tom’s preferences are represented by the utility function: u(x,y) = min{5,min{x,2.5y}}Tom took $30 with him to the pizza joint, and when he got there he saw the prices for a slice of pizza or a cup of Coke were $3 and $1.50, respectively. a.) What is Tom’s budget constraint? b.) How many slices of pizza and cups of Coke will Tom choose, in order to maximize his utility? Also, how much money does Tom uses? Assume Tom will not spend any money that does not increase his utility. c.) If Jerry needed money from Tom, what is the most money Tom can lend him? Explain.Donna and Jim are two consumers purchasing strawberries and chocolate. Jim’s utility function is ?(?,?) = ?? and Donna’s utility function is ?(?,?) = ?2? where x is strawberries and y is chocolate. Jim’s marginal utility functions are MUx=y and MUy=x while Donna’s are MUx=2xy and MUy=x2. Jim’s income is $100, andDonna’s income is $150. What is the optimal bundle for Donna if the price of strawberries is $2 and the price of chocolate is $4?