Homer is a street person whose preferences over the two goods he consumes, food (good 1) fortified wine (good 2) are represented by the utility function U(x1,X2)=X;X2 (MU;=x2°, MU;=8x,x;"). Homer receives a pension of $100.00 per week. He can buy food at the 1 dispensary at a price of $4 a bucket. The local convenience store sells fortified wine at 5 gallon jug. a. What is Homer's MRS?
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- Suppose 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.Steve's utility for socks (q1) and other goods (q2) is given by U(q1,q2) = 10q10.1 0.1q² 0.9 The price of the composite good is p2=1 and the price of a pair of socks is p1=2. Steve's income is Y=100. Every year, Steve's mom buys him 20 pairs of socks. How many dollars is the equivalent variation of the $40 that his mom spends on socks every year?Suppose Jimi has reference dependent preferences over guitars and money as in Tversky and Kahneman (1991). His utility functions are given below. Gains Gains 400 2 -2 -2 Guitars 24 Losses Losses -600 -2 What is the least amount of money Jimi is willing to accept to sell one of his guitars? (just enter a dollar amount, i.e., "1000", not "$1000"
- Please provide full derivation, and 5. Casper consumes cocoa and cheese. Cocoa is sold in an unusual way. There is only one supplier, and the more cocoa you buy from him, the higher the price you have to pay per unit. In fact y units of cocoa will cost Casper y2 dollars. Cheese is sold in the usual way at a price of 2 dollars per unit. Casper's income is 20 dollars and his utility function is U(x, y)=x+2y, where x is his consumption of cheese and y is his consumption of cocoa. a. Sketch Casper's budget set and shade it in. b Sketch some of his indifference curves and label the point that he chooses. c. Calculate the amount of cheese and the amount of cocoa that Casper demands at these prices and this income.Two students go out to lunch and decide to split the bill evenly between them. Each student has a quasi-linear utility function given by ui(fi , xi) = φi(fi) + xi , where φi(·) is strictly concave, fi is the amount of food consumed by student i, and xi is a composite numeraire good. Each student has a fixed budget of mi . EVALUATE THIS CLAIM: Both students eat too much!Clarice has a utility function: U(Y) = 1000 - (100/Y), where Y is her income. clarice has just graduated from college and has a career choice for her first job of either working as a teacher and earning $40,000 or trying to become a theatre lighting director and earning $70,000 (if there is growth in the demand for theatre) or $20,000 (if there isn't growth in the demand for theatre). there is a 50% probability of growth. a consulting firm guarantees Clarice that it already knows whether there will be growth in the demand for theatre next year. what is the maximum amount Clarice should be willing to pay for this information?
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- For a consumer with a utility function u=3x^2y^2 when px=3 and py=4, find the consumption levels that maximize his utility under the $120 budget constraint. What is the maximum benefit?Please answer all the questions below Leonidas has a utility function u(x, y) = x + 3y, an income of 12 and works in Sparta, where the prices of x and y are both 2.(a) What is Leonidas’ current utility?(b) Leonidas’ boss is thinking of sending him to Athens where the price of x is 1 and the price of y is 4. Leonidas says this is as bad as a cut in pay of γ. What is γ equal to?(b) He also says that he wouldn’t mind moving if his pay was increased by δ when he moved. What is δ equal to?John has $300 as income and he uses his income only for apples and bananas. If he uses his income only for apples, he can buy 10 pounds. If he uses his income only for bananas, he can buy 15 pounds. Which one is the correct formula for his budget constraint when X=pounds of apples, Y=pounds of bananas and the prices are per pound? a) More information is needed to answer the question. b) 15X + 10Y = 300 c) 10X + 15Y = 300 d) 20X + 30Y = 300 e) 30X + 20Y = 300