QUESTION 6 If we write possible outcomes as (Utility of A, Utility of B), which of the following outcomes would a Utilitarian social welfare function select O (19, 1) O 7.7) O (-1, 22) O (0. 13)
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- 5. The Metropolis city council is trying to decide whether to let a new business, Lexcorp, cut down a local forest. The city council has asked you to help determine the value the town places on the forest. You conduct a stated preference survey. When asking if people would be willing to pay $70 to preserve the local forest, 15% respond 'yes'. When asking if people would be willing to pay $20, 65% of people respond yes. There are 50,000 people in the city. a. What is the average individual's demand curve for the forest, based on your survey? b. Based on your survey, what's the expected benefit to each individual of having free access to the forest? c. The people of the city currently have free access to the forest. Lexcorp is offering 1,800,000 to cut down the forest. Should the city council accept the offer, given the implied value the whole town places on free access to the forest?Suppose that consumer has the following utility function: U(X,Y) = x'/3y1/2, Suppose also that Px: 2, Py respectively? %3D 3 and I = 120. What would be the optimal consumption of X and Y at the equilibrium, O 12, 32 48, 8 36, 16 O 24, 241. For each of the three utility functions below, find the substitution effect, the income effect, and the total effect that result when prices change from p = (2,1) to p' = (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects to be found below. (b) u(x1, x2) = x1 + x2. (c) u(x1, x2) = x1x2. (d) u(x1,x2) = min {x1,x2). (e) Rank the substitution effects and the income effects found above by their magnitude. To what extent do they conform to your guess?
- Problem 2 Suppose that John's preferences over meat (M) and vegetables (V) are represented by the following utility function U(M,V) = a ln(M) + (1 − a) ln(V) where 0 < a < 1. ¹No claim of realism is made for the numbers in this example. 1 (a) Write down the Lagrangian for John's optimization problem. (Recall that John max- imizes utility given an income, I, and prices på and på for the goods.) (b) Solve for John's optimal consumption bundle (M*, V*) (as a function of income and prices) using the Lagrangian method. = (c) Suppose a = . Suppose also that John has income I = 1 and pv 2. What is the value of John's optimal happens if John's income doubles to I = 400? 200 and faces prices p consumption bundle? What =6. If intertemporal preferences are consistent and the lifetime utility function is additive, then the discount function 8(t) must be (a) bounded (b) exponential (c) hyperbolic (d) linear (e) logarithmic4. What kind of preferences are represented by a utility function of the form u(r1, r2) = VI1 + x2? WWhat about the utility function v(r1,r2) = 13.r, + 13.r2? %3D %3D
- The graph given below indicates Marshall's marginal utility for two products, A and B. Marginal utility 24 20 16 12 8 4 0 (1) Quantity 1 2 3 4 5 6 2 (2) Product A MU 4 Quantity of A: Quantity of B: 6 8 Quantity per period (3) Product A (4) MU per $ Product B (at $2) MU 10 Product A Product B 12 a) From the graph above, complete columns 2 and 4 of the table above. Round your answers to whole numbers. b) If the price of both products is $1, what quantity of each good would Marshall purchase if his budget was $8? Quantity of A: Quantity of B: c) Suppose that the price of product A increases to $2. Complete column 3 of table above. d) If Marshall's budget remained the same, what quantities of each good would he now purchase?Refer to the accompanying table. The marginal utility of the 3rd dinner is Total Marginal Utility Utility 100 Number of Dinners. Out Per Week 1 2 3 4 Multiple Choice O о O 155. 55. 120. 65. 220 250 65Could you help me with this question, I would greatly apprecite it. Thank you!
- 5. (12) Max is stocking up on ice cream and cookies; ice cream costs $2 and cookies cost 50 cents ($.50). The marginal utility gained from each treat is given in the table below. If Max is a rational utility maximizer and has $8 to spend, how many of each treat will they purchase, and in what order? Show your work. Qice cream MU of ice Qcookies MU of cream cookies 1234567 40 1 9 32 2 9 26 3 7 18 4 5 8 5 3 6 6 3 4 7 1Number of Sodas per day Total Utility Marginal Utilit 1 20 35 3 47 12 4 10 Refer to the table, The marginal utility of the second soda per day is L. (Answer should be in the form of numerical characters, e.g. 20) Enter your answer hereSuppose the consumer's utility function is given by U(x,y) = X3/5y2/5, and the exogenous variables are given by M = 500, Px = 5, and Py = 4. Price of y changes to Py = 2. What is the income effect ony?O A.-14.53O B. +14.53O C. +24.21O D. +25.79O E. None of the above Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.