Consider the following utility function:U= 100x0.50,0.50A consumer faces prices of P, = $2 and P, =$1.Assuming that graphically good X is on the horizontal axis and good Y is on the vertical axis, suppose the consumer chooses to consume 6 units of good X and 11units of good Y. Then the marginal rate of substitution is equal to:MRS = 1.83. (Enter your response rounded to two decimal places. Do not forget to include the negative sign.)Use absolute values.The consumer should consumeto maximize utility.more Y and less Xthe same amount of X and Ymore X and less YO étvMacBook Air80escF1F2F3F4F5F6F7F8#$%&127QWETYtabSDFGcaps lockCVMftcontroloptioncommandつつエBN

Answered: Image /qna-images/answer/e1d0d1d4-dcde-4ffd-8891-d47cd4bfee90.jpg

Answered: Consider the following utility…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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1) Max chooses to purchase movie tickets and restaurant meals every week with his $100. If the price of a movie ticket is $20 and the price of a restaurant meal is $25, then the slope of his budget constraint will be, a) 1/5 b) -1/5 c) 4/5 d) -4/5 2) Marginal rate of substitution(MRS) is the rate at which consumer is willing to trade one good for another. It must be true that: a) MRS is the slope of an indifference curve in reference to a particular bundle of goods. b) MRS is not the same along an indifference curve that is of usual shape. c) MRS is same along an indifference curve that is of usual shape. d) Both a) and b).
Dana's utility function is U(x,y) =3.2 x3.7y7.9. It follows if she has 2.4 units of good X and 1.1 units of good Y, her marginal rate of substitution (of good X in terms of good Y) is equal to ...
The utility function of a consumer is u = √x + 2y. (a) Calculate how much MRS of that consumer when x = 4. (b) If the consumer currently consumes 4 units of goods x and the price ratio of Px / Py = 1/4, then the consumer should increase or decrease the consumption of goods x?
Assume, as in Exercise 22.1, that a consumer has utility function F or fruit and chocolate. Determine the consumer's demand functions q1(P1, P2, M) and q2(P1, P2, M). Determine also It* in terms of P1, P2 and M. Find the indirect utility function and show that It* = 8Vj8M. Suppose, as before, that fruit costs $1 per unit and chocolate $2 per unit. If the income is raised from $36 to $36.5, determine the precise value of the resulting change in the indirect utility function. Show that this is approximately equal to (O.5)λ*, where λ* is evaluated at P1 = 1,P2 = 2 and M = 36. Exercise 22.1 A consumer purchases quantities of two commodities, fruit and chocolate, each month. The consumer's utility function is For a bundle (X1, X2) of X1 units of fruit and X2 units of chocolate. The consumer has a total of $49 to spend on fruit and chocolate each month. Fruit cost $1 per unit and chocolate costs $2 per unit. How many units of each should the consumer buy…
Q.3 A utility function is given by the equation U = 120 x0.7 y0.3 where x is the number of hours spent playing golf and y is the hours spent playing cards per month. Calculate the values of x and y for which utility is maximised, subject to the constraint 21x + 3y = 180
Consider an individual with preferences represented by the following utility function: U (x1, 12) = x{x; The individual faces prices: P1 = 0.5; p2 = 1 And has income: M = 250 If the price of good one increases to p1 =1 For this change in price, mark all of the following answers that are correct. (EV = equivalent variation; CV = compensating variation) O In absolute value, EV is greater than Cv O In absolute values, change in Consumer surplus is smaller than CV. O In absolute value, CV is greater than EV In absolute values, change in Consumer Surplus is smaller than EV. There is not enough information to determine an answer.
Consider a person who consumes two goods, x and y, and has a utility function given by U(x, y) = In(x)+y. This person has an income of $100 and faces a price of $0.50 for good x and $1 for good y. Price of x then rises to $0.60. Solve for the compensating variation (CV) and equivalent variation (EV) of this price change. Show your work.
For the utility function, U = 2x1/2 + y What are the income and substitution effect of price changes in Px and Py respectively?
Given the following utility function: and marginal utilities: A consumer facing the following prices: chooses to consume: U = 2X + 2Y Assume that graphically good X is on the horizontal axis and good Y is on the vertical axis. Given this consumption bundle, the marginal rate of substitution is equal to - Given this value, the consumer should consume MU, = 2, MU, = 2 P, = $2, P, =5 15 units of good X and 19 units of good Y. (Round your answer to two decimal places. Note that the minus sign is already included). in order to maximize his/her utility.

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