QUESTION 5 Reshad's preferences over goods 1 and 2 are given by the following utility function: Uq1. 42) Reshad's income is $60 and the prices are given by p1-3 and p2-2. Select all that applies: 1+q1 42 41 a. Marginal rate of substitution for his preferences is given by MRS12 When he consumes zero amount of good 1, his MRS is equal to 1. c. It is optimal for him to consume 20 units of good 1. @dㆎt is optimal...
(Please ignore the dashed line)
Problem 10. Let an individual's utility function be given as ux,, )-2v,vx, (a) Compute the Marginal Rate of Substitution. b) Initially, the individual consumes bundle 100, 125) Then, the individual's consumption of the first good is cut to x,-50. What is the new, level of consumption of good 2, r, that the individual needs to consume in order to reach the same utility level as before? c) Given the prices p, 1 and p2 for...
Suppose a consumer has quasi-linear utility: u(x1, x2) = 3.01 + x2. The marginal utilities are MU(X) = 2x7"! and MU2:) = 1. Throughout this problem, assume P2 = 1. (a) Sketch an indifference curve for these preferences (label axes and intercepts). (b) Compute the marginal rate of substitution. (c) Assume w> . Find the optimal bundle (this will be a function of pı and w). Why do we need the assumption w> (d) Sketch the demand function for good...
4. consider the following utility functions
a) for each of these utility function what is the equation of an
indifference curve ?
c) for each utility function show weather the function exhibits
the diminishing rate of substitution property
d) do the above utility function represent the same preference
ordering? why or why not?
c) Suppose the price of beer doubles, but the price of pizza and Tom's income stay the same. How much beer is Tom consuming as a percentage...
A consumer has preferences represented by the utility function u(x, y) -xlyi. (This means that a. What is the marginal rate of substitution? b. Suppose that the price of good x is 2, and the price of good y is 1. The consumer's income is 20. What is the optimal quantity of x and y the consumer will choose? c. Suppose the price of good x decreases to 1. The price of good y and the consumer's income are unchanged....
Microeconomics:
1. There are two kinds of goods, food F and shelter S, which are only available in non-negative quantities. Ann's utility from consuming bundle (F, S) is given by the function U(F, S) = F0.690.2. Bob's utility from consuming bundle (F, S) is given by the function V(F, S) = F0.75 0.25 PF (a) (Time: 1 minute) What is Ann's utility level from bundle (F1, Si) = (1.1)? What about Bob's utility level? What is Ann's utility level from...
I need help with 1.2 and 1.4
Thank you
26 Chapter I. Trade without Money: The Role of Record Keeping 1.2. Suppose a person faces theollowing two bundles: Bundle A, which consists of 6 units consumption good when a person is young and 12 units of the consumption good of the of the consumption good when a person is young and 10 units of the consumption good when a person is old (Cl 4 and c2-: 10), which bundle would...
Question 2 (15 pts) A consumer has preferences represented by the utility function ufa,y)ty. (This means that Muy and Muy ly 1) a. What is the marginal rate of substitution? b. Suppose that the price of good x is 2, and the price of good y is 1. The consumer's income is 20. What is the optimal quantity of x and y the consumer will choose? c. Suppose the price of good x decreases to 1. The price of good...
Question 2
Question 2 (15 pts) A consumer has preferences represented by the utility function u(x,y) -xlyi. (This means that a. What is the marginal rate of substitution? b. Suppose that the price of good x is 2, and the price of good y is 1. The consumer's income wWhat is the optimal quantity is 20. What is the optimal quantity of x and y the consumer will choose? c. Suppose the price of good x decreases to 1. The...
A consumer uses his income I for the consumption of two goods ?1 and ?2. He maximises utility at given product prices ?1, ?2. His preferences with respect to both products can be described by an ordinal utility function ?(?1,?2), which exhibits a decreasing marginal rate of substitution (normal preferences). Please indicate whether the following statements are right or wrong in this context. If a statement is wrong, then describe briefly what is wrong (one sentence). a) A double value...