ceton uer, 1) to 124, kapjes med et par Bob has the utility function u(x,, x))...
1 pts Question 2 A consumer has preferences represented by the utility function: u(x1, x2)= x x Market prices are pi = 3 and P2 = 4. The consumer has an income m 30. Find an expression for the consumer's Engel curve for good 1. x1(m). ооо D Question 3 1 pts
Consider the following utility function of 2 goods, x and y: U(x,y)= - [(x-10)2 + (y-10)2]; x,y≥0 The prices of good x and y is 10 and 20 respectively. The income is denoted by m. a. Draw the indifference curves for the utility function and use arrows to explain in which direction utility increases or decreases. b. Find the consumption bundle that maximizes utility for the consumer. c. Find the Engel curve.
Problem 2 (30 marks) A consumer has a utility function (11,12)= = = (a) Express the consumer's demand for good l as a function of prices and income. (b) Draw an Engel curve for the consumer's demand for good 1 when the prices are given by Pi = 1, and P2 = 1. (c) Draw another Engel curve for the consumer's demand for good 1 when the prices are given by Pi = 1, and p2 = 3. (d) Draw...
04 19 A consumer has the utility function U (91, 92) = 91 92 where A=3 and B=9. The prices are p1=3 and p2=7. The consumer has an income of Y=362. The resulting Engel curve for good 1 will be: E = aY Calculate the value of "a". Round your answer to the nearest 0.0001 (that is, provide 4 decimal places). SERIES
7. Jay's Utility function is given by U(x,z) = 3x10.2 x20.8 and P1=$2 and P2=$4 and his budget is $200. Write out the Lagrange but DO NOT solve it Find the utility maximizing values of x1and x2 8. What does the substitution effect cause a consumer to do if the price of a good increases? 9. What does the income effect cause a consumer to do if the price of a good increases? What else is needed here? 10. What...
Treat Bob and Joe as having the same utility function as
provided at the beginning of the question
Indifference curves and utility: Consider the utility function U (qi,%)-2q1/2 + q2 that describes Joe's preferences. For the following, think of q1 as the variable you would graph on the horizontal axis. 3. a. Derive an expression for his marginal utility (U) from a small increase in qi holding q2 fixed. Also, find b. What is Joe's marginal rate of substitution (MRS)?...
1. Ms. Rada has a utility function u(x,y) = xy and an income of $250. Suppose the price of good y is $4 a unit. Find the consumer’s demand function for good x. (a.) x* = 125/(4Px) (b.) x* = 125/Px (c.) x* = 250/Px (d.) x* = 250/(0.5Px) 2. A consumer has a demand curve of X = 550 – 2.5Px– 10M, where Pxis the price of good X, and M is income. In this case, good X is...
Treat Bob and Joe as the same individual and having the same
utility function as provided at the beginning of the question.
Looking for the solutions to part e and f.
Indifference curves and utility: Consider the utility function U (qi,%)-2q1/2 + q2 that describes Joe's preferences. For the following, think of q1 as the variable you would graph on the horizontal axis. 3. a. Derive an expression for his marginal utility (U) from a small increase in qi holding...
1. (20 points) Mac has utility over x; and x2 given by u(x1, x2) = min . If P. = $1. P. = $1. and I = $100. find the value of xı* (Hint: This is Leontief utility, the kind with right-angled indifference curves) 2. (10 points) If P, = $4, P2 = $2, and I = $20, and my utility is given by u(x1, x2) = 4x1 + 3x2, find x* (Note: I'm asking for optimal consumption of Good...
answer e and f only please
Exercise 3. Slutsky (Quasilinear) The utility function is u = x + xy, and the budget constraint is m=P,X, + P2XZ. a) Derive the optimal demand curve for good 1, x,(PP2), and good 2, x2(m, PP.). b) Looking at the cross price effects (@x_/ôp, and Ox_/ôp.) are goods x, and X, substitutes or complements? Looking at income effects (@x,lôm and Ox_lām) are goods x, and X, inferior, normal or neither? c) Assume m=100, =0.5...