ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Question
Answer these short questions :
a) What is the MRS of a well behaved indifference curve?
b) If price 2 is increasing but less than price 1, what will happen to the slope of budget line?
c) What are the preference relations of these group of people X, Y, Z, and the relation "at least as tall as" as in "X is at least as tall as Y".
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- Assume the prices of product X and Y are $1.50 and $1.00, respectively, and that Mr. Chen has $24 to spend. Assume a normal indifference curve. Assume that Mr. Chen needs 4 of product X to maximize utility. a. What is the slope of Mr. Chen's budget constraint. b. Write out Mr.Chen's equation to his budget constraint. c. What combination of X and Y will Mr. Chen purchase? d. Now assume that the price of Y changed from $1.00 to $2.00, redo part a, b and c,arrow_forwardA consumer has the following utility function: U(x, y) = y + x1/2. Let px and py bt the corresponding prices and m her income. a). Write down the corresponding Lagrangian function and find the first order conditions (FOCs). b). Use these FOCs to find the expression for the marginal rate of substitution (MRS). Bearing in mind that the MRS is the slope of the indifference curve, what can you tell about the indifference curves of a quasilinear utility function?arrow_forwardSuppose you are given the following information for a particular individualconsuming two goods, a and b: Pa = $5, Pb = $6, MUa = 100, MUb = 200, and income (m) = $200.a) Sketch the budget set. What is the slope of the Budget Line? What are maximal possibleconsumptions of a and b?b) What is the MRSab for the two goods?c) Is this person maximizing her utility? How can you tell?d) Should she consume more of good a or of b? Explain.e) Why can’t you tell what her optimal bundle is? Explain.arrow_forward
- Que Robert's utility function is U(x, y) = 2/T + y. In every graph for this question, set y in the vertical axis and z in the horizontal axis. (a) Obtain the marginal rate of substitution MRS. Obtain the equation of the indifference curves for Ū = 2 and Ū = 4 (solving for y as a function of 1). Draw these indifference curves, identifying the intersections with each of the axes. (b) Suppose p, = 2 and Robert's income is M = 6. In a new graph, show the total, income and substitution effects (on the demand of r) of a drop in the price of z from p, = 4 to Pz = 2. (c) Now, the store where Robert goes for shopping has changed the prices to p, = 2 and py = 6, however, it also has a new special offer: for any amount of Y that Robert buys, he gets the same amount of X for free. Robert's income is M = 6. Draw Robert's budget line. Write down the equation of this line. Find Robert's utility-maximising bundle. (d)(d.1) Arthur's income is M = 6 and he goes to the same store as Robert. His utility…arrow_forwardGiven that utility function for a consumer is given by u = (x-3)2 + (y-4)2, draw any twoindifference curves for this consumer while clearly labelling the higher one as ‘H’ and lower oneas ‘L’. Does he prefer more of a good to less of it? Does he prefer averages to extremebundles? Explain.arrow_forwardGeorge has a fixed income and can afford at most 7 units of X if he spends his entire income on X. Alternatively, if he spends all his income on Y, he can afford at most 6 units of Y. Draw George's budget line and an indifference curve such that George chooses to buy 4 pieces of X. Martha has the same income and faces the same prices, yet she chooses to buy 2 pieces of X. In equilibrium, what is George's subjective value of X in terms of Y? What is Martha's? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forward
- The utility-maximizing bundle of x and x2may, in some instances, be found at a point of tangency between the budget line and an indifference curve. In other instances, the utility-maximizing bundle will be found at a corner point-that is, where the quantity consumed of one good is zero. For which types of indifference curves shown below will the utility-maximizing bundle definitely be found at a corner point? Choose one or more: A. B. "C. D.arrow_forwardAssume the prices of product X and Y are $1.50 and $1.00, respectively, and that Mr. Chen has $24 to spend. Assume a normal indifference curve. Assume that Mr. Chen needs 4 of product X to maximize utility. a. What is the slope of Mr. Chen's budget constraint. b. Write out Mr.Chen's equation to his budget constraint. c. What combination of X and Y will Mr. Chen purchase? d. Now assume that the price of Y changed from $1.00 to $2.00, redo part a, b and c,arrow_forward
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