3. Suppose Product X is a normal good and its price (Px) decreases. Graphically illustrate its Substitution and Income Effects using individual's budget and indifference curves
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- A KU student maximizes his sporting utility by playing Golf (G) and Tennis (T). His function is given as: U(G,T) = G + T Graphically characterize the student’s indifference curve. What is the Marginal Rate of Substitution between Golf and Tennis What is the behaviour of the Marginal Rate of Substitution for these type of goods.1. 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?A decrease in the price of good Y will have what effect on the budget line on a normal X-Y graph? Select one: OA. Parallel outward shift of the line OB. Parallel inward shift of the line OC. Decrease the horizontal intercept COD. Increase the vertical intercept
- 5) Consider indifference curves for the consumption of milk and chocolates (you may assume that both are 'goods'). The indifference curves are drawn with the number of chocolate bars on the horizontal axis and pints of milk on the vertical axis. Suppose that at every point, consumer A's indifference curve is flatter than consumer B's. What can you conclude about consumers A and B tastes and preferences?Question 4 The utility function is x+min(6,y). Income is 12, price of good x is 3. Price of good y decreased from 4 to 1. What are the income and substitution effects of this price change for both goods? Edit ViouProblem 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 =
- Subpart 7 only2 Indifference curves Suppose an individual who derives utility u(x, y) from consuming a units of good X and y units of good Y. Derive the indifference curve for a level of utility U for each of the following utility functions. Draw them in the graph below for a utility level U = 18. (A) u(x, y) = 2x + 3y (B) u(x, y) = min{3x, y} (C) u(x, y) = xy6) Indifference curves represent: a) Ability to pay b) Total Utility c) Marginal Utility d) None of the above
- 4- An indifference curve connects points on a graph representing different quantities of two goods, points between which a consumer is indifferent. Food Clothing a) Danyal is obsessed with food and clothes. Assume you have no knowledge of the budget line, what point would Danyal prefer to be at. b) Why can't two indifference curves not intersect, explain and illustrate your answer. c) As we move from point c to f, who's marginal rate of substitution declines.Rakhi likes to consume only two commodities X and Y, and nothing else. Both the commodities give her positive utilities, thereby giving rise to her preferences being well- behaved and convex. However, she treats commodity X as an inferior good. Suppose Rakhi earns an income of 1000 per month and the ongoing prices of commodities X and Y are 20 and 10, respectively. (a) Show, with the help of a diagram, what will happen to her optimal consumption of commodity X, in each of the following circumstances: Situation A: Price of X falls to 10, while everything else remains the same. Situation B: Her income increases to 2000, while prices remain the same. (b) What can you say about the demand curve for commodity X that Rakhi’s choice behaviour would produce? Elaborate, with the help of diagram.