Name 1. (3 pts.) Draw the budget lines representing the following information. In each case identify...
2. (3 pts.) Given the graph below: a. At point A is MRS equal to, greater than, or less than the ratio of the prices (circle one b. Will they buy more of Y or more of X or maintain the combination of goods at A to c. What will the value of the MRS be when the consumer is maximizing their utility given option)? maximize their utility (circle one option)? the budget line shown in the graph? 10
The following graph shows three indifference curves and budget constraints for a consumer. The consumer is initially consuming at point A, on the indifference curve Ui and is constrained by the budget constraint BC1 (indicated by the blue line) Bc3 10 Ul BC BC 10 Suppose the government provides this consumer a subsidy on good x, which effectively lowers the price of x. This is represented by a of BC1 out away from the origin. The result is this consumer...
2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer Utility Function C1 u(x,y) = 2x+2y C2 u(x,y) = x^3/4y^1/4 C3 u(x,y) = min(x,y) C4 u(x,y) = min(4x,3y) On the appropriate graph, draw each consumer’s indifference curves through the following points: (2,2), (4,4), (6,6) and (8,8), AND label the utility level of each curve. Hint: Each grid should have 4 curves on it representing the same preferences but with different utility levels. 3. In the following parts,...
Suppose an individual’s utility function for two goods X and Y is givenby U(X,Y) = X^(3/4)Y^(1/4) Denote the price of good X by Px, price of good Y by Py and the income of the consumer by I. a) (2 points) Write down the budget constraint for the individual. b) (4 points) Derive the marginal utilities of X and Y. c) (3 points) Derive the expression for the marginal rate of substitution of X for Y. Write down the tangency...
* Note: The most relevant sections of the textbook are 3.1 and 3.2 but the material builds on earlier content 1) Suppose that Nadeem has the same utility function as Lisa did in assignment 1 of U(x,y) - x""ybut the two goods are chickpea curry units/wk (represented by x) and rice units/wk (represented by y). As before, his marginal utility functions for x and y are respectively: MU_(x,y)==0)** [2] and MU,(x, y) =*)*** [2] In assignment 1, the marginal rate...
3 , 4 , 5 and 6 ECON 2023 Spring 2019: Homework #1 Let the utility derived from goods X and Y be as follows for a rational individual: Unit of Good TU X TU Y 8 utils 5.5 utils 15 utils 10.5 utils 21 utils 15 utils 26 utils 19 utils 30 utils 22.5 utils 33 utils 25.5 utils 35 utils 28 utils 36 utils 30 utils 36 utils 31.5 utils What is a 'commodity bundle' (you can assume...
1. Suppose U(X1, X2) = 2lnx, + 3lnx, and P, = 4, P2 = 1, and m = 20. (15pts) a. Solve for the Utility maximizing amounts of x, and X2. b. Is this an interior or corner solution? c. Is the budget exhausted here? Yes/no d. Assume that the above prices and income have all doubled. How does this change your solution in a? e. Set up the Lagrangian for this problem (but do not solve it) 2. Suppose...
1 [75 points; Chapter 5] You are to solve the consumer choice problem for three different consumers. Each consumer has $150 to spend (income) and faces prices Px = $2 and Py = $3 for goods X and Y. Consumers I, II, and III have utility functions U'(X, Y) = X? + Y, U"(X, Y) = X12 + Yl2, and UTM(X, Y) = X´Y, respectively. For each consumer, do the following steps. a [15 points] Carefully express the consumer's choice...
Use the following information to complete PART E ONLY. 1. Consider the following (Cobb-Douglas) utility function: U = xºYº And budget constraint: M P_X + P,Y *Treat Pc, P, M, a, and B as positive constants. Note, a + B 5 1. Using these equations, please answer the following questions: a. Formally state this consumer's utility maximization problem and write down the relevant Lagrangian. (6 pts) b. Using your work from part "a.", derive demand curves for X and Y....
WID Name: 6) Refer to the diagram on the right. Which of the following statements is correct? A) This individual receives no satisfaction from Good A. B) This individual receives no satisfaction from Good B.2 C) This individual will only consume A and B in fixed proportions. D) none of the above Good B Increasing → utility Good A 7) Fisher's utility function for trout (T) and salmon (S) is given by U-ST, where the Mur-S and MUs = T....