The answer is option b) a vertical line.
If U(x,y) = x then , it doesn't matter what is the Consumption of good y, utility will always be equal to Consumption of x . An indifference curve is a set of bundles that give you the same level of utility. Therefore , all the points at a given value of x =k for any value of y will give the utility k and hence represent an indifference curve which will be a vertical line.
Suppose that a consumer's utility function is u(x, y) = x, defined for all bundles such...
8) Suppose a consumer's utility function is defined by u(x,y)=3x+y for every x>0 and y>0 and the consumer's initial endowment of wealth is w=100. Graphically depict the income and substitution effects for this consumer if initially P=1 P, and then the price of commodity x decreases to Px=1/2. 10 pts
Question 6 (Utility). Suppose a consumer's utility function is given by U(x, x)=x7x2 Draw an indifference curve with a value of 10 and an indifference curve with a value of 16. Label two points on each indifference curve as well as the axes. a) b) What is the marginal utility with respect to xi? What is the marginal utility with respect to x? What is the
Suppose that there two goods X and Y, available in arbitrary non- negative quantities (so the the consumption set is R2). The consumer has preferences over consumption bundles that are strongly monotone, strictly convex, and represented by the following (differentiable) utility function: u(x, y)-y+2aVT, where z is the quantity of good X, and y is the quantity of good Y, and a 20 is a utility parameter The consumer has strictly positive wealth w > 0. The price of good...
3. A consumer's preferences over a and y are given by the utility function u(x,y) - 2vr 2/y. The individual's income is I $100. The price of a unit of good c is $2, while the price of a unit of good y is S1. a) Graphically describe: i. the consumer's preferences for r and y ii. the budget constraint (b) Find the optimal x that the consumer would choose. You may assume (c) What is the consumer's MRS at...
5. Consider the utility function U(x, y) = 2/x + y. 1) Is the assumption that "more is better” satisfied for both goods? 2) What is MRS, for this utility function? 3) Is the marginal rate of substitution diminishing, constant, or increasing in x as the consumer substitutes x for y along an indifference curve? 4) Will the indifference curve corresponding to this utility function be convex to the origin, concave to the origin, or straight lines? Explain.
) A consumer's utility function is given by: U(x,y) = 10xy Currently, the prices of goods x and y are $3 and $5, respectively, and the consumer's income is $150 . a. Find the MRS for this consumer for any given bundle (x,y) . b. Find the optimal consumption bundle for this consumer. c. Suppose the price of good x doubles. How much income is required so that the Econ 201 Beomsoo Kim Spring 2018 consumer is able to purchase...
3. Suppose the utility function for two goods, x and y, is: U = U(x,y) = xłyż. a. Graph the indifference curve for U = 10. b. If x = 5, what must y equal to be on the U = 10 indifference curve? What is the MRS at this point? c. Derive a general expression for the MRS for this utility function. Show how it can be interpreted as the ratio of the marginal utilities. d. Does this individual...
1.3 The consumer's utility function is given by U(X,Y) = 2X + Y and the given bundle is X = 1, Y-3. MRS = Draw your graph in the space provided. Label at least some tick marks on the axes to make reading the graph easier
3) A consumer's utility function is u(x,y)22 (a) Find the consumer's optimal choice for x, y as functions of income I and (b) Sketch the demand curves for x, y as functions of income I when prices prices pa,Py. (Be careful!) are p 16,Py 2. (Be careful!)
Question 2. Consider the following 8 bundles of goods x and y: A = (8,4) B = (5,6) C = (5,9) D = (10,3) E =(1,4) F =(6,5) G=(2,8) H =(7,8) (a) Come up with an example of a utility function that will produce the following order of preference for the bundles, where H is most preferred, A and G are equally preferred, and E is least preferred. H , C , B , F , A = G ,...