Marginal utility (MU) of an additional unit of good x is d(u(x,y)) / dx
u(x,y) = x2/3 y1/3
MU of good x (MUx) = (2/3)* x-1/3 y1/3
= (2/3) *(y/x)1/3
given, x = 2 and y = 16
MUx = (2/3) (16/2)1/3
MUx = 4/3 = 1.33
Question1 1 pts Find the marginal utility of an additional unit of good a for a...
Part 1: Find the marginal utility of an additional unit of good x for a consumer with utility function when their current consumption level is and Part 2: Find the marginal rate of substitution between goods and for a consumer with utility function when their current consumption level is and u (z, y) x-y- 2 = 16 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe...
Question 1 For the following utility functions (3 pts each for a, b, and c): • Find the marginal utility of each good at the point (5, 5) and at the point (5, 15) • Determine whether the marginal utility decreases as consumption of each good increases (i.e., does the utility function exhibit diminishing marginal utility in each good?) • Find the marginal rate of substitution at the point (5, 5) and at the point (5, 15) • Discuss how...
Consider a consumer in a two good economy whose preferences are rep resented by the following utility function U(x, y) = Vo+y d) Find her expenditure function, E(pr. Py, U). e) Solve her utility maximization problem for when pz = 1TL, Py = 4TL. and, I = 16TL. f) Solve her expenditure minimization problem for when pr = 1TL, Py = 4TL, and, U = 2. g How much do we have to compensate her (in terms of money) to...
At the consumer's optimal consumption bundle, the MRSxy is 4, and the marginal utility of good X is 8. What is the marginal utility of good Y? Select one: a. 24 b. 1/2 c. 16 d. 2
Q3: a. Consider a Cobb-Douglas Utility Function Find marginal utility of Y. Does marginal utility of depend on the level of consumption of X? how do you know? Explain b. Find slope of the indifference curve. c. Find MRS and draw the indifference curve for above function.
Consider a consumer in a two good economy domy whose preferences are rep- resented by the following utility function U(z,y) = x + y a) Find her Marshallian demand functions for good X and good Y , 1.e., x* (Pæ, Py, I) and y* (Pz, Py, 1)? b) Find her Hicksian demand functions for good X and good Y, i.e., x" (Pc, Py, U) and yº(Px; Py, U)? c) Find her indirect utility function, V(Pa, Py, I). d) Find her...
Please help with these questions
Question 1 0.8 pts Marginal utility O occurs when a consumer buys more of a good as a result of a relative price change O occurs when total utility declines as consumption increases. O occurs when there is a change in purchasing power as a result of a change in the price of a good. O is the additional satisfaction derived from consuming one more unit of a good or service. is the combination of...
If the marginal utility of good 1 is 15 and its price is $3, and the marginal utility of good 2 is 12, and its price is $4, then the consumer___________ should increase his or her consumption of good 2. should increase his or her consumption of good 1. has achieved a consumer optimum should decrease his or her consumption of good 1.
How many units of consumption
of good 1 maximizes utility?
37.5 units of good 1
24.34 units of good 1
16.67 units of good 1
5 units of good 1
None of the above
50.5 units of good 1
How many units of consumption of good 2 maximizes utility?
None of the above
37.5 units of good 2
16.67 units of good 2
5 units of good 2
24.34 units of good 2
37.5 units of good 2
What is...
Question 2
Question 2 (15 pts) A consumer has preferences represented by the utility function u(x,y) -xlyi. (This means that a. What is the marginal rate of substitution? b. Suppose that the price of good x is 2, and the price of good y is 1. The consumer's income wWhat is the optimal quantity is 20. What is the optimal quantity of x and y the consumer will choose? c. Suppose the price of good x decreases to 1. The...