Homework Answers
Answer : The answer is option b.
The given utility function is :
u = q1 + 2q2
Here q2 is the double than the q1.
The utility function of option b is :
u = 4q1 + 8q2
Here also q2 is double than the q1.
This means that the utility function of option b and given utility function both of them shows the same preferences. Therefore, option b is correct.
Add Answer to:
1. Suppose that preferences are represented by u q1 2q2. Which of the following utility functions...
4. Suppose preferences are represented by the Cobb-Douglas utility function, u(x1x2) = xx-. a) Show that...
4. Suppose preferences are represented by the Cobb-Douglas utility function, u(x1x2) = xx-. a) Show that marginal utility is decreasing in X and X2. What is the interpretation of this property? b) Calculate the marginal rate of substitution c) Assuming an interior solution, solve for the Marshallian demand functions.
Suppose Bill has preferences over chocolate,x, and ice cream,y, that are represented by the Cobb-Douglas utility...
Suppose Bill has preferences over chocolate,x, and ice cream,y, that are represented by the Cobb-Douglas utility function u(x, y) =x^2 y. 1. Write down two other Cobb-Douglas utility functions, besides the one above, that represent Bill’s preferences. 2. Write down two more Cobb-Douglas utility functions that do NOT represent Bill’s prefer- ences. 3. Draw 3 indifference curves that represents Bill’s preferences at 3 different levels of satsifaction. 4. What is Bill’s marginal rate of substitution between chocolate and ice cream?...
Suppose Alex’s preferences are represented by u(x1,x2) = x1x32. The marginal utilities for this utility function...
Suppose Alex’s preferences are represented by u(x1,x2) = x1x32. The marginal utilities for this utility function are MU1 = x23 and MU2 = 3x1x22. (a) Show that Alex’s utility function belongs to a class of functions that are known to be well-behaved and strictly convex. (b) Find the MRS. [Note: find the MRS for the original utility function, not some monotonic transformation of it.] (c) Write down the tangency condition needed to find an optimal consumption bundle for well-behaved preferences....
For each of the following 5 utility functions assume that α>0 and β>0 U^A (x_1,x_2...
For each of the following 5 utility functions assume that α>0 and β>0 U^A (x_1,x_2 )=x_1^α x_2^β U^B (x_1,x_2 )=αx_1+βx_2 U^C (x_1,x_2 )=αx_1+βlnx_2 U^D (x_1,x_2 )=(α/β)lnx_1+lnx_2 U^E (x_1,x_2 )= -αlnx_1-βlnx_2 Calculate the MRS for each utility function Which utility function represent a preference with linear indifference curves? Which of these utility functions represent the same underlying tastes? Which of these utility functions does not satisfy the monotonicity assumption? Which of these utility functions represent...
Suppose a consumer’s preferences over goods 1 and 2 are represented by the utility function U(x1,...
Suppose a consumer’s preferences over goods 1 and 2 are represented by the utility function U(x1, x2) = (x1 + x2) 3 . Draw an indifference curve for this consumer and indicate its slope.
2. (25%) Consider a consumer with preferences represented by the utility function: u(x1, x2) = min...
2. (25%) Consider a consumer with preferences represented by the utility function: u(x1, x2) = min {axı, bx2} If the income of the consumer is w > 0 and the prices are p1 > 0 and P2 > 0. (a) Derive the Marshallian demands. Be sure to show all your work. (b) Derive the indirect utility function. (c) Does the utility function: û(x1, x2) = axı + bx2 represent the same preferences?
Do the following utility functions represent the same preferences? Please provide your reasoning (a) u(X1; XY)...
Do the following utility functions represent the same
preferences? Please provide your reasoning
(a) u(X1; XY) = X1 X2, V(X; X2) = 3(x] X2)2 +6 (b) u(x]; X») = X1X2, V(X]; X2) =-3(x1x2)2 +6 (c) u(x1,x2)=X]X2,v(x1,x2)=lnx1 +lnx2 (d) u(x]; X) = X1 X2, V(X1; X2) = x1 + x2
3. Suppose an individual has perfect-complements preferences that can be represented by the utility function U(x,y)=...
3. Suppose an individual has perfect-complements preferences that can be represented by the utility function U(x,y)= min[3x,2y]. Furthermore, suppose that she faces a standard linear budget constraint, with income denoted by m and prices denoted by px and p,, respectively. a) Derive the demand functions for x and y. b) How does demand for the two goods depend on the prices, p, and p, ? Explain.
ots) Mark has preferences that can be represented by the following utility function: U(x,y)= (18+x)(+1). Sarah's...
ots) Mark has preferences that can be represented by the following utility function: U(x,y)= (18+x)(+1). Sarah's utility function is v) 6x +60 y - 4x + 2xy - 24 y +29: Do Mark and Sarah have the same preferences? You must prove your answer. U (x, y) = 6x+60 y - 4x + 2
3. Suppose that Bob’s preferences can be represented by the utility function u(x, y) = 32x^0.5...
3. Suppose that Bob’s preferences can be represented by the utility function u(x, y) = 32x^0.5 + y. The MUx = 16x^-0.5 and MUy = 1. (a) Determine Bob’s demand functions for x and y. (b)If the price of x is $8, and Bob’s income is $1000, how many x would Bob consume? How much income would be devoted to spending on y? (c) Suppose that the price of x doubles to $16. Calculate the income and substitution effects. (d)Is...
4. Suppose preferences are represented by the Cobb-Douglas utility function, u(x1x2) = xx-. a) Show that marginal utility is decreasing in X and X2. What is the interpretation of this property? b) Calculate the marginal rate of substitution c) Assuming an interior solution, solve for the Marshallian demand functions.
2. (25%) Consider a consumer with preferences represented by the utility function: u(x1, x2) = min {axı, bx2} If the income of the consumer is w > 0 and the prices are p1 > 0 and P2 > 0. (a) Derive the Marshallian demands. Be sure to show all your work. (b) Derive the indirect utility function. (c) Does the utility function: û(x1, x2) = axı + bx2 represent the same preferences?
Do the following utility functions represent the same
preferences? Please provide your reasoning
(a) u(X1; XY) = X1 X2, V(X; X2) = 3(x] X2)2 +6 (b) u(x]; X») = X1X2, V(X]; X2) =-3(x1x2)2 +6 (c) u(x1,x2)=X]X2,v(x1,x2)=lnx1 +lnx2 (d) u(x]; X) = X1 X2, V(X1; X2) = x1 + x2
3. Suppose an individual has perfect-complements preferences that can be represented by the utility function U(x,y)= min[3x,2y]. Furthermore, suppose that she faces a standard linear budget constraint, with income denoted by m and prices denoted by px and p,, respectively. a) Derive the demand functions for x and y. b) How does demand for the two goods depend on the prices, p, and p, ? Explain.
ots) Mark has preferences that can be represented by the following utility function: U(x,y)= (18+x)(+1). Sarah's utility function is v) 6x +60 y - 4x + 2xy - 24 y +29: Do Mark and Sarah have the same preferences? You must prove your answer. U (x, y) = 6x+60 y - 4x + 2
Most questions answered within 3 hours.
-
IN PYTHON ONLY !! Program 2: Re-work
program #5 (WeeklyHours) from the previous assignment such that...
asked 11 minutes ago -
The average length of time between arrivals at a turnpike
toll-booth is 26 seconds. What is...
asked 1 hour ago -
(a) A piston at 6.1 atm contains a gas that occupies a volume of
3.5 L....
asked 3 hours ago -
Please answer true or false. Words
cannot be changed or added in to make it true...
asked 3 hours ago -
An empty test tube weighs 15.923 grams. Then,
MgCl2•6H2O is added into the test tube. After...
asked 3 hours ago -
Assume memory access is 10 units of time and disk access is
10000 units of time....
asked 3 hours ago -
1. Are all good samples random?
2. Magazines often report surveys giving statistics such as “63%...
asked 3 hours ago -
Under all the various types of market structures, firms
must eventually earn some economic profits for...
asked 3 hours ago -
Consider the following fitness regime for a single locus trait
with two co-dominant alleles: w11 =...
asked 3 hours ago -
A large cable company reports the following.
80% of its customers subscribe to its cable TV...
asked 3 hours ago -
Please answer the question in brief.
Discuss the role of ERP in organizations. Are ERP tools...
asked 3 hours ago -
Discuss the pros and cons of collaborative software such
as SameTime. Does it increase productivity? What...
asked 3 hours ago