Question

10. Goods x​1​ and x​2​ are ​gross complements,​ a. Only if u(x​1,​ x​2)​ = min{x​1,​ x​2}​...

10. Goods x​1​ and x​2​ are ​gross complements,​
a. Only if u(x​1,​ x​2)​ = min{x​1,​ x​2}​
b. If the derivative of the demand of x​1​ with respect to p​2​ is positive.

c. If the derivative of the demand of x​1​ with respect to p2​ ​is negative.

d. If the derivative of the demand of x​1​ with respect to p​1​ is positive. e. If the derivative of the demand of x​1​ with respect to p1​ ​is negative.

Homework Answers

Answer #1

10.

Since complements goods are those goods which are used together and there is no utility or value of single goods.

It means when there are different number of two goods, then the good will be used only equal to the minimum of the two goods because these goods can be used together only.

Hence if Goods x​1​ and x​2​ are ​gross complements,​
These can be expressed in the form of

  u(x​1,​ x​2)​ = min{x​1,​ x​2}​

X1=X2

Hence option a is the correct answer.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given a utility function for perfect complements: U(x1,x2) = min{x1,βx2}, where β is a positive num-...
Given a utility function for perfect complements: U(x1,x2) = min{x1,βx2}, where β is a positive num- ber, and a budget constraint: p1x1 + p2x2 = Y , where p1 and p2 are prices of good 1 and good 2 respectively, Y is the budget for the complements. Find the demand functions for good 1 and good 2.
PROVIDE EXPLANATION - Kinko’s utility function is U(x, y) = min{2x, 6y}, where x is whips...
PROVIDE EXPLANATION - Kinko’s utility function is U(x, y) = min{2x, 6y}, where x is whips and y is leather jackets. If the price of whips were $20 and the price of leather jackets were $20, Kinko would demand a. 3 times as many whips as leather jackets. b. 4 times as many leather jackets as whips. c. 2 times as many leather jackets as whips. d. 5 times as many whips as leather jackets. e. only leather jackets. -...
There are two goods, Good 1 and Good 2, with positive prices p1 and p2. A...
There are two goods, Good 1 and Good 2, with positive prices p1 and p2. A consumer has the utility function U(x1, x2) = min{2x1, 5x2}, where “min” is the minimum function, and x1 and x2 are the amounts she consumes of Good 1 and Good 2. Her income is M > 0. (a) What condition must be true of x1 and x2, in any utility-maximising bundle the consumer chooses? Your answer should be an equation involving (at least) these...
There are two goods, Good 1 and Good 2, with positive prices p1 and p2. A...
There are two goods, Good 1 and Good 2, with positive prices p1 and p2. A consumer has the utility function U(x1, x2) = min{2x1, 5x2}, where “min” is the minimum function, and x1 and x2 are the amounts she consumes of Good 1 and Good 2. Her income is M > 0. (a) What condition must be true of x1 and x2, in any utility-maximising bundle the consumer chooses? Your answer should be an equation involving (at least) these...
a) U = xy b) U = (xy)^1/3 c) U = min(x,y/2) d) U = 2x...
a) U = xy b) U = (xy)^1/3 c) U = min(x,y/2) d) U = 2x + 3y e) U = x^2 y^2 + xy 2. All homogeneous utility functions are homothetic. Are any of the above functions homothetic but not homogeneous? Show your work.
For a Cobb-Douglas utility functionu(X, Y) =13ln (X) +23ln (Y),XandYare(a)gross complements(b)gross substitutes(c)neither gross complements nor gross...
For a Cobb-Douglas utility functionu(X, Y) =13ln (X) +23ln (Y),XandYare(a)gross complements(b)gross substitutes(c)neither gross complements nor gross substitutes(d)cannot say without further information
Graph the following indifference curves for the given utility levels: U (x, y) = min {...
Graph the following indifference curves for the given utility levels: U (x, y) = min { 1/5 X, Y} for U = 5, 10, 15, 20, 25 and 30. What kind of relationship exists between these goods? Substitutes? Complements?
1. Consider the general form of the utility for goods that are perfect complements. a) Why...
1. Consider the general form of the utility for goods that are perfect complements. a) Why won’t our equations for finding an interior solution to the consumer’s problem work for this kind of utility? Draw(but do not submit) a picture and explain why (4, 16) is the utility maximizing point if the utility is U(x, y) = min(2x, y/2), the income is $52, the price of x is $5 and the price of y is $2. From this picture and...
Consider a consumer with the utility function U(x, y) =2 min(3x, 5y), that is, the two...
Consider a consumer with the utility function U(x, y) =2 min(3x, 5y), that is, the two goods are perfect complements in the ratio 3:5. The prices of the two goods are Px = $5 and Py = $10, and the consumer’s income is $330. At the optimal basket, the consumer buys _____ units of y. The utility she gets at the optimal basket is _____ At the basket (20, 15), the MRSx,y = _____.
Consider the utility function U(x1,x2) = ln(x1) +x2. Demand for good 1 is: •x∗1=p2p1 if m≥p2...
Consider the utility function U(x1,x2) = ln(x1) +x2. Demand for good 1 is: •x∗1=p2p1 if m≥p2 •x∗1=mp1 if m < p2 Demand for good 2 is: •x∗2=mp2−1 if m≥p2 •x∗2= 0 if m < p2 (a) Is good 1 Ordinary or Giffen? Draw the demand curve and solve for the inverse demand curve. (b) Is good 2 Ordinary or Giffen? Draw the demand curve and solve for the inverse demand curve. (c) Is good 1 Normal or Inferior? Derive and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT