Question

Mary makes the following choices of X1 and X2 when prices and income are as follows:...

Mary makes the following choices of X1 and X2 when prices and income are as follows:

                   X1    X2     P1   P2      I

Week 1     10     20      2      1      40

Week 2      12     8      2       2     40

Week 3      20    10      2       2     60

Based on this information we can conclude that

Mary considers both goods to be normal goods

Mary considers both goods to be inferior goods

X1 is a normal good and X2 is an inferior good for Mary

X1 is an inferior good and X2 is a normal for Mary

Homework Answers

Answer #1

Here both the goods X and Y are normal goods because of the following reasons:

i) income has direct relation with quantities demanded:

We observed that as income increases from 40 to 60 while price of both the goods remain constant, quantity demanded of both the goods increases. Thus income effect is positive and goods are normal.

ii) Inverse relation with the prices:

As price of X2 rises from 1 to 2 quantity demanded of good 2 falls from 20 to 8. This shows price elasticity of own good is negative and goods are normal.

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
A consumer’s preferences over two goods (x1,x2) are represented by the utility function ux1,x2=5x1+2x2. The income...
A consumer’s preferences over two goods (x1,x2) are represented by the utility function ux1,x2=5x1+2x2. The income he allocates for the consumption of these two goods is m. The prices of the two goods are p1 and p2, respectively. Determine the monotonicity and convexity of these preferences and briefly define what they mean. Interpret the marginal rate of substitution (MRS(x1,x2)) between the two goods for this consumer.   For any p1, p2, and m, calculate the Marshallian demand functions of x1 and...
Modou has a utility function U(X1,X2) = 2X1 + X2 The prices of X1 & X2...
Modou has a utility function U(X1,X2) = 2X1 + X2 The prices of X1 & X2 are $1 each and Modou has an income of $20 budgeted for this two goods. Draw the demand curve for X1 as a function of p1. At a price of p1 = $1, how much X1 and X2 does Modou consume? A per unit tax of $0.60 is placed on X1. How much of good X1 will he consume now? Suppose the government decides...
1) Suppose there are 2 goods, x1 and x2. The price of x1 goes up. x1...
1) Suppose there are 2 goods, x1 and x2. The price of x1 goes up. x1 is inferior, and x2 is normal. Using income and substitution effects, show which of the claims below is correct. the quantity of both goods will go down x1 will decrease in quantity, but x2 will go up the quantity of both goods will go up x1 may increase or decrease in quantity, the same is true for x2 2) Suppose there are 2 goods,...
Change the Humphrey and Lauren example such that Lauren’s utility function is uL(x1,x2) = min{x1, x2}...
Change the Humphrey and Lauren example such that Lauren’s utility function is uL(x1,x2) = min{x1, x2} and Humphrey’s utility function is uH (x1, x2) = 2√x1 + √x2. Their endowments are eL = (4,16) and eH = (2,24). 1)Suppose Humphrey and Lauren are to simply just consume their given endowments. State the definition of Pareto efficiency. Is this a Pareto efficient allocation? As part of answering this question, can you find an alternative allocation of the goods that Pareto dominates...
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...
Bilbo can consume two goods, good 1 and good 2 where X1 and X2 denote the...
Bilbo can consume two goods, good 1 and good 2 where X1 and X2 denote the quantity consumed of each good. These goods sell at prices P1 and P2, respectively. Bilbo’s preferences are represented by the following utility function: U(X1, X2) = 3x1X2. Bilbo has an income of m. a) Derive Bilbo’s Marshallian demand functions for the two goods. b) Given your answer in a), are the two goods normal goods? Explain why and show this mathematically. c) Calculate Bilbo’s...
Determine the optimal quantities of both x1 and x2 for each utility function. The price of...
Determine the optimal quantities of both x1 and x2 for each utility function. The price of good 1 (p1) is $2. The price of good 2 (p2) is $1. Income (m) is $10. a.) U(x1,x2) = min{2x1, 7x2} b.) U(x1,x2) = 9x1+4x2 c.) U(x1,x2) = 2x11/2 x21/3 Please show all your work.
Consider utility function u(x1,x2) =1/4x12 +1/9x22. Suppose the prices of good 1 and good 2 are...
Consider utility function u(x1,x2) =1/4x12 +1/9x22. Suppose the prices of good 1 and good 2 are p1 andp2, and income is m. Do bundles (2, 9) and (4, radical54) lie on the same indifference curve? Evaluate the marginal rate of substitution at (x1,x2) = (8, 9). Does this utility function represent convexpreferences? Would bundle (x1,x2) satisfying (1) MU1/MU2 =p1/p2 and (2) p1x1 + p2x2 =m be an optimal choice? (hint: what does an indifference curve look like?)
1.) Liz has utility given by u(x2,x1)=x1^7x2^8. If P1=$10, P2=$20, and I = $150, find Liz’s...
1.) Liz has utility given by u(x2,x1)=x1^7x2^8. If P1=$10, P2=$20, and I = $150, find Liz’s optimal consumption of good 1. (Hint: you can use the 5 step method or one of the demand functions derived in class to find the answer). 2.) Using the information from question 1, find Liz’s optimal consumption of good 2 3.) Lyndsay has utility given by u(x2,x1)=min{x1/3,x2/7}. If P1=$1, P2=$1, and I=$10, find Lyndsay’s optimal consumption of good 1. (Hint: this is Leontief utility)....
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT