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ECN 504 Lecture Notes - Lecture 5: Indifference Curve, Weighted Arithmetic Mean, Rationality

144 views2 pages
ochremarten208
12 Oct 2016
School
Ryerson University
Department
Economics
Course
ECN 504
Professor
Haomiao Y U

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Document Summary

Rationality: the consumer can compare any two bundles. Any bundle is at least as good as itself. If a bundle is better than a second one and the second bundle is better than a third bundle then the first bundle is better than the third bundle. Convexity: if a consumer is indifferent between two bundles then any weighted average of the two bundles is at least as good as the original bundles. Some things to remember about utility maximization problem. A utility function assigns numbers to each commodity bundle in such a way that more preferred bundles are assigned higher numbers than less preferred bundles. (ranking of bundles) Preference which satisfies rationality + continuity -->utility representation. Utility function form is not unique in terms of presenting some preference. See lecture notes where we discussed monotonic transformation . The main idea is that an increasing transformation will leave the ranking of any pair of bundles unchanged.

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Related Questions

1.

Suppose all consumers are maximizing utility with convex indifference curves. All face the same prices, and are perfectly rational. According to microeconomic models, at the maximization bundle they should

A. All have the same marginal rate of substitution

B. All buy more of the least expensive good

C. All end up with the same bundle of goods

D. All have the same level of satisfaction

2.

Consider an indifference map with food on the vertical axis and shelter on the horizontal axis.

If a consumer is willing to give up 3 units of food in exchange for 1 unit of shelter and food is priced at $5 per unit and shelter at $10 per unit, then the consumer is:

A. Purchasing too much food for utility maximization

B. Purchasing too much shelter for utility maximization

C. Purchasing just the right amount of each good for utility maximization

D. Purchasing less than the budget would allow

3.

If a consumer with convex indifference curves moves along her budget line, closer and closer to the horizontal axis, as she is moving:

A. The marginal utility she gets from good Y declines.

B. The marginal utility she gets from good X declines.

C. The marginal utility she gets from good X increases.

D. The price ratio of the two goods changes.

Michael spends all of his income on coffee and donuts. A coffee costs $2.50 and a donut costs $2.00. At his current consumption level, the marginal utility for coffee is 30 utils, and the marginal utility for a donut is 60 utils. Which statement best describes what Michael needs to do to maximize his utility?

Question 1 options:

1)

buy less of both coffee and donuts.

2)

buy less coffee and more donuts.

3)

buy more coffee and less donuts.

4)

spend the same amount on coffee as he does on donuts.

Question 2

What is it called when the marginal utility derived from the last dollar spent on each good is the same across all goods and the last dollar spent uses all of the available budget for the purchase of those goods?

Question 2 options:

1)

the optimal consumption bundle.

2)

the optimal production bundle.

3)

diminishing marginal utility.

4)

optimal point.

Question 3 (1 point)

What does the economic theory of marginal utility infer?

Question 3 options:

1)

consumers naturally know which consumption choices will maximize their utility.

2)

consumers who watch market trends are better at maximizing their utility than are those who do not watch those trends.

3)

one cannot maximize utility without taking an economics class that explains utility theory.

4)

one cannot maximize utility without doing the math of calculating the ratios of marginal utility divided by price.

Question 4

Kate is addicted to chocolate and does not care how much it costs. In fact, she spends more than $20 a week on chocolate. What can be concluded about elasticity in her buying decisions?

Question 4 options:

1)

Her income elasticity of demand for chocolate is equal to one.

2)

Her income elasticity of demand for chocolate is equal to zero.

3)

Her price elasticity of demand for chocolate is equal to one.

4)

Her price elasticity of demand for chocolate is equal to zero.

Save

Question 5 (1 point)

Why does the demand for a good become relatively more elastic?

Question 5 options:

1)

substitutes for the good become more available.

2)

substitutes for the good become less available.

3)

the good becomes more of a necessity.

4)

the time allowed for adjustment is shortened.

Save

Question 6 (1 point)

Assume the price of chicken per pound is $3.49 and that Americans purchase 10 million pounds per chicken every month. If the price of chicken increases to $5.49 per pound, identify what will occur to consumer surplus?

Question 6 options:

1)

consumer surplus increases.

2)

consumer surplus decreases.

3)

consumer surplus creates incentive to save.

4)

consumer surplus creates incentive to spend.

Question 7 (1 point)

What is another name for the difference between the price that consumers are willing to pay for a good and a lower price that they may actually have to pay?

Question 7 options:

1)

profit.

2)

revenue.

3)

consumer utility.

4)

consumer surplus.

Question 8

Adam, Brian, Robert, and Sam all want to attend a football game. The admission price is $48. Adam is willing to pay $59 for the ticket. Brian is willing to pay $39. Robert is willing to pay $45, and Sam is willing to pay $55. Based on this information, who will go to the game?

Question 8 options:

1)

Adam, Brian, Robert, and Sam.

2)

Brian and Robert.

3)

Adam and Sam.

4)

Brian, Robert, and Sam.

Save

Question 9 (1 point)

Lily is willing to pay $10 for one bracelet and $5 for a second. Patty is willing to pay $12 for one bracelet and $2 for a second. If the price is currently $8 per bracelet, identify what is the total consumer surplus after Lily and Patty make their purchases?

Question 9 options:

1)

$8

2)

$6

3)

$7

4)

$5

Question 10 (1 point)

Manfred is willing to shovel one driveway for $25, a second for $30, and a third for $35. Assume that the market rate for shoveling driveways is $32. How many driveways will Manfred shovel, what will be his total revenue, and what will be his producer surplus?

Question 10 options:

1)

Manfred will shovel two driveways for a total revenue of $64 and his producer surplus will be $9.

2)

Manfred will shovel three driveways for a total revenue of $75 and his producer surplus will be $12.

3)

Manfred will shovel three driveways for a total revenue of $96 and his producer surplus will be $5.

4)

Manfred will shovel four driveways for a total revenue of $125 and his producer surplus will be $18.

Save

Question 11 (1 point)

What would the difference between the price that producers receive and the lower price at which they are willing to sell the good be called?

Question 11 options:

1)

producer shortage.

2)

producer surplus.

3)

consumer shortage.

4)

consumer surplus.

Save

Question 12 (1 point)

What will happen when there is an increase in the price of eBook downloads?

Question 12 options:

1)

It reduces the marginal utility derived from each dollar spent on eBooks.

2)

It reduces the marginal utility derived from each hardcopy book purchased.

3)

There will not be a substitution effect.

4)

There will not be a change in the number of eBooks in the set of consumption possibilities.

Save

Question 13 (1 point)

When is price elasticity of demand utilized to measure how an individual changes the quantity they demand?

Question 13 options:

1)

when supply changes.

2)

when product quality changes.

3)

when marketing changes.

4)

when price changes.

Save

Question 14 (1 point)

Assume Mary consumes only tea and pastries. A cup of tea costs 5 euros and a pastry costs 8 euros. Her weekly income is 450 euros. Mary always drinks 2 cups of tea for every pastry she consumes. What is Mary’s optimal weekly consumption bundle?

Question 14 options:

1)

25 cups of tea and 50 pastries.

2)

50 cups of tea and 25 pastries.

3)

58 cups of tea and 20 pastries.

4)

60 cups of tea and 30 pastries.

Save

Question 15 (1 point)

When is producer surplus a positive value?

Question 15 options:

1)

the price the producer is willing to charge equals the market price.

2)

there is no tax applied to the good.

3)

the price the producer is willing to charge is less than the market price.

4)

the price the producer is willing to charge is greater than the market price.

1. Suppose that the total utility from consuming one unit of good X is 54 utils, the total utility of two units of good X is 74 utils, and the total utility of three units of good X is 84 utils. The marginal utility of the third unit is

a.70.67 utils.

b.10 utils.

c.12.25 utils.

d.20 utils.

2. If income rises, the budget constraint

a. Moves outward away from the origin

b. Does not move

c. Moves inward toward the origin

d. Moves farther down the vertical axis

3. Economists assume that the goal of consumers is to maximize total utility.

true/false

4. The budget constraint cuts the horizontal axis at 12 units of good X and it cuts the vertical axis at 20 units of good Y. If the price of good X is $20 and the price of good Y is $12, then what does income equal?

a. $200

b. $240

c. $520

d. $280

e. not enough information to answer this question

5. Consumer equilibrium exists when an individual

a. can be made better off by buying more of a normal good and less of an inferior good.

b. is receiving the same total utility from each of the goods he or she purchases.

c. is receiving the same marginal utility from each of the goods he or she purchases.

d. has the same MU/P ratio for each of the goods he or she purchases.

e. none of the above

6. Suppose you are eating buffalo wings at a local happy hour. The total utils from doing so after the fourth, fifth, sixth, and seventh wings are 30, 50, 65, 72, respectively. In this situation we have __________ marginal utility, which is generally __________ in the analysis of consumer choice.

a. diminishing; not assumed

b. increasing; assumed

c. diminishing; assumed

d. increasing; not assumed

7. Which of the following best describes an interpersonal utility comparison?

a. Usually, Smith seems a lot happier than Jones.

b. Smith gets more utility from working on his computer than Jones gets from working on his computer.

c. Smith usually eats more in a day than Jones eats in a day.

d. ones likes computers produced by Dell Computer Corporation and Smith likes computers produced by Apple Computer Inc

e. Smith got less utility from eating the 30th cookie than eating the 29th cookie, and the same holds for Jones.

8. We would expect the total utility of water to be high but its marginal utility to be low. Why?

a. Because we need water to live and there is so much of it.

b. Because we need water to live and there is very little of it.

c. Because water is a fluid and we don't need fluids to live as much as we need food

d. Because water's price is low.

9.The marginal utility curve for units 6 through 8 of good Z lies below the horizontal axis. What does this imply must be true about the total utility curve for units 6 through 8 of good Z?

a. That portion of good Z’s total utility curve must also lie below the horizontal axis.

b. That portion of good Z’s total utility curve must be upward sloping.

c. That portion of good Z’s total utility curve must be horizontal.

d. That portion of good Z’s total utility curve must be downward sloping.

10. Research presented in the text shows that people are more concerned with their absolute income position in a group than their relative income position in the group.

true/false