ECON 11A Study Guide - Quiz Guide: Marginal Revenue, Quotient Rule, Root Mean Square

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15 Oct 2018

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Solutions econ 11a: without consulting your notes or book, give the mathematical de nitions for the two bold-faced concepts below. You should use limits in both de nitions: the function f (x) is continuous at the point x = a, the function f (x) is di erentiable at the point x = a. By ddling with the limits in these two de nitions, we can emphasize the similarity as well as the di erence between these two concepts. Question: explain how you go from the rst pair of limits de ning continuity and di erentiability to the second pair: find the points of discontinuity of the function f (x) = , and use one-sided limits to describe how the function behaves near these points. x2 + 1 x2 4x + 3 x2 + 1 x2 4x + 3. The function f (x) = is continuous for all x except where the denominator of f (x) is equal to 0.

Related Questions

1. Which of the following actions reflect self-interested behavior?
(i) Warren Buffett, one of the world's wealthiest individuals, donated more than $30 billion to humanitarian causes such as AIDS and tuberculosis initiatives.
(ii) Pfizer Inc., a private pharmaceutical company, sponsored a disease-management program for Florida's Medicaid patients with chronic illnesses such as asthma, diabetes and heart disease.
(iii) You agree to babysit your 8-year-old brother instead of going to a kick-boxing class.
(iv) You agree to babysit your 8-year-old brother instead of going to a kick-boxing class only if your mother pays you $8 an hour.
A. (iv) only
B. (ii) and (iii) only
C. All of the above actions except (iii)
D. All of the above actions

2. Unlimited wants and limited resources:
A. Can be overcome through innovation
B. Can be overcome by increasing wealth
C. Are not problems faced by wealthy industrialized nations
D. Necessitate choices about the goods to services to consume

3. The production possibilities frontier can be used to demonstrate which of the following?
(i) The best tradeoffs that individuals and societies should make
(ii) The tradeoffs forced on individuals and societies because of scarcity
(iii) The wealth maximizing output combination that an individual or society should choose
A. (i), (ii) and (ii)
B. (i) only
C. (ii) only
D. (iii) only

Figure 1-1 shows the production possibility frontier for the hypothetical country, Lindenderry, which produces only two goods: corn and automobiles. Assume that Lindenderry uses all its productive resources to their maximum capacity.

Figure 1-1

4. If Lindenderry is using its productive resources to their maximum capacity, it must be producing a combination of goods given by a point such as:
A. Point U, V or W
B. Point U, X or W
C. Point V, U or T
D. Point X

5. If Lindenderry is at point U, producing 1300 tons of corn and 34 million automobiles, what is the opportunity cost of an additional 11 million automobiles?
A. 1,100 tons of corn
B. 2,200 tons of corn
C. 200 tons of corn
D. 18.2 tons of corn

6. Suppose Lindenderry is at point S, producing 700 tons of corn and 56 million automobiles. What happens if it sacrifices 11 million automobiles?
A. It moves to point T and gains 400 tons of corn
B. It moves to point T and gains 1,110 tons of corn
C. It moves to point W and gains 700 tons of corn
D. It moves to point W and loses 11 million automobiles

7. Suppose the price of a banana is $0.50, the price of a can of soda is $1.00 and the price of a power bar is $1.50. What is the opportunity cost of a banana?
A. $0.50
B. 1/2 of a power bar
C. 1/3 of a can of soda
D. 1/2 can of soda or 1/3 of a power bar

8. Which of the following statements is false?
A. Mother Teresa faced trade-offs when deciding to help lepers in India rather than some other needy group
B. When the government funds research into cancer, it is able to avoid trade-offs because public funds are used rather than private funds
C. When you volunteer to help at a soup kitchen, you face an opportunity cost of your time
D. Economics brings tradeoffs to light but does not inform us of which trade-offs society should make

9. Which the following would be likely to raise your opportunity cost of going to college full-time?
(i) You have been offered a full-time job as wardrobe assistant to Paris Hilton that pays $60,000 per year.
(ii) You have been offered a merit scholarship that pays for two years of tuition.
(iii) Your landlord increases the rent on the apartment you are currently living in and will continue to live in even if you choose to attend college full-time.
(iv) An increase in the value of your college trust fund set up by your grandfather.
A. All of the above
B. All of the above except (ii)
C. (i) only
D. (i) and (iii) only

Suppose Galesburg produces only two goods: textiles and wheat. Table 1-1 shows the combinations of the two goods that Galesburg can produce if it uses all its productive resources to their maximum capacity.

Table 1-1

10. If Galesburg is currently producing at point H, what is the opportunity cost of obtaining an additional 100 bushels of wheat?
A. 360 bales of textiles
B. 240 bales of textiles
C. 60 bales of textiles
D. 20 bales of textiles

11. Suppose Galesburg is currently producing at point K and would like to move to point J. This movement:
A. Enables it to obtain an additional 20 bales of textiles and an additional 60 bushels of wheat
B. Requires a sacrifice of 60 bushels of wheat to obtain an additional 20 bales of textiles
C. Enables Galesburg to increase textile production with no reduction in wheat production
D. Suggests that point K is an inefficient choice for Galesburg

12. Suppose Galesburg is currently producing 60 bales of textiles and 200 bushels of wheat. Which of the following statements is true?
A. It is not possible to produce more wheat without sacrificing any textiles
B. It is possible to produce more wheat without sacrificing any textiles
C. The people of Galesburg do not value wheat as highly as they value textiles
D. The price of wheat must have fallen, so producers have reduced their supply of wheat

13. Suppose the people of Galesburg want to consume 50 bales of textiles and 310 bushels of wheat. Are they able to achieve this?
A. Yes, if they are willing to pay higher prices for these products to induce suppliers to produce them
B. No, at this time Galesburg has insufficient resources to satisfy its consumers' wants
C. Yes, if they rearrange their resource use so as to increase total output
D. No, Galesburg must increase its money supply in order to do so

14. The opportunity cost of an item is:
A. The price you paid to acquire that item
B. What you could have bought if you did not purchase that item
C. What it costs to make that item
D. Higher than what you paid to obtain that item

15. The opportunity cost of an item is:
A. The value of all the alternatives that must be given up in order to engage in any economic activity
B. The average value of all the alternatives that you forego in order to engage in any economic activity
C. The highest-valued alternative that must be given up in order to engage in any economic activity
D. The lowest-valued alternative that must be given up in order to engage in any economic activity

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Can you solve them and tell me if youre sure 100% 100% 100%

Question 1 (1 point)

If two variables move together but are otherwise unrelated, we have

Question 1 options:

a fallacy of composition.

an econometric model.

a spurious correlation.

an efficiency problem.

evidence of a weak correlation but strong causation.

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Question 2 (1 point)

The Latin expression "ceteris paribus": is essential in ______.

Question 2 options:

collecting data.

identifying sunk costs.

evaluating theories.

recognizing scarcity.

developing spurious relationships.

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Question 3 (1 point)

Opportunity cost is best defined as

Question 3 options:

marginal cost minus marginal benefit.

the time spent on an economic activity.

the value of the best forgone alternative.

the monetary cost of an economic decision.

marginal cost plus marginal benefit.

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Question 4 (1 point)

A cost that cannot be recovered at the time a decision is being made is termed a(n)

Question 4 options:

marginal cost.

scarcity cost.

sunk cost.

average cost.

opportunity cost.

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Question 5 (1 point)

If the marginal costs of 1, 2, and 3 hours of talking on the phone are $50, $75, and $105, then the total costs are

Question 5 options:

$50, $150, and $315.

$50, $41.67, and $115.

$50, 125, and $230.

$50, $175, and $405.

impossible to calculate with information given.

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Question 6 (1 point)

In general, individuals should specialize in producing those goods for which they

Question 6 options:

can produce more quickly than others.

can produce less quickly than others.

have the lowest opportunity cost compared to others.

have the highest opportunity cost compared to others.

have an average opportunity cost.

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Question 7 (1 point)

The extra benefit that comes from an extra unit of activity is called the _________ of the activity.

Question 7 options:

benefit

marginal benefit

marginal cost

average benefit

reservation benefit

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Question 8 (1 point)

The marginal benefit of an activity is the

Question 8 options:

same as the total benefits of the activity.

total benefit divided by the level of the activity.

change in the activity divided by the change in benefits.

extra benefit associated with an extra unit of the activity.

total benefit divided by the change in the level of the activity.

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Question 9 (1 point)

The fundamental problem that is studied in economics is that

Question 9 options:

consumers have limited wants in the face of unlimited resources.

markets should function without government interference.

Canada is too wealthy.

consumers have unlimited wants in the face of limited resources.

there are unlimited resources.

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Question 10 (1 point)

The range of topics, or issues, that fit within the definition of economics is

Question 10 options:

limited to market activities, e.g., buying soap.

limited to individuals and firms.

extremely wide, requiring only the ideas of choice and scarcity.

limited to governments and nations.

very limited.

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Question 11 (1 point)

When economists make predictions using the framework of a given economic model, it is usually based on

Question 11 options:

personal experiences.

important relationships between particular variables.

mathematical abstractions.

political implications.

the profit-maximizing objective.

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Question 12 (1 point)

The cost of spending an evening partying instead of studying economics is

Question 12 options:

the resulting decrease in the test score in Economics.

the time spent at the party.

the score of the test.

the cost of the textbook.

university tuition.

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Question 13 (1 point)

As one progresses from a one-person economy to a large, multi-person economy, the shape of production possibilities curve changes from

Question 13 options:

downward sloping to upwards sloping.

linear to convex (bowed into the origin).

concave (bowed out from the origin) to linear.

convex (bowed into the origin) to concave (bowed out from the origin).

linear to concave (bowed out from the origin).

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Question 14 (1 point)

Which is NOT a sunk cost?

Question 14 options:

Monthly rent of $1,000 contractually specified in a one-year lease.

An insurance premium of $50 per year, paid last month.

An attorney's retainer of $50,000 per year.

A worker's wage of $15 per hour.

A non-refundable deposit for a tender.

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Question 15 (1 point)

"We should support government intervention because the market produces undesirable outcomes" is an example of

Question 15 options:

positive economics.

normative economics.

comparative economics.

negative economics.

formative economics.

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View the video transcript below and share your thoughts on the economic concepts that you believe are applicable.

Question# 1. Provide a rationale on whether or not a firm has to possess market power in order to raise prices.

How to Raise Prices Without Losing Customers

JJ RAMBERG, anchor:

With gas prices soaring and the economy tightening, you may think itâs not possible to charge your customers more. But, it turns out you can successfully raise prices without driving those customers away. Bob Prosen runs the consulting company, Prosen Center for Business. Heâs helped business leaders rapidly increase performance, productivity and profits, and heâs also author of the book, âKiss Theory Goodbye: Five Proven Ways to Get Extraordinary Results in Any Company.â Bob, welcome.

Mr. BOB PROSEN: Thank you.

RAMBERG: So, if youâre going to raise prices on your customers, one of the things you say is donât surprise them. So, how do you give them warning?

Mr. PROSEN: Well, our customers are very important to us, lets not surprise them. Letâs let them know in advance that prices will increase. But, itâs important to explain to them in their language as to why prices are increasing. For instance, if its fuel surcharges, theyâll understand that. But its important we put it in their language so that they, in turn, can pass that along and plan for it in their own business.

RAMBERG: So, a lot of times when people are paying more, they expect to get more. So, you should communicate increased value I assume. But is saying, um--gas prices are going up for me, is that uh--the same as saying, youâre going to get more for your money?

Mr. PROSEN: No, definitely itâs not. In fact, the equation for value is benefits plus price. So, if prices are going to go up we have to have increased benefits for our customers. So, we can do things like under promise and over deliver. Give them a little bit more. Understand their customerâs customer. So that when we provide our services to them, theyâre customized for our customers. They see more value, we understand their business, and therefore theyâll be more appreciative of what we do and less sensitive to price increases.

RAMBERG: That seems to--to follow into your next point, or go right into your next point, which is, track the quality of your products.

Mr. PROSEN: This is absolutely critical, and we can track the quality of our products many ways. Customers call us, complaints, warranty, rework. If weâll deal with that, capture that, and inside of âKiss Theory Goodbyeâ I teach business people how to reduce these problem occurrences and increase the quality of their product. You do it for two reasons: One, customers like us a lot more when things work the way theyâre supposed to; and our cost structure goes down therefore maybe we donât have to increase our prices as much and we can be more competitive.

RAMBERG: And then, also, relationships matter.

Mr. PROSEN: Oh thisâ¦

RAMBERG: So, if you have a good relationship, you can do more within that relationship.

Mr. PROSEN: Oh, definitely. People like to do business with people they like. So, lets make sure we stay in touch with our clients. Customize what we touch them with. You know, for instance, when I travel and I deal with business people, I always carry thank you notes in my briefcase. When Iâm finished, I send them a note. Itâs a rarity these days to even get a thank you note.

RAMBERG: Yeah, it absolutely is. So, about how much can you raise prices by? Can you suddenly figure out that your costs are gone up so much because of energy prices, or food prices, or gas prices, whatever it is, um--and raise it by 50%? Should you do it incrementally? Should you do it all at once? How does it work?

Mr. PROSEN: Yeah, thatâs a great question. It depends on what industry youâre in. It depends on what you customers are doing. It depends on a number of things that determine how much, and when, and the frequency of our ability to raise prices. Therefore, what I always recommend to business leaders is work on your cost structure; make sure youâre efficient and effective. Keep your costs as low as you can. Therefore, you can be more competitive on your pricing. Sometimes, you have to pass along the price. Other times, try to absorb what you can through improved efficiencies.

RAMBERG: Should you be looking at your competitors and how much theyâre charging?

Mr. PROSEN: Yes, you should absolutely be looking at your competitors. We always want to know what theyâre charging. And by the way, we want to differentiate our products and services from our competitors. And, if we can prove a higher value by dealing with us versus our competitor we should be able to articulate that, and we do it based on facts because we know whatâs going on in the industry.

RAMBERG: Alright, Bob I know a lot of people are thinking about raising prices so thanks for giving them some tips on how to actually do it.

Mr. PROSEN: My pleasure.

ECON 11A Study Guide - Quiz Guide: Marginal Revenue, Quotient Rule, Root Mean Square

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