ECON 3210 Chapter Notes -Marginal Distribution, Econometrics, X 2000

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9 Feb 2013

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X is a random variable because attendance is not known prior to the outdoor concert. Before the concert, attendance is uncertain because the weather is uncertain. (b) expected attendance is given by. E x (cid:32) (cid:166) x x f x ( ) 500 0. 2 1000 0. 6 2000 0. 2 1100 (cid:32) (cid:117) (cid:117) (cid:14) (cid:14) (cid:117) (cid:32) (c) E x (cid:32) (d) the variance of profit is given by. ) 2000 5 1100 2000 3500 (cid:16) (cid:32) (cid:117) (cid:16) (cid:32) var( ) var(5 (cid:32) E x (cid:32) (cid:166) x x f x (cid:32) (cid:16) 10 0. 18 0 0. 3 10 0. 52 3. 4 (cid:14) (cid:117) (cid:117) (cid:14) (cid:117) (cid:32) You should take the bet because the expected value of your winnings is positive. (c) The probability distribution of your winnings if you know she did not study is (cid:11) f x y (cid:32) (cid:12) It is given in the following table f x ( ,1) f (1) for x (cid:32) (cid:16)

Related Questions

13. If the price of X is set at $24.00 per unit, the number of units of X purchased by this consumer each month will be: A) 1 B) 2 C) 3 D) 4 E) 5 F) 6 G) 7 H)8 1) 9 J) 10 K) 12 L) 14 M) 16 N) 18 0) 20 P) 22 Q) 24 R) 26 S) 28 T) 30 U) 36 V) 40 W) 44 X) 52 Y) 56 Z) none of the above

(Please show as much work as possible)

1. You are bidding in a second-price auction for a painting that you value at $800. You estimate that other bidders are most likely to value the painting at between $200 and $600. Which of these is likely to be your best bid?

a. $1,000

b. $800

c. $600

d. $400

2. Which of the following is true about different ways of conducting a private-value auction?

a. A first-price auction is strategically equivalent to a second-price auction.

b. A first-price auction is strategically equivalent to an English auction.

c. A second-price auction is strategically equivalent to an English auction.

d. None of the above

3. Suppose that five bidders with values of $500, $400, $300, $200, and $100 attend an oral auction. Which of these is closest to the winning price?

a. $500

b. $400

c. $300

d. $200

4. In the above auction, if the bidders with the first- and third-highest values ($500 and

$300) collude, which of these is closest to the winning price?

a. $500

b. $400

c. $300

d. $200

5. If a seller is concerned about collusion among bidders, which of the following changes to the auction, should the seller make?

a. Hold frequent, small auctions instead of infrequent large auctions.

b. Conceal the amount of winning bids.

c. Publically announce the name of each auction's winner.

d. Hold a second-price instead of a first-price auction.

6. You're holding an auction to license a new technology that your company has developed. One of your assistants raises a concern that bidders' fear of the winner's curse may encourage them to shade their bids. How might you address this concern?

a. Release your analyst's positive scenario for the technology's future profitability.

b. Release your analyst's negative scenario for the technology's future profitability.

c. Use an oral auction.

d. All of the above

7. In a first-price auction, you bid ________ your value, and in a second-price auction you bid _________ your value.

a. at; above

b. below; above

c. below; at

d. below; below

8. You hold an auction among three bidders. You estimate that each bidder has a value of either $16 or $20 for the item, and you attach probabilities to each value of 50%. What is the expected price? If two of the three bidders collude, what is the price?

9. In Sweden, firms that fail to meet their debt obligations are immediately auctioned off to the highest bidder. (There is no reorganization through Chapter 11 bankruptcy.) The current managers are often high bidders for the company. Why?

10. When a famous painting becomes available for sale, it is often known which museum or collector will be the likely winner. Yet, representatives of other museums that have no chance of winning are actively wooed by the auctioneer to attend anyway. Why?

11. The deities Mars and Venus often do battle to create the weather conditions on Earth. Venus prefers extreme temperatures (especially heat), while Mars prefers temperate conditions. The payoffs (expressed in Points of Wrath) are given below.

		Venus
		Warm	Chill
Mars	Warm	20 , 0	0 , 10
Chill	0 , 90	20 , 0

What is the unique mixed-strategy equilibrium of the above game?

(Let p be the probability of "Warm" for Mars, and q the probability of "Warm" for Venus.)

a) p=9/10, q=1/2

b) p=1/2, q=1/10

c) p=1/2, q=1/2

d) p=1/10, q=1/10

Player 2

		H	D
Player 1	H	0 , 0	4 , 1
D	1 , 4	2 , 2

12. The above game is the title of the hawk-dove game and used by evolutionary biologists to describe evolutionary processes. It is also used to model how a business should grow. In the above game, what is the Nash equilibrium in pure strategies and mixed strategies.?

Assume the cost of producing the goods is zero and that each consumer will purchase each good as long as the price is less than or equal to value. Consumer values are the entries in the table.

	Good 1	Good 2
Consumer A	$2,300	$1,700
Consumer B	$2,800	$1,200

13. Suppose the monopolist only sold the goods separately. What price will the monopolist charge for good 1 to maximize revenues for good 1?

a. $2,300

b. $2,800

c. $1,200

d. $1,700

14. What is the total profit to the monopolist from selling the goods separately?

a. $4,500

b. $6,300

c. $7,000

d. $6,000

15. What is a better pricing strategy for the monopolist? At this price, what are the total profits to the monopolist?

a. Bundle the goods at $2,800; Profits = $5,600

b. Bundle the goods at $4,000; Profits = $8,000

c. Charge $2,800 for good 1 and charge $1,700 for good 2; Profits = $4,500

d. Charging the lowest price for each good individually is the best pricing strategy; Profits = $7,000

16. The prisoners' dilemma is an example of

a. a sequential game.

b. a simultaneous game.

c.a shirking game.

d. a dating game

17. Nash equilibrium

a. is where one player maximizes his payoff, and the other doesn't.

b. is where each player maximizes his own payoff given the action of the other player.

c.is where both players are maximizing their total payoff.

d. is a unique prediction of the likely outcome of a game.

viridianlocust640

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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ECON 3210 Chapter Notes -Marginal Distribution, Econometrics, X 2000

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