Honors Discrete Chapter 3 Review:



Honors Discrete Chapter 3 Review:

Find the Value Fractions for the following people:

1. Geoff likes chocolate ice cream twice as much as vanilla.

2. Joy likes peanut butter 3 times as much as she likes jelly, but she likes jam twice as much as jelly.

3. Georgia likes pound cake 4 times as much as she likes angel food cake, and likes carrot cake twice as much as angel food cake.

4. Michael likes mocha 3 times as much as tea, and likes iced coffee twice as much as mocha.

Calculate the value of the following shares to each person:

1. Greg likes red velvet cake 3 times as much as cookie cake.

Piece #1: 900 Red Velvet and 700 cookie

Piece #2: 1100 Cookie and 300 Red Velvet.

Piece #3: 600 Red Velvet

2. Jessica likes both Mint Chocolate Chip and Cookies and Cream ice cream twice as much as vanilla and hates strawberry. Quinten likes strawberry twice as much as all other flavors.

Piece #1: 900 Vanilla and 450 Mint Chocolate Chip

Piece #2: 450 Mint Chocolate Chip and 600 Strawberry

Piece #3: 300 Strawberry and 900 Cookies and Cream

3.3 LONE-DIVIDER METHOD: Use extra paper as needed.

|#1 |S1 |S2 |S3 |

|P1 |30% |40% |30% |

|P2 |331/3% |331/3% |331/3% |

|P3 |50% |15% |35% |

A. Who is the divider?

B. What is the bid list of each player?

C. What is the fair division of the shares?

|#2 |S1 |S2 |S3 |S4 |

|P1 |45% |35% |10% |10% |

|P2 |25% |20% |20% |35% |

|P3 |0% |50% |40% |10% |

|P4 |25% |25% |25% |25% |

A. Who is the divider?

B. What is the bid list of each player?

C. What is the fair division of the shares?

|#3 |S1 |S2 |S3 |S4 |S5 |

|P1 |10% |40% |7% |35% |8% |

|P2 |25% |10% |35% |15% |15% |

|P3 |20% |20% |20% |20% |20% |

|P4 |30% |15% |22% |13% |20% |

|P5 |5% |30% |15% |35% |15% |

A. Who is the divider?

B. What is the bid list of each player?

C. What is the fair division of the shares?

3.7 Method of Markers: Marks will be given

A B C D A B B A B C C D D B D

1) List the fair share of the items for each player.

2) Which player will receive what share?

3) What is the leftover?

Perform the 3.6 Method of Sealed Bids: No table will be provided.

| |P1 |P2 |P3 |P4 |

|House |250,000 |300,000 |350,000 |400,000 |

|Car |120,000 |115,000 |115,000 |110,000 |

|Boat |280,000 |270,000 |295,000 |275,000 |

|Painting |25,000 |35,000 |30,000 |25,000 |

|Cabin |115,000 |113,000 |117,000 |116,000 |

Chapter 3 Fair Division Practice Multiple Choice

For Questions #1 – 3: Three players agree to split jolly ranchers using the method of markers. The marks for the 3 players are shown below.

A C C W A A G W G B A B W C B

1) According to player one which of the following isn’t a fair amount of jolly ranchers?

A) ACCWA B) ACCW C) AGWGB D) ABWCB E) All

2) Which of following is the correct allocation of jolly ranchers?

A) P1 = 1st Segment, P2 = 2nd Segment, P3 = 3rd Segment

B) P1 = 3rd Segment, P2 = 2nd Segment, P3 = 1st Segment

C) P1 = 3rd Segment, P2 = 1st Segment, P3 = 2nd Segment

D) P1 = 2nd Segment, P2 = 1st Segment, P3 = 3rd Segment

E) None of the Above

3) Which of the following is the leftover for the method?

A) A B) A, A C) W, G D) B, W, C, B E) No Leftovers

Use the following to answer questions #4 - #8: Method of Sealed Bids.

| |Player A |Player B |Player C |

|Item #1 |1380 |1200 |1000 |

|Item #2 |720 |500 |725 |

|Item #3 |900 |1000 |750 |

4) Who will receive the Item #1?

a) A b) B c) C d) All players e) No one.

5) What is the fair dollar share for Player B?

a) 1200 b) 825 c) 900 d) 1000 e) 2700

6) In the first settlement, how much money will Player C get?

a) 725 b) 2475 c) 825 d) 100 e) None of the above

7) What is the total surplus?

a) 100 b) 126.66 c) 380 d) 480 e) None of the above

8) Which of the following describes Player A’s final settlement?

a) Item #1 and Item #2, Pay 380 and Get 126.66

b) Item #2, Get 280, Get 126.66

c) Item #1, Pay 380 and Get 126.66

d) Item #3, Get 100 and Get 126.66

e) None of the above

Chapter 3 Fair Division Practice Multiple Choice

For Questions #1 – 3: Three players agree to split jolly ranchers using the method of markers. The marks for the 3 players are shown below.

A C C W A A G W G B A B W C B

1) According to player one which of the following isn’t a fair amount of jolly ranchers?

A) ACCWA B) ACCW C) AGWGB D) ABWCB E) All

2) Which of following is the correct allocation of jolly ranchers?

A) P1 = 1st Segment, P2 = 2nd Segment, P3 = 3rd Segment

B) P1 = 3rd Segment, P2 = 2nd Segment, P3 = 1st Segment

C) P1 = 3rd Segment, P2 = 1st Segment, P3 = 2nd Segment

D) P1 = 2nd Segment, P2 = 1st Segment, P3 = 3rd Segment

E) None of the Above

3) Which of the following is the leftover for the method?

A) A B) A, A C) W, G D) B, W, C, B E) No Leftovers

Use the following to answer questions #4 - #8: Method of Sealed Bids.

| |Player A |Player B |Player C |

|Item #1 |1380 |1200 |1000 |

|Item #2 |720 |500 |725 |

|Item #3 |900 |1000 |750 |

4) Who will receive the Item #1?

a) A b) B c) C d) All players e) No one.

5) What is the fair dollar share for Player B?

a) 1200 b) 825 c) 900 d) 1000 e) 2700

6) In the first settlement, how much money will Player C get?

a) 725 b) 2475 c) 825 d) 100 e) None of the above

7) What is the total surplus?

a) 100 b) 126.66 c) 380 d) 480 e) None of the above

8) Which of the following describes Player A’s final settlement?

a) Item #1 and Item #2, Pay 380 and Get 126.66

b) Item #2, Get 280, Get 126.66

c) Item #1, Pay 380 and Get 126.66

d) Item #3, Get 100 and Get 126.66

e) None of the above

-----------------------

900

600

300

1100

700

Red Velvet

Cookie

Player 2

Player 2

Player 3

Player 3

Player 1

Player 1

Mint Chocolate Chip

Strawberry

Vanilla

Cookies and Cream

P’”2

P’”3

P”4

P”2

P’1

P’2

P’3

P’4

P”1

P”3

P”’1

P”’4

Player 1

Player 1

Player 3

Player 3

Player 2

Player 2

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download