MAGNETS

!!!

1. 2 Teams – Pink vs. Green2. You will work on the problem on your own unless otherwise told.

3. Not all problems are magnet problems…look for the magnet symbol!

3. When I call out, you will magnet your answer to the board on the appropriate side…..

RULES

Dana and Tom are retiring and selling their law firm. They will split the proceeds from this sale evenly. After all is sold they have $10,000 in cash to split. Both, however, want the firm’s reserved Blackhawk’s Season tickets. Dana bids $1200 for the seats and Tom bid’s $900.

a) Who receives the seats?

b) How much cash does each receive?

#1

Dana and Tom are retiring and selling their law firm. They will split the proceeds from this sale evenly. Both, however, want the firm’s reserved Blackhawk’s Season tickets. Dana bids $1200 for the seats and Tom bid’s $900.

a) Who receives the seats? DANA

b) How much cash does each get? Tom gets $5525 in cash. Dana gets the tickets and $4475 which is a final settlement of $5675.

#1

Dana and Tom are retiring and selling their law firm. They will split the proceeds from this sale evenly. Both, however, want the firm’s reserved Blackhawk’s Season tickets. Dana bids $1200 for the seats and Tom bid’s $900.

#1 Dana Tom

Fairshare ($1200+$10,00)/2

= $$5600($900+$10,000)/

2=$5,450Items TICKETS ($1200) -----------------

Initial Cash $4400 $5,450Share of Rem $$ $75 $75

Final Settlement $5600+$75=

$5675$5450 + $75

=$5525

Give an example of a CONTINUOUS fair

division problem and a DISCRETE fair division

problem.

#2

Give an example of a CONTINUOUS( cake, cash)

fair division problem and a

DISCRETE( boat, tire, house)

fair division problem.

#2

There are 13 Lions, 11 giraffes and 26 monkeys at the

Brookfield Zoo. There are 5 boxes of bananas to be distributed amongst the

animals. If the quotas are1.3, 1.1 and 2.6 respectively, find the

INITIAL APPORTIONMENT of the boxes of bananas for these animals using the

HAMILTON METHOD.

#3

There are 13 Lions, 11 giraffes and 26 monkeys at the

Brookfield Zoo. There are 5 boxes of bananas to be

distributed amongst the animals. If the quotas are1.3, 1.1 and 2.6 respectively, find the

INITIAL APPORTIONMENT of the boxes of bananas

for these animals using the HAMILTON METHOD.

#3ANSWER:LIONS: ______________GIRAFFES:____________MONKEYS:____________

There are 37 Lemurs, 19 gorillas and 12 Polar Bears at the ST. Louis Zoo. There are 8 hula hoops

to be distributed amongst these animals. If the ideal ratio is 8.5 and the initial

apportionment using the JEFFERSON METHOD are

listed below, determine the adjusted ratios for each of the animals using the

Jefferson Adjusted Ratio Formula (J.A.R.)

#4

ANSWER BELOW:#4

There are 14 ice cream stands, 22 souvenir shops and 12 concession stands and 23 volunteer employees at the San Diego Zoo.. If the IDEAL

RATIO is 2.09 and the apportionments using the WEBSTER METHOD are as listed below, determine

the FINAL APPORTIONMENT of the volunteer workers at each location using the WEBSTER

METHOD.

#5

#5

Oscar and Felix inherit an estate consisting of a Segway, a special anniversary edition of a

Harley Davidson Fat Boy and $25,000 in cash. Their bids are

below. Determine the initial cash each receives…

#6 SEGWAY HARLEY DAVIDSONOSCAR $7,000 $23,000FELIX $9,000 $21,500

OSCAR: $27,500 - $23,000 = $4,500FELIX: $27,750 - $9,000 = $18,750

#6

Knowing that there is $25,000 in the estate and Oscar receives $4,500 in initial cash and Felix

receives $18,750 in initial cash, determine each of their FINAL

SETTLEMENTS#7

OSCAR: $27,500 - $23,000 = $4,500FELIX: $27,750 - $9,000 = $18,750

SEGWAY HARLEY DAVIDSONOSCAR $7,000 $23,000FELIX $9,000 $21,500

FAIRSHARE SHARE OF REMAININGOSCAR: $27,500 $875FELIX: $27,750 $875#7

OSCAR: $28,375

FELIX: $28,625

Mary, Nick and Opel use the following method to divide a cake. Mary cuts the cake into

two portions that she considers to be 1/3 and 2/3rds of the

cake. Nick cuts the portion that Mary considers to be 2/3rds

into 2 pieces, which he believes are equal. Opel selects the 1st

piece, Mary selects the 2nd piece and Nick receives the last piece. Which people feel by their own assessment that they received

their fair share?

#8

OPEL will feel like she got her fair share.

Mary and Nick may not.

Why?

#8

OLD STUFF#9

OLD STUFF#9