1. 2 Teams – Pink vs. Green 2. 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…..

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?

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.

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. DanaTom Fairshare ($1200+$10,00)/2 = $$5600 ($900+$10,000)/2 =$5,450 Items TICKETS ($1200) Initial Cash $4400$5,450 Share of Rem $$$75 Final Settlement$5600+$75= $5675 $ $75 =$5525

Give an example of a CONTINUOUS fair division problem and a DISCRETE fair division problem.

Give an example of a CONTINUOUS ( cake, cash) fair division problem and a DISCRETE ( boat, tire, house) fair division problem.

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.

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. ANSWER: 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.)

ANSWER BELOW:

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.

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… SEGWAY HARLEY DAVIDSON OSCAR $7,000 $23,000 FELIX $9,000 $21,500

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

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 OSCAR: $27,500 - $23,000 = $4,500 FELIX: $27,750 - $9,000 = $18,750 SEGWAY HARLEY DAVIDSON OSCAR $7,000 $23,000 FELIX $9,000 $21,500

FAIRSHARE SHARE OF REMAINING OSCAR: $27,500 $875 FELIX: $27,750 $875 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 1 st piece, Mary selects the 2 nd piece and Nick receives the last piece. Which people feel by their own assessment that they received their fair share?

OPEL will feel like she got her fair share. Mary and Nick may not. Why?

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