Jackie, Karla, and Lori are dividing the foot-long half meatball–half vegetarian sub shown in Fig. 3-30 using the lone-chooser method. Jackie likes the vegetarian and meatball parts equally well, Karla is a strict vegetarian and does not eat meat at all, and Lori likes the meatball part twice as much as she likes the vegetarian part. Suppose that Karla and Lori are the dividers and Jackie is the chooser. In the first division, Lori divides the sub into two shares (a left share
a. Describe Lori's first division into
b. Describe which share (
c. Describe how Lori would subdivide her share into three pieces
d. Based on the subdivisions in (a), (b), and (c), describe the final fair division of the sub and give the value of each player's share (as a percentage of the total value of the sub) in the eyes of the player receiving it.
Fig. 3-30
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Excursions In Modern Mathematics, 9th Edition
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