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Math / Excursions in Modern Mathematics: Pearson New International Edition 8 / Chapter 3 / Problem 15

Excursions in Modern Mathematics: Pearson New International Edition | 8th Edition | ISBN: 9781292022048 | Authors: Peter Tannenbaum

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Suppose that they flip a coin and Jared ends up being the divider. (a) Describe how

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QUESTION:

Suppose that they flip a coin and Jared ends up being the divider. (a) Describe how Jared should cut the sandwich into two shares s1 and s2. (b) After Jared cuts, Karla gets to choose. Specify which of the two shares Karla should choose and give the value of the share to Karla.

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QUESTION:

Suppose that they flip a coin and Jared ends up being the divider. (a) Describe how Jared should cut the sandwich into two shares s1 and s2. (b) After Jared cuts, Karla gets to choose. Specify which of the two shares Karla should choose and give the value of the share to Karla.

ANSWER:

Step 1 of 3

We are given that

For Jackie

Let the cost per unit length of vegetarian sub be , then

Cost per unit length of meatball sub

Therefore

Cost for a portion of the vegetarian sub

Cost for a portion of the meatball sub

Total value of

For Karla

Let the cost per unit length of vegetarian sub be , then

Cost per unit length of the meatball sub

Therefore

Cost for a portion of the vegetarian sub

Cost for a portion of the meatball sub

Total value of

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