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Math / Excursions in Modern Mathematics: Pearson New International Edition 8 / Chapter 3 / Problem 18

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 Nick ends up being the divider. (a) Describe how Nick

Chapter 3, Problem 18

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QUESTION:

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

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QUESTION:

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

ANSWER:

Step 1 of 3

For Martha

Let the cost per unit length of Turkey be , then

Cost per unit length of Roast Beef

Cost per unit length of Ham

Therefore

Cost for the portion of Ham

Cost for the portion of Turkey

Cost for the portion of Roast Beef

The total value of sub

For Nick

Let the cost per unit length of Ham be , then

Cost per unit length of Roast Beef

Cost per unit length of Turkey

Therefore

Cost for the portion of Ham

Cost for the portion of Turkey

Cost for the portion of Roast Beef

Total value of

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