A and B bought a half-Veggie, half- Meatball sub- sandwich which was 12 inches long. The...

 

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A and B bought a half-Veggie, half- Meatball sub- sandwich which was 12 inches long. The total cost of the sandwich was $16. A likes the meatball sub three times as much as the vegetarian. B only likes Veggie. They flip a coin and ends up being the divider. (a) Show each of the values of the sandwich to each person using the ruler approach as shown in class. A's value B's value (c) Which share will B take, and what will be the value to B? Vegetarian 0 FIGURE 3-20 (d) Now repeat parts a through c - but have B be the divider and A the chooser. 2 T 4 6 Meatball I 8 I 10 (b) Describe how A will cut the sandwich into the two shares s1 and s2. Describe in terms of [0, b] - an interval which shows which inch to start with and where to end. 12 A and B bought a half-Veggie, half- Meatball sub- sandwich which was 12 inches long. The total cost of the sandwich was $16. A likes the meatball sub three times as much as the vegetarian. B only likes Veggie. They flip a coin and ends up being the divider. (a) Show each of the values of the sandwich to each person using the ruler approach as shown in class. A's value B's value (c) Which share will B take, and what will be the value to B? Vegetarian 0 FIGURE 3-20 (d) Now repeat parts a through c - but have B be the divider and A the chooser. 2 T 4 6 Meatball I 8 I 10 (b) Describe how A will cut the sandwich into the two shares s1 and s2. Describe in terms of [0, b] - an interval which shows which inch to start with and where to end. 12

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a A likes the meatball sub three times as much as the vegetarian B only likes the Veggie sub The san... View the full answer