Demonstrate that the division from problem 20 is envy-free.
Problem 20:
Three friends meet for dinner at an expensive restaurant. After the meal, the management gives them a platter containing three complimentary desserts: a 12-ounce portion of pudding, a 12-ounce portion of cobbler, and a 12-ounce portion of cheesecake. Sharon values pudding to cobbler to cheesecake in a ratio of 1 to 2 to 5. Ally prefers cheesecake over either of the other two desserts for a 2-to-1-to-3 ratio. Bev’s preference ratio is 1 to 1 to 2. If Ally is the first divider, and Sharon is the first chooser, find a proportional, envy-free division of the desserts.
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