Three friends meet for dinner at an expensive restaurant. After the meal, the management...

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 3. Ally prefers cheesecake to either of the other two desserts by a ratio of 1 to 1 to 3. Bev likes all the desserts equally well, for a 1-to-1-to-1 ratio.

a. What point value might each woman assign to 1 ounce of each dessert? Fill in the following table with the point values that each woman would place on each dessert.

b. What total value would Sharon place on all the desserts? Determine a fair share based on her values.

c. What total value would Ally place on all the desserts? Determine a fair share based on her values.

d. What total value would Bev place on all the desserts? Determine a fair share based on her values.

e. If Bev is the divider and decides not to subdivide the desserts, but leaves the three desserts intact on the three plates, then what is the result of applying the divide-and-choose method for three players?