Problem

Suppose the three friends in problem 33 decide they would like to sample each of the des...

Suppose the three friends in problem 33 decide they would like to sample each of the desserts. Bev is the divider and puts some of each dessert on each of three plates. Plate 1 contains 5 ounces of pudding, 3 ounces of cobbler, and 4 ounces of cheesecake. Plate 2 contains 2 ounces of pudding, 4 ounces of cobbler, and 6 ounces of cheesecake. Plate 3 contains 5 ounces of pudding, 5 ounces of cobbler, and 2 ounces of cheesecake.

a. Using the preference ratios given in problem 33, what point value might each woman assign to 1 ounce of each dessert? Fill in the following table with the point value that each woman would assign to each plate.

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 created the plates as indicated above, what is the result of applying the divide-and-choose method for three players?

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