Ann and Ben are getting divorced and want todetermine how to divide their joint property: retirementaccount, home, summer cottage, investments, and miscellaneous assets. To begin, Ann and Ben are told to allocate100 total points to the assets. Their allocation is as shownin Table 69.Assuming that all assets are divisible (that is, a fractionof each asset may be given to each person), how should theassets be allocated? Two criteria should govern the asset allocation:Criteria 1 Each person should end up with the same number of points. This prevents Ann from envying Ben and Benfrom envying Ann.Criteria 2 The total number of points received by Ann andBen should be maximized.If assets could not be split between people, what problemarises? TAB LE 69PointsItem Ann’s Ben’sRetirement account 50 40Home 20 30Summer cottage 15 10Investments 10 10Miscellaneous 5 10

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.3: Capital Budgeting Models
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Ann and Ben are getting divorced and want to
determine how to divide their joint property: retirement
account, home, summer cottage, investments, and miscellaneous assets. To begin, Ann and Ben are told to allocate
100 total points to the assets. Their allocation is as shown
in Table 69.
Assuming that all assets are divisible (that is, a fraction
of each asset may be given to each person), how should the
assets be allocated? Two criteria should govern the asset allocation:
Criteria 1 Each person should end up with the same number of points. This prevents Ann from envying Ben and Ben
from envying Ann.
Criteria 2 The total number of points received by Ann and
Ben should be maximized.
If assets could not be split between people, what problem
arises?

TAB LE 69
Points
Item Ann’s Ben’s
Retirement account 50 40
Home 20 30
Summer cottage 15 10
Investments 10 10
Miscellaneous 5 10

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