These items must be shared between the two sons. Write an optimization model to find a partition of these items that minimizes the difference between the values of the two parts?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...
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A rich person passes away, leaving the following legacy:

1- A Caillebotte picture: 25000$
2- A bust of Diocletian: 5000$
3- A Yuan dinasty chinese vase: 20000$
4- A 911 Porsche: 40000$
5- Three diamonds: 12000$ each
6- A Louis XV sofa: 3000$
7- Two very precious Jack Russell race dogs: 3000$ each (the will asserts that they may not be separated)
8- A sculpture dated 200 A.D.: 10000$
9- A sailing boat: 15000$
10- A Harley Davidson motorbike: 10000$
11- A piece of furniture that once belonged to Cavour: 13.000$.

These items must be shared between the two sons. Write an optimization model to find a partition of these items that minimizes the difference between the values of the two parts?

Carefully explain all of the decision variables, constraints, objective function, and an appropriate solving method that you would choose. You *do not* need to  solve your optimization model.

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ISBN:
9781337406659
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Cengage,