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?
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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