A rich person passes away, leaving the following legacy: 1- A Caillebotte picture: S25000 2-A bust of Diocletian: $5000 3- A Yuan dynasty Chinese vase: S20000 4- A 911 Porsche: 40000s 5- Three diamonds: S12000 each 6- A Louis XV sofa: S3000 7- Two very precious Jack Russell race dogs: S3000 each (the will asserts that they may not be separated) 8- A sculpture dated 200 A.D.: S10000 9- A sailing boat: $15000 10-A Harley Davidson motorbike: S10000 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 dynasty 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: S10000
11- A piece of furniture that once belonged to Cavour: S13.000.
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.
Transcribed Image Text:A rich person passes away, leaving the following legacy: 1- A Caillebotte picture: $25000 2- A bust of Diocletian: $5000 3- A Yuan dynasty 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: S10000 11- A piece of furniture that once belonged to Cavour: S13.000. 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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