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Globex Investment Capital Corporation: Integer programming

Globex Investment Capital Corporation owns six companies that have the following estimated returns (in millions of dollars) if sold in 1 of the next 3 years:
Year Sold (estimated return, $1,000,000s)
Company
1
2
3
1
$14
$18
$23
2
9
11
15
3
18
23
27
4
16
21
25
5
12
16
22
6
21
23
28

To generate operating funds, the company must sell at least $20 million worth of assets in year 1, $25 million in year 2, and $35 million in year 3. Globex wants to develop a plan for selling these companies during the next 3 years to maximize return.
Formulate a binary programming model for this problem and solve it by using the computer.

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This posting contains formulation and solution to this binary integer programming problem.

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