A multinational corporation is considering the investment opportunities shown in the table below. The Board of Directors has specified the following: (i) (ii) (iii) One of the two South American investment must be accepted At least two of the European investment must be accepted No more than one investment in Africa can be accepted Furthermore, the corporation has only $40 million available to finance the investments. Formulate the problem as an integer-programming problem. Investment 1 2 3 +50 4 5 6 7 8 Location South America South America Europe Europe Europe Africa Africa Africa Cost (in millions) $16 12 10 ∞ ∞ 8 8 4 6 16 Expected profit (in millions) 2.0 1.4 $1.0 0.9 0.9 0.2 0.5 2.1

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A multinational corporation is considering the investment opportunities shown in the table below. The
Board of Directors has specified the following:
One of the two South American investment must be accepted
At least two of the European investment must be accepted
No more than one investment in Africa can be accepted
Furthermore, the corporation has only $40 million available to finance the investments. Formulate the
problem as an integer-programming problem.
(i)
(ii)
(iii)
Investment
1
2
3
4
5
6
7
8
Location
South America
South America
Europe
Europe
Europe
Africa
Africa
Africa
Cost
(in millions)
$16
12
10
8
8
4
6
16
Expected profit
(in millions)
2.0
1.4
$1.0
0.9
0.9
0.2
0.5
2.1
Transcribed Image Text:A multinational corporation is considering the investment opportunities shown in the table below. The Board of Directors has specified the following: One of the two South American investment must be accepted At least two of the European investment must be accepted No more than one investment in Africa can be accepted Furthermore, the corporation has only $40 million available to finance the investments. Formulate the problem as an integer-programming problem. (i) (ii) (iii) Investment 1 2 3 4 5 6 7 8 Location South America South America Europe Europe Europe Africa Africa Africa Cost (in millions) $16 12 10 8 8 4 6 16 Expected profit (in millions) 2.0 1.4 $1.0 0.9 0.9 0.2 0.5 2.1
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