Comprehensive model formulation exercise Q1: New product development Problem A Leisure Food Company plans to develop some new products. The following table shows relevant data for six potential foods which are under considera tion. The company wants to know which projects should be selected so asto maximize total pr ofits. There are some constrains for project selection. First, the available capital is at most 170 thousand dollars, and the available researchers are no more than 35 people. Second, project 3 and project 4 are closely related, meaning that these two projects must be select ed simultaneously. Third, project 5 must be selected if project 2 or project 3 is selected. Fo urth, considering the potential risks, at most two projects could be selected among project 1, 4, and 6. Fifth, considering the future development, at least one project should be select ed among project 3, 4, and 5. Please help this company to determine the optimal combinations of new products. Table 1 Data table Capital require Researchers r Project Profit ment equirement 1 50 11 65 2 65 16 90 3 45 9. 80 4 55 7 90 40 60 90 110 24 5

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Comprehensive model formulation exercise
Q1: New product development Problem
A Leisure Food Company plans to develop some new products.
The following table shows relevant data for six potential foods which are under considera
tion.
The company wants to know which projects should be selected so asto maximize total pr
ofits. There are some constrains for project selection. First, the available capital is at most
170 thousand dollars, and the available researchers are no more than 35 people. Second,
project 3 and project 4 are closely related, meaning that these two projects must be select
ed simultaneously. Third, project 5 must be selected if project 2 or project 3 is selected. Fo
urth, considering the potential risks, at most two projects could be selected among project
1, 4, and 6. Fifth, considering the future development, at least one project should be select
ed among project 3, 4, and 5.
Please help this company to determine the optimal combinations of new products.
Table 1 Data table
Capital require Researchers r
Project
Profit
ment
equirement
1
50
11
65
2
65
16
90
3
45
9.
80
4
55
7
90
40
60
90
110
24
5
Transcribed Image Text:Comprehensive model formulation exercise Q1: New product development Problem A Leisure Food Company plans to develop some new products. The following table shows relevant data for six potential foods which are under considera tion. The company wants to know which projects should be selected so asto maximize total pr ofits. There are some constrains for project selection. First, the available capital is at most 170 thousand dollars, and the available researchers are no more than 35 people. Second, project 3 and project 4 are closely related, meaning that these two projects must be select ed simultaneously. Third, project 5 must be selected if project 2 or project 3 is selected. Fo urth, considering the potential risks, at most two projects could be selected among project 1, 4, and 6. Fifth, considering the future development, at least one project should be select ed among project 3, 4, and 5. Please help this company to determine the optimal combinations of new products. Table 1 Data table Capital require Researchers r Project Profit ment equirement 1 50 11 65 2 65 16 90 3 45 9. 80 4 55 7 90 40 60 90 110 24 5
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