The Texas Consolidated Electronics Company is contemplating a research and devel
ID: 2655660 • Letter: T
Question
The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects ($300,000). Further, if project 2 is selected, project 5 must also be selected (but not vice versa). Following are the resources requirement and the estimated profit for each project.
expenses
$1,000
profit
(1,000,000)
Formulate the integer programming model for this problem and solve it using the computer.
Projectexpenses
$1,000
scientists requiredprofit
(1,000,000)
1 50 6 0.30 2 105 8 0.85 3 56 9 0.20 4 45 3 0.15 5 90 7 0.50 6 80 5 0.45 7 78 8 0.55 8 60 5 0.40Explanation / Answer
Project
Expense
Management
Estimated Profit
($1,000s)
Scientists Required
($1,000,000s)
1
$50
6
0.30
2
105
8
0.85
3
56
9
0.20
4
45
3
0.15
5
90
7
0.50
6
80
5
0.45
7
78
8
0.55
8
60
5
0.40
Project
Decision variables
Upper bound
xi
1
0
2
1
3
0
4
0
5
1
6
1
7
0
8
0
Total expense
275000
300000
Total No. of scientist
20
40
Total profit
$1,800,000.00
Project
Expense
Management
Estimated Profit
($1,000s)
Scientists Required
($1,000,000s)
1
$50
6
0.30
2
105
8
0.85
3
56
9
0.20
4
45
3
0.15
5
90
7
0.50
6
80
5
0.45
7
78
8
0.55
8
60
5
0.40
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