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 resource requirements and the estimated profit for each project   Formulate the integer programming model for this problem and solve it by using the computer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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 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 resource requirements and the estimated profit for each project

 

Formulate the integer programming model for this problem and solve it by using the computer.

 

Estimated Profit
Expense
(S1,000s)
Management
Scientists Required
Project
($1,000,000s)
1
$ 60
7
$0.36
110
9
0.82
3
53
8
0.29
4
47
4
0.16
5
92
7
0.56
85
6
0.61
7
73
8
0.48
8
65
5
0.41
Transcribed Image Text:Estimated Profit Expense (S1,000s) Management Scientists Required Project ($1,000,000s) 1 $ 60 7 $0.36 110 9 0.82 3 53 8 0.29 4 47 4 0.16 5 92 7 0.56 85 6 0.61 7 73 8 0.48 8 65 5 0.41
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