Second consulting is considering undertaking several proposed projects for the next fiscal year. The projects, the number of engineers and support personnel required for each project, and the expected profits for each project are summarized in the following table: Project 1 2 3 4 5 6 Engineers required 20 55 47 38 90 63 Support personnel required 15 45 50 40 70 70 Profit ($1,000,000s) 1.0 1.8 2.0 1.5 3.6 2.2 There are 175 engineers available and 150 support personnel available for these projects. Further, no more than 3 projects can be done. Formulate an integer program to solve this problem. Define the decision variables needed to model this problem. The objective is to maximize profit. Give the objection function. Write the constraints. What is the final answer? Explain in detail.
Second consulting is considering undertaking several proposed projects for the next fiscal year. The projects, the number of engineers and support personnel required for each project, and the expected profits for each project are summarized in the following table: Project 1 2 3 4 5 6 Engineers required 20 55 47 38 90 63 Support personnel required 15 45 50 40 70 70 Profit ($1,000,000s) 1.0 1.8 2.0 1.5 3.6 2.2 There are 175 engineers available and 150 support personnel available for these projects. Further, no more than 3 projects can be done. Formulate an integer program to solve this problem. Define the decision variables needed to model this problem. The objective is to maximize profit. Give the objection function. Write the constraints. What is the final answer? Explain in detail.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...
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Second consulting is considering undertaking several proposed projects for the next fiscal year. The projects, the number of engineers and support personnel required for each project, and the expected profits for each project are summarized in the following table:
|
Project |
|||||
|
1 |
2 |
3 |
4 |
5 |
6 |
Engineers required |
20 |
55 |
47 |
38 |
90 |
63 |
Support personnel required |
15 |
45 |
50 |
40 |
70 |
70 |
Profit ($1,000,000s) |
1.0 |
1.8 |
2.0 |
1.5 |
3.6 |
2.2 |
There are 175 engineers available and 150 support personnel available for these projects. Further, no more than 3 projects can be done. Formulate an integer program to solve this problem.
- Define the decision variables needed to model this problem.
- The objective is to maximize profit. Give the objection function.
- Write the constraints.
- What is the final answer? Explain in detail.
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