Question
The final table in Phase I of a Linear Programming Problem is given below:
| Basic Variables | 0 0 0 0 -1   | Sol. | |
| 0 |  | 1 1 1 0 0 -1 0 -1 -1 1 | 5 | 
| -1 |  | 3 | |
| -1 0 -1 -1 0 | -3 | 
Here 1a x is the artificial variable. Does this LPP have a feasible solution? Justify your answer.
To determine if the given Linear Programming Problem (LPP) has a feasible solution, we need to examine the final table in Phase I of the Simplex Method.
In this table, we see that the artificial variable x_{a_1} has a non-zero value in the  ______ __ _________ ___ ____________ ___________ ________ _________ _____ __ ___ __________ ______.
 ______ ____________ ____________ ________ _____________ ____________ __________ ________ ________ __________ __ ____________ ________ _____________.
 ____ ___ ____ ____ __ _____ ____________ __ ________ ____ ______.
 ___ ____________ ___________ _____ ___________ ___ ____ __ _______ ____ _____________ _____ __________ ___.
 ____ ___ ___ ___________ ________ _____ _____________ _________ _________.
 ___________ ___________ ________ _____ ____________ _____________ ______ _____________ __________ _____ ____ ________ ____________ _________ ____________.
 _____________ __ ________ ____ ____ ____________.
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Discuss the important factors for motivating employees in an organization.
A department has 5 jobs to be performed and there are five employees to perform these jobs. The time (in hours) each employee will take to perform each job is given in the following matrix:
Employees
| I | II | III | IV | V | |
| A | 10 | 5 | 13 | 15 | 16 | 
| B | 3 | 9 | 18 | 13 | 6 | 
| C | 10 | 7 | 2 | 2 | 2 | 
| D | 7 | 11 | 9 | 7 | 12 | 
| E | 7 | 9 | 10 | 4 | 12 | 
How should the jobs be allocated, one per employee, so as to minimize the total man-hours?
A department has 5 jobs to be performed and there are five employees to perform these jobs. The time (in hours) each employee will take to perform each job is given in the following matrix:
An insurance company has decided to modernize and refit one of its branch offices. Some of the existing office equipments will be disposed of but the remaining will be returned to the branch on completion of the renovation work. Tenders are invited from a number of selected contractors. The contractors will be responsible for all the activities in connection with the renovation work excepting the prior removal of the old equipment and its subsequent replacement. The major elements of the project have been identified as follows along with their durations and immediately preceding element:
Formulate the dual of the LPP
Max.
Subject to  
                 
                  
Solve the following LPP by simplex method:
Max 
Subject to   3x1
                    
                     
Discuss the models of conflict process with examples
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