Operations Research and ReliabilityLPP Computational Methods (ISS (Statistical Services) Statistics Paper IV): Questions 1  1 of 1
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Question number: 1
» Operations Research and Reliability » LPP Computational Methods
Appeared in Year: 2015
Describe in Detail
Solve the following problem Simplex method.
Maximize Z = 8x_{1}+6x_{2}
Subject to
x_{1}+x_{2 } ≤ 10
2x_{1}+3x_{2} ≤ 25
x_{1}+5x_{2} ≤ 35
x_{1}, x_{2} ≥ 0
Explanation
The Simplex algorithm is an iterative procedure for solving LP problems in a finite number of steps. It consists of

Having a trial basic feasible solution to constraintequations

Testing whether it is an optimal solution

Improving the first trial solution by a set of rules and repeating the process till an optimal
solution is obtained
Si
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