(i) Give the initial starting tableau for the 2-phase simplex algorithm for this program.

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Consider the following program, in which a, b, and c are the last 3 digits of your
student ID number (for example, if you student ID is 170123456, then you should
substitute 4 for a, 5 for b, and 6 for c in the program):
maximise
axı + 3x2 + x3
subject to
-bx1 – x2 + 2x3 > 6
-x2 + x3 = 1
- cx1 + 2x2 – 2x3 < 4
X1, X2, x3 > 0
(i) Give the initial starting tableau for the 2-phase simplex algorithm for this
program.
(ii) Carry out the 2-phase simplex algorithm on this problem. You should give
an optimal solution to the program or say why an optimal solution does not
exist. Show your work and explain how you determined if the program is
feasible or not at the end of the first phase.
Transcribed Image Text:Consider the following program, in which a, b, and c are the last 3 digits of your student ID number (for example, if you student ID is 170123456, then you should substitute 4 for a, 5 for b, and 6 for c in the program): maximise axı + 3x2 + x3 subject to -bx1 – x2 + 2x3 > 6 -x2 + x3 = 1 - cx1 + 2x2 – 2x3 < 4 X1, X2, x3 > 0 (i) Give the initial starting tableau for the 2-phase simplex algorithm for this program. (ii) Carry out the 2-phase simplex algorithm on this problem. You should give an optimal solution to the program or say why an optimal solution does not exist. Show your work and explain how you determined if the program is feasible or not at the end of the first phase.
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