Question: 5) DETERMINING OPTIMALITY (4 MARKS) A simplex tableau is shown below. X3 X1 15 X2 2 S2 0 Basis 8 X1 6 0 CB 15

5) DETERMINING OPTIMALITY (4 MARKS) A simplex

5) DETERMINING OPTIMALITY (4 MARKS) A simplex tableau is shown below. X3 X1 15 X2 2 S2 0 Basis 8 X1 6 0 CB 15 0 8 1 0 0 S2 0 0 1 Si 0 3 -5/2 1/2 49 -49 RHS 12 45 18 -1/2 1/2 1 S3 0 7 -3/2 1/2 109 -109 X3 0 94 324 Z; G - Zj 15 0 8 0 0 0 -92 a) What is the basic feasible solution corresponding to this tableau? Explain wluy (2 marks) b) Is this solution optimal? Why or why not? (2 marks) 5) DETERMINING OPTIMALITY (4 MARKS) A simplex tableau is shown below. X3 X1 15 X2 2 S2 0 Basis 8 X1 6 0 CB 15 0 8 1 0 0 S2 0 0 1 Si 0 3 -5/2 1/2 49 -49 RHS 12 45 18 -1/2 1/2 1 S3 0 7 -3/2 1/2 109 -109 X3 0 94 324 Z; G - Zj 15 0 8 0 0 0 -92 a) What is the basic feasible solution corresponding to this tableau? Explain wluy (2 marks) b) Is this solution optimal? Why or why not? (2 marks)

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