Question: DETERMINING OPTIMALITY (4 MARKS) A simplex tableau is shown below. x1 x2 x3 s1 s2 s3 Basis cB 15 2 8 0 0 0 RHS

DETERMINING OPTIMALITY (4 MARKS)

A simplex tableau is shown below.

x1 x2 x3 s1 s2 s3
Basis cB 15 2 8 0 0 0 RHS
x1 15 1 6 0 3 0 7 12
s2 0 0 -1/2 0 -5/2 1 -3/2 45
x3 8 0 1/2 1 1/2 0 1/2 18
zj 15 94 8 49 0 109 324
cj - zj 0 -92 0 -49 0 -109

a) What is the basic feasible solution corresponding to this tableau? Explain why (2 marks)
b) Is this solution optimal? Why or why not? (2 marks)

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