Question: 3 Consider the following LP and its optimal tableau (Table 52): a Find the dual to this LP and its optimal solution. b Find the

3 Consider the following LP and its optimal tableau

(Table 52):

s.t. max z = 5x1 + x2 + 2x3 x1 + x2

a Find the dual to this LP and its optimal solution.
b Find the range of values of c1 for which the current basis remains optimal.
c Find the range of values of c2 for which the current basis remains optimal.

s.t. max z = 5x1 + x2 + 2x3 x1 + x2 + x3 6 6x1 +x3 8 x2 + x3 2 x1, x2, x30

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