Question: Consider the following simplex tableau for an LO-model: For a-c. below, give values of [a1 a2 a3 a4 a5]T for the first column that satisfy

Consider the following simplex tableau for an LO-model:

For a-c. below, give values of [a1 a2 a3 a4 a5]T for the first column that satisfy the given condition. If simply identifying an entrys sign will suffice, you may write + or .

a. The corresponding solution is optimal and unique. b. The corresponding solution is optimal and not unique, furthermore, x1 = 12 in the alternative optimal basic feasible solution. c. The corresponding solution is not optimal, and in the next feasible basic solution, x6 = 0and z = 539.

T5 T7 2 500 84 C1 T2 T3 T4 T6 1 0 0 0 0 40 0 25 0 0 1 1/2 O 2 1 0 0 2 0 5/2 a4 0 1 0 3/2 O 1/2 15 0 0 0 5/2 1 3/2 d3 225 125 65 T5 T7 2 500 84 C1 T2 T3 T4 T6 1 0 0 0 0 40 0 25 0 0 1 1/2 O 2 1 0 0 2 0 5/2 a4 0 1 0 3/2 O 1/2 15 0 0 0 5/2 1 3/2 d3 225 125 65

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