Question: The following is a simplex table for a linear programming model. Complete this table, fill in the ? marks and then answer the questions below.

The following is a simplex table for a linear programming model. Complete this table, fill in the "?" marks and then answer the questions below. a=5 b=5 c=5 d=6 The following is a simplex table for a linear a. What does the solution value of s2 equal in this tableau? b. What happens to the objective function when the value of x3 increases by one unit? c. What happens to the objective function when the value of s1 increases by one unit? d. What happens to the value of x1 when the value of x3 increases by one unit? e. What happens to the value of s2 when the value of s1 increases by one unit? f. How much the value of x2 should increase to remove x1 from the solution? g. How much the value of s1 should increase to remove s2 from the solution? h. What does the value at the x3 column of the zj - cj row mean?

5 5 0 5 0 M j Quantity X1 X2 X3 Si S2 Ai 25 5 M 0 Basic Variables X1 A S2 z; Zj- 25 1 0 0 ? 30 ? b/c 1 -c/a ? ? -c/d 0 3/5 ? ? 5/3 0 d/b ? ? 0 0 1 ? ? 0 1 0

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