Consider the following optimal tableau, where S1 and S2 are slack variables added to the original problem:

(a) What is the range of optimality for the contribution rate of the variable X1?
(b) What is the range of insignificance of the contribution rate of the variable X2?
(c) How much would you be willing to pay for one more unit of the first resource, which is represented by slack variable S1?
(d) What is the value of one more unit of the second resource? Why?
(e) What would the optimal solution be if the profit on X2 were changed to $35 instead of $30?
(f) What would the optimal solution be if the profit on X1 were changed to $12 instead of $10? How much would the maximum profit change?
(g) How much could the right-hand side in constraint number 2 be decreased before profit would beaffected?

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$10 $30 $0 $0 SOLUTION MIx S, QUANTITY S10 X S 0 S2 160 200 Z S10 $40 $20 $0 $1,600 0 671 C-Z 0-10-20 0