Consider the optimal solution to the Muddy River Chemical Corporation problem in Table M7.10.

(a) For each of the two chemical ingredients, phosphate and potassium, determine the range over which their cost may vary without affecting the basis.
(b) If the original constraint that “no more than 300 pounds of phosphate can be used” (X1 ≤ 300) were changed to (X1 ≤ 400) would the basis change? Would the values of X1, X2 and S2 change?

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$5 $6 so 0 M SM SOLUTION MIN x, x, s, At A! QUANTITY 550 $5 $6 -SI $0 $6 S5,700