Question: The following is a final simplex tableau for a maximization problem. Use this to answer the questions below. C j 3 2 -1 0 0

The following is a final simplex tableau for a maximization problem. Use this to answer the questions below.

Cj

3

2

-1

0

0

0

Sol.Mix

X1

X2

X3

S1

S2

S3

Quantity

2

X2

0

1

3

1.5

0

-0.5

7.5

0

S2

0

0

6

2.5

1

-1.5

22.5

3

X1

1

0

-1

-0.5

0

0.5

2.5

Zj

3

2

3

1.5

0

-0.5

22.5

Cj-Zj

0

0

-4

-1.5

0

-0.5

  1. What is the range of insignificance for the contribution rate of variable X1?
  2. What is the range of optimality for the contribution rate of variable X2?

(c) How much can the right hand-side of the second constraint be reduced without affecting the maximum profit?

(d) If one more unit of the second resource were obtained, what would happen to profits? Be specific.

(e) If one more unit of the third resource were obtained, what would happen to profits? Be specific.

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