Calculate the range of optimality for the profit


The final simplex tableau for a maximization problem is:

 

 

Basis          CB

x1

x2

s1

s2

s3

s4

 

 

b

10

9

0

0

0

0

x2                  9

0

1

30/16

0

-21/16

0

252

s2                   0

0

0

-15/16

1

5/32

0

120

x1                10

1

0

-20/16

0

30/16

0

540

s4                   0

0

0

-11/32

0

9/64

1

18

zj

10

9

70/16

0

111/16

0

7,668

cj- zj

0

0

-70/16

0

-111/16

0

a. Calculate the range of optimality for the profit contribution of x1, that is, the c1 coefficient.

b. Calculate the range of optimality for the profit contribution of x2, that is, the c2 coefficient.

c. Calculate the range of feasibility for b1.

d. Calculate the range of feasibility for b2.

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Microeconomics: Calculate the range of optimality for the profit
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