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Consider the following simplex tableau:

 

 

 

Basis            CB

x1

x2

x3

s1

s2

s3

s4

 

 

b         bi/aij

3

4

2

0

0

0

0

s1                    0

x2                    4

x3                    2

s4                    0

-0.33

2

-0.66

1.33

0

1

0

0

0

0

1

0

1

0

0

0

-0.66

1

-0.33

0.66

-1

0

1

-2

0

0

0

1

2

8

2

2

zj cj - zj

 

 

a. Complete this simplex tableau including the zj and cj - zj rows, and the bi/aij column.

b. What is the total value of the objective function for this simplex tableau?

c. Does this provide the optimal solution? If so, indicate what the solution is and how you decided it was optimal. If not, indicate how you decided and what the next variable introduced into the basis should be.

d. What is the meaning of the cj - zj value obtained in the x1 column?

Microeconomics, Economics

  • Category:- Microeconomics
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