Question: What is the smallest value of the objective function coefficient X 1 can assume without changing the optimal solution? MAX: 7 X 1 + 4

What is the smallest value of the objective function coefficient X1 can assume without changing the optimal solution?

MAX: 7 X1 + 4 X2
Subject to: 2 X1 + X2 16
X1 + X2 10
2 X1 + 5 X2 40
X1, X2 0

Changing Cells

Final

Reduced

Objective

Allowable

Allowable

Cell Name

Value

Cost

Coefficient

Increase

Decrease

$B$4 Number to make: X1

6

0

7

1

3

$C$4 Number to make: X2

4

0

4

3

0.5

Constraints

Final

Shadow

Constraint

Allowable

Allowable

Cell Name

Value

Price

R.H. Side

Increase

Decrease

$D$8 Used

16

3

16

4

2.67

$D$9 Used

10

1

10

1

2

$D$10 Used

32

0

40

1E+30

8

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