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Objective Cell (Max) Cell Name Original Value Final Value $I$7 Max 80888.89 80888.89 Variable Cells Cell Name Original Value Final Value Integer $E$6 X1 111.1

Objective Cell (Max)

Cell

Name

Original Value

Final Value

$I$7

Max

80888.89

80888.89

Variable Cells

Cell

Name

Original Value

Final Value

Integer

$E$6

X1

111.1

111.1

Contin

$F$6

X2

4

4

Contin

$G$6

X3

0

0

Contin

$H$6

X4

36.9

36.9

Contin

Constraints

Cell

Name

Cell Value

Formula

Status

Slack

$K$9

Material

300

$K$9<=$M$9

Binding

0

$K$10

Machine Hours

156

$K$10<=$M$10

Not Binding

4

$K$11

Labor Hours

192.9

$K$11<=$M$11

Not Binding

87.1

$K$12

Inspection Hours

40

$K$12<=$M$12

Binding

0

$K$13

Shipping

2500

$K$13<=$M$13

Binding

0

Variable Cells

Final

Reduced

Objective

Allowable

Allowable

Cell

Name

Value

Cost

Coefficient

Increase

Decrease

$E$6

X1

111.1

0

500

100

140

$F$6

X2

4

0

800

583.3

500

$G$6

X3

0

-704.4

1000

704.4

1E+30

$H$6

X4

36.9

0

600

500

100

Constraints

Final

Shadow

Constraint

Allowable

Allowable

Cell

Name

Value

Price

R.H. Side

Increase

Decrease

$K$9

Material

300

116.7

300

20

133.3

$K$10

Machine Hours

156

0

160

1E+30

4

$K$11

Labor Hours

192.9

0

280

1E+30

87.1

$K$12

Inspection Hours

40

800

40

1.7

2.5

$K$13

Shipping

2500

5.6

2500

1568

664

Answer the following questions without re-running Solver. Place your answer in the adjacent box. Please note that if there is not enough information available to answer a question without re-running Solver then answer the question with the caption, Not enough information. Show your math work if the answer requires math to assess.

  1. Does the optimal solution change if the unit profit of X2 changes to $1400 per unit? If yes, then what is the new Objective Function Value? Show your work.
  2. Does the optimal solution change if the Shipping budget (a resource constraint) increases to $4000? If yes, then what is the new Objective Function Value? Show your work.
  3. Does the optimal solution change if the following resource constraints change simultaneously:Shipping budget decreases to $2000 and the amount of available Material decreases to 200. Show your work.
  4. Does the optimal solution change if the following resource constraints change simultaneously:The Shipping budget increases to $3000, the amount of available Material decreases to 270 lbs., and the available Inspection hours increase to 41 hours. Show your work

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