Question: 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

1a. What is the optimal production plan?

1b. How many units of X1 are to be produced?

1c. How many units of X2 are to be produced?

1d. How many units of X3 are to be produced?

1e. How many units of X4 are to be produced?

2. What is the expected profit from this production plan?

3.What constraints are binding? (Circle your answer

):

3a. Material binding: yes or no

3b. Machine Hours binding: yes or no

3c. Labor Hours binding: yes or no

3d. Inspection Hours binding: yes or no

3e. Shipping binding: yes or no

** No other data given

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