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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