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 | |
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.
- 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.
- 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.
- 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.
- 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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