The computer output given below is for Problem 31. Use this to answer the following questions.
(a) How much could the profit on X increase or decrease without changing the values of X and Y in the optimal solution?
(b) If the right-hand side of constraint 1 were increased by 1 unit, how much would the profit increase?
(c) If the right-hand side of constraint 1 were increased by 10 units, how much would the profit increase?
| X |
Y |
RHS |
Dual |
| Maximize |
5 |
6 |
| const 1 |
2 |
1 |
|
120 |
0.75 |
| const 2 |
2 |
3 |
|
240 |
1.75 |
| Solution -> |
30 |
60 |
510 |
| Problem 33 Solution |
| Variable |
Value |
Reduced Cost |
Original Val |
Lower Bound |
Upper Bound |
| X |
30 |
0 |
5 |
4 |
12 |
| Y |
60 |
0 |
6 |
2.5 |
7.5 |
| Constraint |
Dual Value |
Slack/Surplus |
Original Val |
Lower Bound |
Upper Bound |
| const 1 |
0.75 |
0 |
120 |
80 |
240 |
| const 2 |
1.75 |
0 |
240 |
120 |
360
|