Question: Consider the following linear program. Max 3 A + 2 B s . t . 1 A + 1 B 10 3 A + 1
Consider the following linear program.
| Max | 3A | + | 2B | ||
| s.t. | |||||
| 1A | + | 1B | 10 | ||
| 3A | + | 1B | 26 | ||
| 1A | + | 2B | 18 | ||
| A, | B | 0 |
(d) The computer solution for the linear program in part (a) provides the following objective coefficient range information.
| Variable | Objective Coefficient | Allowable Increase | Allowable Decrease |
| A | 3.00000 | 3.00000 | 1.00000 |
| B | 2.00000 | 1.00000 | 1.00000 |
Use this objective coefficient range information to answer parts (b) and (c).
The objective coefficient range for variable A is _____ to______ . Since the change in part (b) is ---Select--- within OR outside this range, we know the optimal solution ---Select--- will will not change. The objective coefficient range for variable B is ____to _____ . Since the change in part (c) is ---Select--- within OR outside this range, we know the optimal solution ---Select--- will OR will not change.
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