The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max 3x1 + x2 s.t. 4x1 + x2 ≤ 400 4x1 + 3x2 ≤ 600 x1 + 2x2 ≤ 300 x1, x2 ≥ 0 Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Compute the dual value for the first constraint? Compute the dual value for the second constraint? Compute the dual value for the third constraint?
The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max 3x1 + x2 s.t. 4x1 + x2 ≤ 400 4x1 + 3x2 ≤ 600 x1 + 2x2 ≤ 300 x1, x2 ≥ 0 Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Compute the dual value for the first constraint? Compute the dual value for the second constraint? Compute the dual value for the third constraint?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
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The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2.
Max 3x1 + x2
| s.t. | ||||
| 4x1 + x2 | ≤ | 400 | ||
| 4x1 + 3x2 | ≤ | 600 | ||
| x1 + 2x2 | ≤ | 300 | ||
| x1, x2 | ≥ | 0 |
Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.)
Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.)
Compute the dual value for the first constraint?
Compute the dual value for the second constraint?
Compute the dual value for the third constraint?
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