The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max 6x1 + 3x2 s.t. 4x1 + x2 ≤ 400 4x1 + 3x2 ≤ 600 x1 + 2x2 ≤ 300 x1, x2 ≥ 0 (a) Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) ------ to -------- (b) Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) ----- to -------- (c) Compute the dual value for the first constraint, second constraint & third constraint
The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max 6x1 + 3x2 s.t. 4x1 + x2 ≤ 400 4x1 + 3x2 ≤ 600 x1 + 2x2 ≤ 300 x1, x2 ≥ 0 (a) Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) ------ to -------- (b) Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) ----- to -------- (c) Compute the dual value for the first constraint, second constraint & third constraint
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.4: Applications Of Eigenvalues And Eigenvectors
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The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2.
Max 6x1 + 3x2
| s.t. | ||||
| 4x1 + x2 | ≤ | 400 | ||
| 4x1 + 3x2 | ≤ | 600 | ||
| x1 + 2x2 | ≤ | 300 | ||
| x1, x2 | ≥ |
0
|
(a)
Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.)
------ to --------
(b)
Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.)
----- to --------
(c)
Compute the dual value for the first constraint, second constraint & third constraint
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