Mathematics · Linear Programming Problem & Sensitivity Analysis
In the Linear Programming Problem: Maximize Z = c1x1 + c2x2 Subject to: x1 + 16x2 ≤ 2505x1 + 2x2 ≤ 162 x2 ≤ 50 x1, x2 ≥ 0 If c2 is kept fixed at 45 and the initial value of c1 is 15, determine the range within which c1 can change without changing the optimality of the current basic feasible solution.
- 115 - c2 ≤ c1 ≤ c2
- 215 - 1615 ≤ c1 ≤ 15 + 1615
- 3-15 ≤ c1 ≤ 15
- 415 - 19516 ≤ c1 ≤ 15 + 19516✓
Correct answer
15 - 19516 ≤ c1 ≤ 15 + 19516
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