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Solve the following linear program using the decomposition principle: minimize z = ?2x1 ? 5x2 subject to x1 + 2x2 = 13.5 x1 + 3x2 = 18.0 x1 ? 9 x2 ? 5 x1, x2 ? 0. Let the first two constraints be the "hard" constraints and the remaining constraints be the "easy" constraints. As an initial basis use the extreme points (0, 0)T, (0, 5)T, and (9, 5)T. (These are extreme points for the easy constraints in their original form, without slack variables.)
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Explain the basic idea underlying the contingency view. How would you go about identifying key contingencies facing an organization?
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