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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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The injection moulding department of a company that operates 24x7 uses an average of 20 gallons of special lubricant per day. It takes two weeks for an order of lubricant to be del
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