The linear programming problem whose output follows, Ask an Expert

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The linear programming problem whose output follows determines how many fire red nail polish, bright red nail polish, basil green nail polish, and basic pink nail polish a beauty salon should stock. The objective function measures profit; it is assumed that every piece stocked will be sold. Constraint 1 measures display space in units, constraint 2 measures time to set up the display in minutes. Constraints 3 and 4 are marketing restrictions. MAX 100x1 + 120x2 + 150x3 + 125x4 Subject to 1. x1 + 2x2 + 2x3 + 2x4 < 108 2. 3x1 + 5x2 + x4 < 120 3. x1 + x3 < 25 4. x2 + x3 + x4 > 50 Optimal Solution: Objective Function Value = 7475.000 Variable Value Reduced Costs X1 8 0 X2 0 5 X3 17 0 X4 33 0 Constraint Slack / Surplus Dual Prices 1 0 75 2 63 0 3 0 25 4 0 -25 Objective Coefficient Ranges Variable Lower Limit Current Value Upper Limit X1 87.5 100 none X2 none 120 125 X3 125 150 162 X4 120 125 150 Right Hand Side Ranges Constraint Lower Limit Current Value Upper Limit 1 100 108 123.75 2 57 120 none 3 8 25 58 4 41.5 50 54 How many basic pink nail polish should be stocked? 8 0 17 33.

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