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Mardi Gras sells 3 types of T-shirts: Alabama, Buffalo, and Colorado. Manufacturing Alabama requires 2 minutes of machine time and 30 minutes of tie-dying labor,
Mardi Gras sells 3 types of T-shirts: Alabama, Buffalo, and Colorado. Manufacturing Alabama requires 2 minutes of machine time and 30 minutes of tie-dying labor, and costs $18 in materials. The Buffalo requires 2.5 minutes of machine time and 35 minutes of labor, and costs $14 in materials to produce. The Colorado requires 3 minutes of machine time and 40 minutes of labor, but costs only $10 to produce. There are 350 machining minutes available per week, 4750 tie-dying labor minutes, and he has a budget of $3000. Alabama sells for $20, Buffalo for $24, and Colorado for $30. . The solution from QM for Windows is shown below. X3 Linear Programming Results (untitled) Solution B RHS Dual CE Maximize Constraint 1 Constraint 2 Constraint 3 20 2 30 18 0 24 2.5 35 14 0 30 3 40 10 116.67 350 4750 3000 3500 10 0 0 C= Solution The ranging report from QM for Windows is shown below. o o Ranging (untitled) Solution Variable B Infinity Value Reduced... Original Val Lower Bou... Upper Bou... 0 0 20 -Infinity 20 0 1 24 - Infinity 25 116.67 0 30 30 Dual Value Slack/Surp... Original Val Lower Bou... Upper Bou... 10 0 350 0 356.25 0 83.33 4750 4666.67 Infinity 0 1833.33 3000 1166.67 Infinity Constraint 1 Constraint 2 Constraint 3 If one of the machines breaks down, it usually results in about 15 minutes of downtime. When this happens, revenues are reduced by: O $250. O $180. O $150. O $350
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