Case Problem Textile Mill Scheduling - 1087 Words

Case Problem: Textile Mill Scheduling Assuming, X1 = Yards of fabric 1 purchased X2 = Yards of fabric 1 on dobbie looms X3 = Yards of fabric 2 purchased X4 = Yards of fabric 2 on dobbie looms X5 = Yards of fabric 3 purchased X61 = Yards of fabric 3 on dobbie looms X62 = Yards of fabric 3 on regular looms X7 = Yards of fabric 4 purchased X81 = Yards of fabric 4 on dobbie looms X82 = Yards of fabric 4 on regular looms X9 = Yards of fabric 5 purchased X101 = Yards of fabric 5 on dobbie looms X102 = Yards of fabric 5 on regular looms Production Times in Hours per Yard: Fabric | Dobbie | Regular | 1 | 1 / 4.63 = 0.215983 | - | 2 | 1 / 4.63 = 0.215983 | - | 3†¦show more content†¦A discussion of value addition of one loom (addition of 9th dobbie loom) Value of 9th Dobbie Loom: Dual Price (Constraint 6) = 0.6482 per dobbie hour Monthly Value of 1 Dobbie Loom (30 days)(24 hours/day)($0.64821) = $466.71 Increase in dobbie loom hours = (30 days)(24 hours/day) = 720 hours This change is within the Right-Hand Side Ranges for Constraint 6. Profit contribution of 1 additional dobbie loom = $466.71 ------------------------------------------------- Q4. Discussion of Objective Coefficient Ranges (cost maximization model) Objective coefficients in Profit Maximization model show profit contribution of each of the fabric type (purchased or produced). For profit maximization, we found that - Fabric 2 is not purchased, showing a reduced cost of .01, similarly, Fabric3 is not produced by dobbie loom (reduced cost of .46) or regular loom (reduced cost of .34). Fabric4 is also not purchased (reduced cost of .19) or produced by dobbie loom (reduced cost of .12). Same is for Fabric5 which is not purchased (reduced cost of .2) and not produced by dobbie loom (reduced cost of .15) Again, we found that Profit contribution of Fabric1 produced by dobbie loom ranges of 0.19 to 0.34, outside which solution would not remain optimal. ------------------------------------------------- Q5. 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