Scottsville Textile Mill Case

MGM 350

Production Schedule and loom assignment
Decision Variable
X1: Yards of fabric 1 on dobbie loom
X2: Yards of fabric 2 on dobbie loom
X3: Yards of fabric 3 on dobbie loom
X4: Yards of fabric 4 on dobbie loom
X5: Yards of fabric 5 on dobbie loom
X6: Yards of fabric 3 on regular loom
X7: Yards of fabric 4 on regular loom
X8: Yards of fabric 5 on regular loom
X9: Yards of fabric 1 purchased
X10: Yards of fabric 2 purchased
X11: Yards of fabric 3 purchased
X12: Yards of fabric 4 purchased
X13: Yards of fabric 5 purchased
Profit Contribution per yard
|Fabric |Manufacturing (Selling-Variable) |Purchasing (Selling-Purchasing) |
|1 |0.33 (0.99-0.66) |0.19 (0.99-0.8) |
|2 |0.31 (0.86-0.55) |0.16 (0.86-0.7) |
|3 |0.61 (1.1-0.49) |0.5 (1.1-0.6) |
|4 |0.73 (1.24-0.51) |0.54 (1.24-0.7) |
|5 |0.2 (0.7-0.5) |0 (0.7-0.7) |

Working Hour
Dobbie: 8*24*30=5760 hours Regular: 30*24*30=21600 hours
Hour per yard
|Fabric |Dobbie |Regular |
|1 |1/4.63=0.216 | / |
|2 |1/4.63=0.216 | / |
|3 |1/5.23=0.19 | 0.19 |
|4 |1/5.23=0.19 | 0.19 |
|5 |1/4.17=0.24 | 0.24