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Textile Mill

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Submitted By saumil
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i thanksmate-ga,

I have completed the analysis and discussion of the question you have posed. The analysis was done in Excel, but I have brought everything into text format including a description of all the variables used etc. Preliminary Definitions of Variables and Constraints:

x1d – length of fabric 1 produced on dobbie looms x2d – length of fabric 2 produced on dobbie looms x3d – length of fabric 3 produced on dobbie looms x4d – length of fabric 4 produced on dobbie looms x5d – length of fabric 5 produced on dobbie looms x3r – length of fabric 3 produced on regular looms x4r – length of fabric 4 produced on regular looms x5r – length of fabric 5 produced on regular looms

Fabric 1 Fabric 2 Fabric 3 Fabric 4 Fabric 5
Demand, D 16500 22000 62000 7500 62000
Selling price, s 0.99 0.86 1.1 1.24 0.7
Variable cost, v 0.66 0.55 0.49 0.51 0.5
Purchase price, p 0.8 0.7 0.6 0.7 0.7

x1m = quantity manufactured of fabric 1 = x1d x2m = quantity manufactured of fabric 2 = x1d x3m = quantity manufactured of fabric 3 = x3d + x3r x4m = quantity manufactured of fabric 4 = x4d + x4r x5m = quantity manufactured of fabric 5 = x5d + x5r x1p = quantity purchased of fabric 1 = D1 – x1m x2p = quantity purchased of fabric 2 = D2 – x2m x3p = quantity purchased of fabric 3 = D3 – x3m x4p = quantity purchased of fabric 4 = D4 – x4m x5p = quantity purchased of fabric 5 = D5 – x5m

P1 = profit from fabric 1 = D1*s1 – xm1*v1 – xp1*p1
P2 to P5 are defined similarly
P = P1 + P2 + P3 + P4 + P5

Tda = time available on 8 dobbie looms in a month = 8*24*30 = 5760 hours Tra = time available on 30 regular looms in a month = 30*24*30 = 21600 hours m1d = production rate of fabric 1 on dobbie looms = 4.63 yards/hour m2d = 4.63 yards/hour m3d = 5.23 yards/hour m4d = 5.23 yards/hour m5d = 4.17 yards/hour m3r = 5.23 yards/hour m4r = 5.23 yards/hour

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