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Question 3 (20 points). A company produces 3 different shoe models: Model-1, Model-2, and Model-3. Each model requires 2, 4 a
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Answer #1

x1 denotes model 1, x2 denotes model 2 and x3 denotes model 3

Max Z: 4x1 + 6x2 + 5x3 + d1- - d1+ = 15

3x1 + 2x2 + x3 + d2- -d2+ = 8600

2x1 + 4x2 + 2x3 + d3- -d3+ = 6500

x2 + d4- - d4+ = 2000

x1 + d5- -d5+ = 860

d1- : underachievement of profit

d1+ : overachievement of profit

d2- : underutilisation of material

d2+: overutilisation of material

d3- : underutilisation of labour

d3+ : overutilisation of labour

d4- : underutilisation of labour for Model 2

d4+ : overutilisation of labour for Model 2

d5- : underproduction of model 1 shoes

d5+ : overproduction of model 1 shoes

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