8. Minimize Z = 3X1 + 2X2 Subject to:- 1. 2X1 + X2 12 2. X1 + X2 10 3. -X1 + X2 6 ≥ 4. (X1,X2 ) 0 ≥ 9. Minimize Z = 600X1 + 400X2 Subject to:- 1. 3X1 + 3X2 40 ≥ 2. 3X1 + X2 40 ≥ 3. 2X1 + 5X2 44 ≥ 4. (X1,X2 ) 0 ≥ 10. Minimize Z = 20X1 + 40X2 Subject to:- 1. 36X1 + 6X2 108 ≥ 2. 3X1 + 12 X2 36 ≥ 3. 20X1 + 10X2 100 ≥ 4. (X1,X2 ) 0 ≥
8. Minimize Z = 3X1 + 2X2 Subject to:- 1. 2X1 + X2 12 2. X1 + X2 10 3. -X1 + X2 ≥ 6 4. (X1,X2 ) ≥ 0 9. Minimize Z = 600X1 + 400X2 Subject to:- 1. 3X1 + 3X2 ≥ 40 2. 3X1 + X2 ≥ 40 3. 2X1 + 5X2 ≥ 44 4. (X1,X2 ) ≥ 0 10. Minimize Z = 20X1 + 40X2 Subject to:- 1. 36X1 + 6X2 ≥ 108 2. 3X1 + 12 X2 ≥ 36 3. 20X1 + 10X2 ≥ 100 4. (X1,X2 ) ≥ 0
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