b. Minimize Subject to: z=2x1 + 3x2 4x12x2 20 2x16x218 1x1 +2x2 s 12 x1, x20...

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b. Minimize Subject to: z=2x1 + 3x2 4x12x2 20 2x16x218 1x1 +2x2 s 12 x1, x20 1. What are the optimal values of the decision variables and Z? (Round your answers to 1 decimal place.) Decision Variables X1 Optimal values x2 Z 2. Do any constraints have (nonzero) slack? If yes, which one(s) and how much slack does each have? Yes, the constraint F has a slack of 4.6. O Yes, the constraint E has a slack of 3.6. O Yes, the constraint D has a slack of 4.2. 2. Do any constraints have (nonzero) slack? If yes, which one(s) and how much slack does each have? O Yes, the constraint F has a slack of 4.6. O Yes, the constraint E has a slack of 3.6. O Yes, the constraint D has a slack of 4.2. 3. Do any constraints have (nonzero) surplus? If yes, which one(s) and how much surplus does each have? O No, there is no surplus. The first constraint has a surplus of 20. The second constraint has a surplus of 15. 4. Are any constraints redundant? If yes, which one(s)? Yes No b. Minimize Subject to: z=2x1 + 3x2 4x12x2 20 2x16x218 1x1 +2x2 s 12 x1, x20 1. What are the optimal values of the decision variables and Z? (Round your answers to 1 decimal place.) Decision Variables X1 Optimal values x2 Z 2. Do any constraints have (nonzero) slack? If yes, which one(s) and how much slack does each have? Yes, the constraint F has a slack of 4.6. O Yes, the constraint E has a slack of 3.6. O Yes, the constraint D has a slack of 4.2. 2. Do any constraints have (nonzero) slack? If yes, which one(s) and how much slack does each have? O Yes, the constraint F has a slack of 4.6. O Yes, the constraint E has a slack of 3.6. O Yes, the constraint D has a slack of 4.2. 3. Do any constraints have (nonzero) surplus? If yes, which one(s) and how much surplus does each have? O No, there is no surplus. The first constraint has a surplus of 20. The second constraint has a surplus of 15. 4. Are any constraints redundant? If yes, which one(s)? Yes No