BUSN 312 Week 2 Assignment/ Linear Programming/Updated Solution

Maximize Z = 300X1 + 400X2 Constraints: Input Crude A: 5X1 + 4X2 ≤ 200 Input Crude B: 3X1 + 5X2 ≤ 150 Output Gasoline X: 5X1 + 4X2 ≥ 100 Output Gasoline Y: 8X1 + 4X2 ≥ 80 Non-Negative Constraints: X1, X2 ≥ 0 Problem 2 Answer Objective: Minimize Z = X1 + X2 + X3 + X4 + X5 + X6 Constraints: Since each cop puts in 8 hours, the ones starting at different times will cover different shifts, so the rules should be: Period 1: X1 + X6 ≥ 20 Period 2: X2 + X1 ≥ 50 Period 3: X3 + X2 ≥ 80 Period 4: X4 + X3 ≥ 100 Period 5: X5 +X4 ≥ 40 Period 6: X6 + X5 ≥ 30 After reviewing the material below the police department should schedule 20 policemen to start working in period 1, 30 policemen in period 2, 50 policemen in period 3, 70 policemen in period 4, 40 policemen in period 5, and 30 policemen in period 6. X1 = 20, X2 = 30, X3 = 50, X4 = 70, X5 =40, X6 = 30 Non-Negative Constraints: