Week 2 _BUSN312

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American Military University *

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312

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Accounting

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Jun 13, 2024

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docx

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3

Uploaded by AmbassadorCrab2619

Week 2 – Linear Programming Sebastian Blalock American Military University BUSN312: Operations Research Dr. Shelley Pumphrey 13 May, 2024
2 Problem 1: Objective: Z = 300R 1 + 400R 2 Constraints: Input Crude A: 5R 1 + 4R 2 ≤ 200 Input Crude B: 3R 1 + 5R 2 ≤ 150 Output Gasoline X: 5R 1 + 4R 2 ≥ 100 Output Gasoline Y: 8R 1 + 4R 2 ≥ 80 Non-Negative Constraints: R 1 R 2 ≥ 0 Problem 2: Objective: Z = X 1 + X 2 + X 3 + X 4 + X 5 + X 6 Constraints: Requirements for each period: X 1 + X 6 ≥ 20 (period 1) X 2 + X 1 ≥ 50 (period 2) X 3 + X 2 ≥ 80 (period 3) X 4 + X 3 ≥ 100 (period 4) X 5 + X 4 ≥ 40 (period 5) X 6 + X 5 ≥ 30 (period 6) Each Police Officer works eight consecutive hours: X 1 + X 2 + X 6 ≥ 8 (beginning at period 1) X 2 + X 3 + X 1 ≥ 8 (beginning at period 2) X 3 + X 4 + X 2 ≥ 8 (beginning at period 3) X 4 + X 5 + X 3 ≥ 8 (beginning at period 4) X 5 + X 6 + X 4 ≥ 8 (beginning at period 5) X 6 + X 1 + X 5 ≥ 8 (beginning at period 6) Non-Negative Constraints: X 1 ,X 2 ,X 3 ,X 4 ,X 5 ,X 6 ≥ 0
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