Week 2 Assignment - Linear Programming

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American Public University *

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312

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Industrial Engineering

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Feb 20, 2024

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docx

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Week 2 Assignment: Linear Programming Courtney Hanley BUSN312: Operations Research Dr. Shelley Pumphrey January 14, 2024

Problem 1 Answer: Objective: Maximize Z = 300R1+ 400R2 Constraints: Input Crude A: 5R1 + 4R2 ≤ 200 Input Crude B: 3R1 + 5R2 ≤ 150 Output Gasoline X: 5R1 + 4R2 ≥ 100 Output Gasoline Y: 8R1 + 4R2 ≥ 80 Non-Negative Constraints: R1, R2 ≥ 0 Solution: Z=300 (30) + 400 (12) =Rs. 13800. The manager should undertake 30 runs from process 1, and 12 runs from process 2. The max profit is Rs. 13800. Problem 2 Answer: Objective: Minimize Z = X1 + X2 + X3 + X4 + X5 + X 6 Constraints: Requirements for each time period: X1+ X6 ≥ 20 (period 1) X2+ X1 ≥ 50 (period 2) X3+ X2 ≥ 80 (period 3) X4+ X3 ≥ 100 (period 4) X5+ X4 ≥ 40 (period 5) X6+ X5 ≥ 30 (period 6)

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