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Q2. Considering the following problem: Maximize Z = 50x₁ + 80x₂ subject to: X₁ + X₂ ≤ 20 5x₁ + 2x₂ ≤ 60 x₁ ≤ 10 X₁, X₂20 1. Trace the constraints in the Coordinate Axes 2. Locate the Feasible Solution Area 3. Calculate Z in the Border points (Extreme points) 4. Find the Optimal Solution 5. Write the problem in standard form 6. Calculate Slack or Surplus 7. Which constraints are binding, non-binding? Why?

Q2. Considering the following problem: Maximize Z = 50x₁ + 80x₂ subject to: X₁ + X₂ ≤ 20 5x₁ + 2x₂ ≤ 60 x₁ ≤ 10 X₁, X₂20 1. Trace the constraints in the Coordinate Axes 2. Locate the Feasible Solution Area 3. Calculate Z in the Border points (Extreme points) 4. Find the Optimal Solution 5. Write the problem in standard form 6. Calculate Slack or Surplus 7. Which constraints are binding, non-binding? Why?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2. Considering the following problem: Maximize Z = 50x₁ + 80x₂ subject to: X₁ + X₂ ≤ 20 5x₁ + 2x₂ ≤ 60 X₁ ≤ 10 X₁, X₂20 1. Trace the constraints in the Coordinate Axes 2. Locate the Feasible Solution Area 3. Calculate Z in the Border points (Extreme points) 4. Find the Optimal Solution 5. Write the problem in standard form 6. Calculate Slack or Surplus 7. Which constraints are binding, non-binding? Why?
Transcribed Image Text:Q2. Considering the following problem: Maximize Z = 50x₁ + 80x₂ subject to: X₁ + X₂ ≤ 20 5x₁ + 2x₂ ≤ 60 X₁ ≤ 10 X₁, X₂20 1. Trace the constraints in the Coordinate Axes 2. Locate the Feasible Solution Area 3. Calculate Z in the Border points (Extreme points) 4. Find the Optimal Solution 5. Write the problem in standard form 6. Calculate Slack or Surplus 7. Which constraints are binding, non-binding? Why?
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