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The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max    3x1 + x2 s.t.               4x1 + x2 ≤ 400   4x1 + 3x2 ≤ 600   x1 + 2x2 ≤ 300   x1, x2 ≥ 0 Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Compute the dual value for the first constraint? Compute the dual value for the second constraint? Compute the dual value for the third constraint?

The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max    3x1 + x2 s.t.               4x1 + x2 ≤ 400   4x1 + 3x2 ≤ 600   x1 + 2x2 ≤ 300   x1, x2 ≥ 0 Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Compute the dual value for the first constraint? Compute the dual value for the second constraint? Compute the dual value for the third constraint?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
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The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2.
Max    3x1 + x2
s.t.            
  4x1 + x2 ≤ 400
  4x1 + 3x2 ≤ 600
  x1 + 2x2 ≤ 300
  x1, x2 ≥ 0

Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.)

Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.)

Compute the dual value for the first constraint?

Compute the dual value for the second constraint?

Compute the dual value for the third constraint?

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The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max 3x₁ + x₂ s.t. 4x₁ + x₂ ≤ 400 4x₁ + 3x₂ ≤600 X₁ + 2x₂ ≤ 300 X1 X₂20 (a) Over what range can the coefficient of x₁ vary before the current solution is no longer optimal? (Round your answers to two decimal places.) to 75, x Your answer cannot be understood or graded. More Information 75,100 (b) Over what range can the coefficient of x₂ vary before the current solution is no longer optimal? (Round your answers to two decimal places.) 0x to 2.25 (c) Compute the dual value for the first constraint. 0.25 X Compute the dual value for the second constraint. 600 X Compute the dual value for the third constraint. 275
Transcribed Image Text:The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max 3x₁ + x₂ s.t. 4x₁ + x₂ ≤ 400 4x₁ + 3x₂ ≤600 X₁ + 2x₂ ≤ 300 X1 X₂20 (a) Over what range can the coefficient of x₁ vary before the current solution is no longer optimal? (Round your answers to two decimal places.) to 75, x Your answer cannot be understood or graded. More Information 75,100 (b) Over what range can the coefficient of x₂ vary before the current solution is no longer optimal? (Round your answers to two decimal places.) 0x to 2.25 (c) Compute the dual value for the first constraint. 0.25 X Compute the dual value for the second constraint. 600 X Compute the dual value for the third constraint. 275
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