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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

need correct answers. The ones here are incorrect

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
Solution
Bartleby Expert
SEE SOLUTION
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,