Minimize subject to C = 8x + 6y + 4z z 26 2z ≥ 4 2x + 3y + x + 2y x + y + 2z ≥ 2 x ≥ 0, y 20, z 20 The minimum is C = 34.857 16 4 xat (x, y, z) = (¹,0 X

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
Construct the dual problem associated with the primal problem. Solve the primal problem.
Minimize
C = 8x + 6y + 4z
subject to
2x + 3y +
Z≥ 6
2z ≥ 4
x + 2y
x +
y + 2z ≥ 2
x ≥ 0, y ≥ 0, z ≥ 0
The minimum is C = 34.857
-
X at (x, y, z) =
16 4
,0
7' 7'
× ).
Transcribed Image Text:Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C = 8x + 6y + 4z subject to 2x + 3y + Z≥ 6 2z ≥ 4 x + 2y x + y + 2z ≥ 2 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = 34.857 - X at (x, y, z) = 16 4 ,0 7' 7' × ).
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
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,