5. Maximize z = 3x, + x2 + 4x3 subject to 3x, + 3x2 + xz < 18 2x1 + 2x2 + 4xz = 12 %3D X1 2 0, x3 2 0. 6. Minimize z = 5x, + 2x2 + 6x3 subject to 4x, + 2x, + X3 z 12 3x, + 2x2 + 3x356 X1 2 0, x2 2 0.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.6: Multiplying Polynomials
Problem 47WE
icon
Related questions
Question

find the dual of the given linear programming  problem 

5. Maximize
subject to
3x1 + x2 + 4x3
z =
3x1 + 3x, + X3 < 18
2x1 + 2x2 + 4xz = 12
x1 2 0, x3 2 0.
6. Minimize
z = 5x1 + 2x2 + 6x3
subject to
4x1 + 2x, + x3 z 12
Зx, + 2х, + 3x, s 6
х, 2 0, х, 2 0.
Transcribed Image Text:5. Maximize subject to 3x1 + x2 + 4x3 z = 3x1 + 3x, + X3 < 18 2x1 + 2x2 + 4xz = 12 x1 2 0, x3 2 0. 6. Minimize z = 5x1 + 2x2 + 6x3 subject to 4x1 + 2x, + x3 z 12 Зx, + 2х, + 3x, s 6 х, 2 0, х, 2 0.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax