Find the value of the unknown variables and the maximum profit using the simplex method. Maximize Z: 6x1 + 5x2 Subject to: 1) 2x1 + x2 = 12 2) 2x1 + 3x2≤ 24 3) 2x1 + 9x2≥ 36

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
Topic Video
Question

Find the value of the unknown variables and the maximum profit using the simplex method.
Maximize Z: 6x1 + 5x2
Subject to:
1) 2x1 + x2 = 12
2) 2x1 + 3x2≤ 24
3) 2x1 + 9x2≥ 36

II. Procedures
1. Set up the new programs with slack variables.
2. Make the initial table and enter the needed data.
3. Compute the Zj values.
4. Compute the Cj – Zj values.
5. Identify the optimum column.
6. Determine the pivotal row.
7. Construct the table II with the replacing row.
8. Complete the table entries indicating the optimum solution and pivotal row.
9. Construct table III replacing row and complete the entries by providing the necessary data to complete the table.
10.Continue the process until you reach the optimum table/solution.
11.Make a decision from the optimum table.

Expert Solution
steps

Step by step

Solved in 7 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
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,