Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method: Solution 60 + 10M 7 20 10 (a) State the current Basic Feasible Solution (BFS) in terms of the variable values and z-value. Basic II z 0 81 0 ΤΙ 1 a3 0 x2 3-M 5/4 1 2 81 0 1 0 0 €2 M-3 1/4 -1 1 a2 a3 3-4M 0 -14 0 0 0 -1 1 (b) Is this tableau optimal? Explain your answer. (c) Suppose that the LP models a maximisation problem. i. Obtain the entering variable. Explain your answer. ii. Obtain the leaving variable. Explain your answer. iii. Based on your answer in (ii), explicitly identify the type of solution for the LP.
Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method: Solution 60 + 10M 7 20 10 (a) State the current Basic Feasible Solution (BFS) in terms of the variable values and z-value. Basic II z 0 81 0 ΤΙ 1 a3 0 x2 3-M 5/4 1 2 81 0 1 0 0 €2 M-3 1/4 -1 1 a2 a3 3-4M 0 -14 0 0 0 -1 1 (b) Is this tableau optimal? Explain your answer. (c) Suppose that the LP models a maximisation problem. i. Obtain the entering variable. Explain your answer. ii. Obtain the leaving variable. Explain your answer. iii. Based on your answer in (ii), explicitly identify the type of solution for the LP.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
Related questions
Question
INTRODUCTION TO OPERATIONS RESEARCH
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 40 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill