1. Which variables are basic and which variables are nonbasic in this tableau? What basic variables are associated with rows 1, 2, and 3 of this tableau? What are the values of all the variables associated with this basic feasible solution? 2. Suppose you are maximizing the objective z. Identify which one of the following statements is correct, and answer the corresponding question. (a) The current basic feasible solution is optimal. If so, what is an optimal solution and the optimal objective value? (b) The linear program is unbounded. If so, provide a solution with objective value z = 5000 or larger. (c) At least one more iteration of the simplex algorithm is required to solve this problem. If so, identify which variable will leave the basis (go from being basic to being nonbasic), and which variable will enter the basis in the next iteration.
1. Which variables are basic and which variables are nonbasic in this tableau? What basic variables are associated with rows 1, 2, and 3 of this tableau? What are the values of all the variables associated with this basic feasible solution? 2. Suppose you are maximizing the objective z. Identify which one of the following statements is correct, and answer the corresponding question. (a) The current basic feasible solution is optimal. If so, what is an optimal solution and the optimal objective value? (b) The linear program is unbounded. If so, provide a solution with objective value z = 5000 or larger. (c) At least one more iteration of the simplex algorithm is required to solve this problem. If so, identify which variable will leave the basis (go from being basic to being nonbasic), and which variable will enter the basis in the next iteration.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
Please answer correctly write by hand please

Transcribed Image Text:Problem 1 Consider the following simplex tableau.
Row z
X2 x3 x4 a5
X6 x7 x8 RHS
BV
1
0 -5
4 -1 –10
0 620 z = 620
1
3
0 -2 -3 -1
1
12
2
1
1
3
1
3
6
3
1 -1 0
0 6
-4
1. Which variables are basic and which variables are nonbasic in this tableau? What basic
variables are associated with rows 1, 2, and 3 of this tableau? What are the values of all the
variables associated with this basic feasible solution?
2. Suppose you are maximizing the objective z. Identify which one of the following statements
is correct, and answer the corresponding question.
(a) The current basic feasible solution is optimal. If so, what is an optimal solution and the
optimal objective value?
(b) The linear program is unbounded. If so, provide a solution with objective value z = 5000
or larger.
(c) At least one more iteration of the simplex algorithm is required to solve this problem. If
so, identify which variable will leave the basis (go from being basic to being nonbasic),
and which variable will enter the basis in the next iteration.
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 3 steps

Recommended textbooks for you

Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,

Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education

Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,

Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education


Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning

Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.