Consider the simplex tableau given below. X₁ x₂ X3 $₁ S₂ S3 3 0 1 3 0 0 0 0 0 -2 2 1 2 0 x₂ = O X₁, X₂, and x3 Ox₁, S₁, and $2 S₁ = 14 $3 = 1 0 0 (B) Determine each of the values. x₁ = P= 0 0 3 -5 3 3 P 0 25 0 14 0 25 1 18 (C) Which of the following is true? O An additional pivot is required. O The problem has no optimal solution. O The optimal solution has been found. C... Determine the value of x₁. Determine the value of x₂. Determine the value of x3 Determine the value of $₁. Determine the value of $2. Determine the value of $3. Determine the value of P

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...
icon
Related questions
Question
**Simplex Tableau Analysis**

Consider the simplex tableau given below:

\[
\begin{array}{ccccccc|c}
x_1 & x_2 & x_3 & s_1 & s_2 & s_3 & P \\
\hline
3 & 0 & 1 & 3 & 0 & 0 & 25 \\
0 & 1 & 0 & -5 & 0 & 0 & 14 \\
-2 & 0 & 0 & 3 & 2 & 0 & 25 \\
\hline
-2 & 0 & 3 & 0 & 2 & 1 & 18 \\
\end{array}
\]

### (A) Basic Variables
Select the set of basic variables:
- ○ \( x_1, x_2, \text{and } x_3 \)
- ● \( x_1, s_1, \text{and } s_2 \)

### (B) Determine Each of the Values

\[
\begin{align*}
x_1 & = \_\_\_\_ \\
x_2 & = \_\_\_\_ \\
x_3 & = \_\_\_\_ \\
s_1 & = 14 \\
s_2 & = \_\_\_\_ \\
s_3 & = \_\_\_\_ \\
P & = \_\_\_\_ \\
\end{align*}
\]

Determine the value of \( x_1 \).  
Determine the value of \( x_2 \).  
Determine the value of \( x_3 \).  
Determine the value of \( s_1 \).  
Determine the value of \( s_2 \).  
Determine the value of \( s_3 \).  
Determine the value of \( P \).

### (C) True Statement

Which of the following is true?
- ○ An additional pivot is required.
- ○ The problem has no optimal solution.
- ○ The optimal solution has been found.
Transcribed Image Text:**Simplex Tableau Analysis** Consider the simplex tableau given below: \[ \begin{array}{ccccccc|c} x_1 & x_2 & x_3 & s_1 & s_2 & s_3 & P \\ \hline 3 & 0 & 1 & 3 & 0 & 0 & 25 \\ 0 & 1 & 0 & -5 & 0 & 0 & 14 \\ -2 & 0 & 0 & 3 & 2 & 0 & 25 \\ \hline -2 & 0 & 3 & 0 & 2 & 1 & 18 \\ \end{array} \] ### (A) Basic Variables Select the set of basic variables: - ○ \( x_1, x_2, \text{and } x_3 \) - ● \( x_1, s_1, \text{and } s_2 \) ### (B) Determine Each of the Values \[ \begin{align*} x_1 & = \_\_\_\_ \\ x_2 & = \_\_\_\_ \\ x_3 & = \_\_\_\_ \\ s_1 & = 14 \\ s_2 & = \_\_\_\_ \\ s_3 & = \_\_\_\_ \\ P & = \_\_\_\_ \\ \end{align*} \] Determine the value of \( x_1 \). Determine the value of \( x_2 \). Determine the value of \( x_3 \). Determine the value of \( s_1 \). Determine the value of \( s_2 \). Determine the value of \( s_3 \). Determine the value of \( P \). ### (C) True Statement Which of the following is true? - ○ An additional pivot is required. - ○ The problem has no optimal solution. - ○ The optimal solution has been found.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
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…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.