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
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...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F678df513-5e5e-487b-969a-813ce955d1d5%2F75dd2dc0-87d0-4c1f-aa6a-018ae78308c1%2F7u7ld6_processed.png&w=3840&q=75)
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.
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