MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the uestion. 10) Solve the following linear programming problem using the simplex method: Maximize P=x1 - x2 10) subject to x1 + x2 s4 2x1 + 7x2 s 14 X1, x2 a 0 A) Max P= 14 at x1=4 and x2 = 0 C) Max P= 4 at x1=4 and x2 = 0 B) Max P = 4 at x1=4 and x2 = 4 D) Max P= 4 at x1=14 and x2 = 0
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the uestion. 10) Solve the following linear programming problem using the simplex method: Maximize P=x1 - x2 10) subject to x1 + x2 s4 2x1 + 7x2 s 14 X1, x2 a 0 A) Max P= 14 at x1=4 and x2 = 0 C) Max P= 4 at x1=4 and x2 = 0 B) Max P = 4 at x1=4 and x2 = 4 D) Max P= 4 at x1=14 and x2 = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**SHORT ANSWER.** Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
9) For the following initial simplex tableau, identify the basic and nonbasic variables. Find the pivot element, the entering and exiting variables, and perform one pivot operation.
```
x y s1 s2 P
s1 | 3 5 1 0 0 | 15
s2 | 4 1 0 1 0 | 4
P | -15 -10 0 0 1 | 0
```
9) ___________
**MULTIPLE CHOICE.** Choose the one alternative that best completes the statement or answers the question.
10) Solve the following linear programming problem using the simplex method:
Maximize \( P = x_1 - x_2 \)
subject to
\[
\begin{align*}
x_1 + x_2 &\leq 4 \\
2x_1 + 7x_2 &\leq 14 \\
x_1, x_2 &\geq 0
\end{align*}
\]
A) Max \( P = 14 \) at \( x_1 = 4 \) and \( x_2 = 0 \)
B) Max \( P = 4 \) at \( x_1 = 4 \) and \( x_2 = 4 \)
C) Max \( P = 4 \) at \( x_1 = 4 \) and \( x_2 = 0 \)
D) Max \( P = 4 \) at \( x_1 = 14 \) and \( x_2 = 0 \)
10) ___________
11) Formulate the dual problem for the linear programming problem:
Minimize \( C = 3x_1 + x_2 \)
subject to
\[
\begin{align*}
2x_1 + 3x_2 &\geq 60 \\
x_1 + 4x_2 &\geq 40 \\
x_1, x_2 &\geq 0
\end{align*}
\]
A) Maximize \( P = 60y_1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ad954f6-3e43-4185-98a8-84783e08c6bc%2F58bda7d0-9373-42b9-aaa4-10dfa808bf02%2Fx54dvsn_processed.png&w=3840&q=75)
Transcribed Image Text:**SHORT ANSWER.** Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
9) For the following initial simplex tableau, identify the basic and nonbasic variables. Find the pivot element, the entering and exiting variables, and perform one pivot operation.
```
x y s1 s2 P
s1 | 3 5 1 0 0 | 15
s2 | 4 1 0 1 0 | 4
P | -15 -10 0 0 1 | 0
```
9) ___________
**MULTIPLE CHOICE.** Choose the one alternative that best completes the statement or answers the question.
10) Solve the following linear programming problem using the simplex method:
Maximize \( P = x_1 - x_2 \)
subject to
\[
\begin{align*}
x_1 + x_2 &\leq 4 \\
2x_1 + 7x_2 &\leq 14 \\
x_1, x_2 &\geq 0
\end{align*}
\]
A) Max \( P = 14 \) at \( x_1 = 4 \) and \( x_2 = 0 \)
B) Max \( P = 4 \) at \( x_1 = 4 \) and \( x_2 = 4 \)
C) Max \( P = 4 \) at \( x_1 = 4 \) and \( x_2 = 0 \)
D) Max \( P = 4 \) at \( x_1 = 14 \) and \( x_2 = 0 \)
10) ___________
11) Formulate the dual problem for the linear programming problem:
Minimize \( C = 3x_1 + x_2 \)
subject to
\[
\begin{align*}
2x_1 + 3x_2 &\geq 60 \\
x_1 + 4x_2 &\geq 40 \\
x_1, x_2 &\geq 0
\end{align*}
\]
A) Maximize \( P = 60y_1
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