Question

Introduce slack variables as necessary, and write the initial simplex tableau for the problem. Find x ? 0 and y ? 0 such that 4x + 2y is maximized, subject to 2x + y ? 23 and 3x + 5y ? 68. A. $\begin{bmatrix} 2 & 1 & 1 & 0 & 0 & 23 \ 3 & 5 & 0 & 1 & 0 & 68 \ 4 & 2 & 0 & 0 & 1 & 0 \end{bmatrix}$ B. $\begin{bmatrix} 2 & 1 & 1 & 0 & 0 & 68 \ 3 & 5 & 0 & 1 & 0 & 23 \ 4 & 2 & 0 & 0 & 1 & 0 \end{bmatrix}$ C. $\begin{bmatrix} 2 & 1 & 1 & 0 & 0 & 23 \ 3 & 5 & 0 & 1 & 0 & 68 \ -4 & -2 & 0 & 0 & 1 & 0 \end{bmatrix}$ D. $\begin{bmatrix} 2 & 1 & 1 & 0 & 0 & 68 \ 3 & 5 & 0 & 1 & 0 & 23 \ -4 & -2 & 0 & 0 & 1 & 0 \end{bmatrix}$

          Introduce slack variables as necessary, and write the initial simplex tableau for the problem.
Find x ? 0 and y ? 0 such that 4x + 2y is maximized, subject to 2x + y ? 23 and 3x + 5y ? 68.
A.
$\begin{bmatrix} 2 & 1 & 1 & 0 & 0 & 23 \ 3 & 5 & 0 & 1 & 0 & 68 \ 4 & 2 & 0 & 0 & 1 & 0 \end{bmatrix}$
B.
$\begin{bmatrix} 2 & 1 & 1 & 0 & 0 & 68 \ 3 & 5 & 0 & 1 & 0 & 23 \ 4 & 2 & 0 & 0 & 1 & 0 \end{bmatrix}$
C.
$\begin{bmatrix} 2 & 1 & 1 & 0 & 0 & 23 \ 3 & 5 & 0 & 1 & 0 & 68 \ -4 & -2 & 0 & 0 & 1 & 0 \end{bmatrix}$
D.
$\begin{bmatrix} 2 & 1 & 1 & 0 & 0 & 68 \ 3 & 5 & 0 & 1 & 0 & 23 \ -4 & -2 & 0 & 0 & 1 & 0 \end{bmatrix}$

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Introduce slack variables as necessary, and write the initial simplex tableau for the problem.
Find x ? 0 and y ? 0 such that 4x + 2y is maximized, subject to 2x + y ? 23 and 3x + 5y ? 68.
A.
< b m a t r i x >
B.
< b m a t r i x >
C.
< b m a t r i x >
D.
< b m a t r i x >

Added by Molly C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sri K

01/13/2023

Step 1

Step 1: Introduce slack variables s1 and s2 to convert the inequalities into equations: 2x + y + s1 = 23 3x + 5y + s2 = 68 Show more…

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Introduce slack variables as necessary, and write the initial simplex tableau for the problem. Find x 20 and y20 such that 4x + 2y is maximized, subject to 2x + y ≤ 23 and 3x + 5y ≤ 68. O A. O C. X 2 3 4 X 2 -4 yuv M 1 5 2 y 5 -2 100 0 1 0 0 u 1 0 0 0 1 V M 0 0 1 0 0 1 23 68 0 23 68 0 O B. O D. x 2 3 4 X 2 3 -4 yu 1 1 5 2 1 0 0 y u 1 1 5 0 -2 v M 0 0 0 0 VM 0 1 0 0 0 68 23 0 68 23 0 Introduce slack variables as necessary, and write the initial simplex tableau for the problem. Find x 20 and y20 such that 4x + 2y is maximized, subject to 2x + y ≤ 23 and 3x + 5y ≤ 68. O A. O C. X 2 3 4 X 2 -4 yuv M 1 5 2 y 5 -2 100 0 1 0 0 u 1 0 0 0 1 V M 0 0 1 0 0 1 23 68 0 23 68 0 O B. O D. x 2 3 4 X 2 3 -4 yu 1 1 5 2 1 0 0 y u 1 1 5 0 -2 v M 0 0 0 0 VM 0 1 0 0 0 68 23 0 68 23 0

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