Question

Consider the simplex tableau given below. \begin{bmatrix} 5 & 0 & 1 & 4 & 2 & 0 & 0 & 15 \\ 0 & 1 & 0 & -3 & 0 & 0 & 0 & 24 \\ -2 & 0 & 0 & 3 & 2 & 1 & 0 & 18 \\ 3 & 0 & 0 & 3 & 3 & 0 & 1 & 30 \end{bmatrix} (A) Which variables are basic variables?\\ $S_1, S_2, S_3, \text{ and } x_1$ $x_2, x_3, S_3, \text{ and } z$ $x_1, x_2, x_3, \text{ and } x_3$ $x_1, x_3, S_2, \text{ and } z$ Which variables are nonbasic variables?\\ $x_3, S_3, \text{ and } z$ $x_1, x_3, \text{ and } s_1$ $x_2, x_3, \text{ and } s_3$ $x_1, s_1, \text{ and } s_2$ (B) Find the basic feasible solution determined by setting the nonbasic variables equal to zero and then solving for the basic variables. $x_1 = \boxed{}$ Determine the value of $x_1$.

          Consider the simplex tableau given below.
\begin{bmatrix} 5 & 0 & 1 & 4 & 2 & 0 & 0 & 15 \\ 0 & 1 & 0 & -3 & 0 & 0 & 0 & 24 \\ -2 & 0 & 0 & 3 & 2 & 1 & 0 & 18 \\ 3 & 0 & 0 & 3 & 3 & 0 & 1 & 30 \end{bmatrix}
(A) Which variables are basic variables?\\
$S_1, S_2, S_3, \text{ and } x_1$
$x_2, x_3, S_3, \text{ and } z$
$x_1, x_2, x_3, \text{ and } x_3$
$x_1, x_3, S_2, \text{ and } z$
Which variables are nonbasic variables?\\
$x_3, S_3, \text{ and } z$
$x_1, x_3, \text{ and } s_1$
$x_2, x_3, \text{ and } s_3$
$x_1, s_1, \text{ and } s_2$
(B) Find the basic feasible solution determined by setting the nonbasic variables equal to zero and then solving for the basic variables.
$x_1 = \boxed{}$ 
Determine the value of $x_1$.

Consider the simplex tableau given below.

< b m a t r i x >

(A) Which variables are basic variables?

S1, S2, S3, and x1
x2, x3, S3, and z
x1, x2, x3, and x3
x1, x3, S2, and z
Which variables are nonbasic variables?

x3, S3, and z
x1, x3, and s1
x2, x3, and s3
x1, s1, and s2
(B) Find the basic feasible solution determined by setting the nonbasic variables equal to zero and then solving for the basic variables.
x1 =
Determine the value of x1.

Added by Pamela G.

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