TheFallen018
New member
- Joined
- Mar 16, 2018
- Messages
- 7
Hey, I'm a little unsure about this question. I've got an answer, but I'm not sure that it's correct, and I can't find the info I need relating to this.
Here is the question
Write the feasible region for
\(\displaystyle C \subset R^{3} \), where
\(\displaystyle C=((x,y,z): x,y,z\geq 0,5x+z\leq 8,z-2y\leq13,x-y-z\geq-3))\),
in matrix-vector form
\(\displaystyle \mathbf{Ax \leq b}\).
What I thought, is just make each equation in the set have the same inequality, and then put them in a matrix and a vector, as so
\(\displaystyle
\begin{pmatrix}
-1 &0 &0 \\
0 &-1 &0 \\
0 &0 &-1 \\
5 &0 &1 \\
0 &-2 &1 \\
-1 &1 &1
\end{pmatrix}\leq\begin{pmatrix}
0\\
0\\
0\\
8\\
13\\
-3\\
\end{pmatrix}\)
But this feels very wrong. Could anyone point me in the right direction?
Thanks
Here is the question
Write the feasible region for
\(\displaystyle C \subset R^{3} \), where
\(\displaystyle C=((x,y,z): x,y,z\geq 0,5x+z\leq 8,z-2y\leq13,x-y-z\geq-3))\),
in matrix-vector form
\(\displaystyle \mathbf{Ax \leq b}\).
What I thought, is just make each equation in the set have the same inequality, and then put them in a matrix and a vector, as so
\(\displaystyle
\begin{pmatrix}
-1 &0 &0 \\
0 &-1 &0 \\
0 &0 &-1 \\
5 &0 &1 \\
0 &-2 &1 \\
-1 &1 &1
\end{pmatrix}\leq\begin{pmatrix}
0\\
0\\
0\\
8\\
13\\
-3\\
\end{pmatrix}\)
But this feels very wrong. Could anyone point me in the right direction?
Thanks