Two Dimensional Simplex Algorithm Solver

Problem Description
+
(1)
+
(2)
+
(3)
+
(4)
+
(5)
+
maximize:(2)x1+(1)x2maximize : \left(2\right) x_{1} + \left(1\right) x_{2}
(eq. 1)(1)x1+(1)x2<=1\left(- 1\right) x_{1} + \left(1\right) x_{2} <= 1
(eq. 2)(1)x1+(2)x2<=8\left(1\right) x_{1} + \left(2\right) x_{2} <= 8
(eq. 3)(2)x1+(3)x2<=2\left(2\right) x_{1} + \left(- 3\right) x_{2} <= 2
(eq. 4)(1)x1+(0)x2<=0\left(- 1\right) x_{1} + \left(0\right) x_{2} <= 0
(eq. 5)(0)x1+(1)x2<=0\left(0\right) x_{1} + \left(- 1\right) x_{2} <= 0
Matrices & Variables
A
-1
1
1
2
2
-3
-1
0
0
-1
b
1
8
2
0
0
c = (2, 1)
Graph
Start Selection; B = (, )