Linear programming (maximizing)

Hello, Yoodle15!

I have no idea how you got those ugly decimals . . .

Quote:

$\text{Minimize: }\:C \:=\: x + y$

$\text{Subject to the constraints: }\:\begin{Bmatrix}x +7y \:\ge\:1 \\ 11x + 2y \:\ge\:1 \\ x, y\:\ge\: 0\end{Bmatrix}$

$\text{The graph looks like this:}$

Code:

|:::::: |:::::::: Ro::::::::: |*::::::::: | *::::::::: | *::::::::: * *::::::::: | * *::::::::: | o:::::::::: | Q * *:::::::: | * *::::::: | * *::::::: - + - - - - * - - - o - - - - | P

$\text{The vertices are: }\:\begin{Bmatrix}P: &(1,0) \\ \\[-4mm] Q: & (\frac{2}{15},\frac{1}{15}) \\ \\[-4mm] R: & (0,\frac{1}{2}) \end{Bmatrix}$

$\text{Test them in the }C\text{-function.}$