Minimize
​ $c = 50 x + 11 y + 50 z$

Short Answer

Minimize
​ $c = 50 x + 11 y + 50 z$ ​
subject to
​ $$\begin{aligned}3 x + z & \geq 4 \\3 x + y - z & \geq 3 \\4 x + y - z & \leq 4 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$ ​
If there is no solution, do not fill the fields.
​ $c =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________