Minimize
​ $c = 2 x + y + 3 z$

Short Answer

Minimize
​ $c = 2 x + y + 3 z$ ​
subject to
​ $$\begin{aligned}x + y + z & \geq 50 \\2 x + y & \geq 10 \\y + z & \geq 10 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$ ​
If there is no solution, do not fill the fields.
​ $c =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________