Minimize
​ $$c = 5.45 x + y + 1.5 z + w$$

Short Answer

Minimize
​ $$c = 5.45 x + y + 1.5 z + w$$ ​
subject to
​ $$\begin{aligned}5.12 x - y + w & \geq 1,500 \\z + w & \geq 3,000 \\1.12 x + y & \leq 500 \\x \geq 0 , y \geq 0 , z \geq 0 , w & \geq 0\end{aligned}$$ ​
If there is no solution, do not fill the fields.
​ $c =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________
​ $w ^ { \prime } =$ __________