Find the Maximum Value of the Objective Function and Where $$z = x + 11 y$$

Short Answer

Find the maximum value of the objective function and where it occurs, subject to the constraints:
​
Objective function:
​ $$z = x + 11 y$$ ​
Constraints:
​ $\begin{aligned}x & \geq 0 \\y & \geq 0 \\x + 4 y & \leq 20 \\x + y & \leq 18 \\2 x + 2 y & \leq 21\end{aligned}$ ​