Find the Maximum Value of the Objective Function and Where $z = 2 x - 4 y$

Multiple Choice

Find the maximum value of the objective function and where it occurs, if one exists. Objective function: $z = 2 x - 4 y$ Constraints: $\begin{aligned}x & \geq 0 \\y & \geq 0 \\- x + y & \leq 1 \\- 5 x + y & \geq 5\end{aligned}$

A) The solution region is empty. There is no maximum value.
B) The maximum value is 2 and occurs at $( 1,0 )$
C) The maximum value is -4 and occurs at $( 0,1 )$
D) The maximum value is -20 and occurs at $( 0,5 )$
E) The maximum value is 10 and occurs at $( 5,0 )$