Find the Maximum Value of the Objective Function and Where

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 2x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + y ≤ 12​ ​

A) Maximum at (6, 0) : 24
B) Maximum at (12, 0) : 97
C) Maximum at (0, 6) : 25
D) Maximum at (0, 12) : 96
E) Maximum at (0, 0) : 0