Find the Minimum Value of the Objective Function and Where

Multiple Choice

Find the minimum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 16y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + y ≤ 12​ ​

A) Minimum at (0, 0) : 0
B) Minimum at (6, 0) : 49
C) Minimum at (0, 6) : 48
D) Minimum at (12, 0) : 192
E) Minimum at (0, 12) : 193