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 constraints: ​
Objective function:
​
Z = 4x + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
3x + y ≤ 15
4x + 3y ≤ 30
​

A) Minimum at (3,0) : 12
B) Minimum at (0,6) : 28
C) Minimum at (3,6) : 18
D) Minimum at (0,0) : 0
E) Minimum at (6,3) : 27