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 + 5y
​
Constraints:
​
X ≥ 0
​3x - y ≤ 9
2x + 3y ≥ 6
X + 4y ≤ 16
​​ ​

A) Minimum at (0, 2) : 10
B) Minimum at (4, 3) : 31
C) Minimum at (0, 3) : 11
D) Minimum at (3, 0) : 12
E) Minimum at (0, 4) : 20