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 + 7y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + 3y ≤ 15
4x + y ≤ 16​ ​

A) Minimum at (3, 4) : 40
B) Minimum at (0, 0) : 0
C) Minimum at (0, 5) : 35
D) Minimum at (4, 3) : 37
E) Minimum at (4, 0) : 16