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 = 5x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + 3y ≤ 15
4x + y ≤ 16
​​ ​

A) Maximum at (3, 4) : 47
B) Maximum at (4, 0) : 20
C) Maximum at (5, 0) : 44
D) Maximum at (0, 5) : 40
E) Maximum at (0, 0) : 0