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 = 4x + 3y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≤ 4​
​​ ​

A) Maximum at (4, 0) : 17
B) Maximum at (0, 4) : 12
C) Maximum at (0, 0) : 0
D) Maximum at (4, 0) : 16
E) Maximum at (0, 4) : 13