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 = 9x + 5y
​
Constraints:
​
0 ≤ x ≤ 60
0 ≤ y ≤ 45
5x + 6y ≤ 420​ ​

A) Maximum at (0, 45) : 225
B) Maximum at (0, 0) : 0
C) Maximum at (30, 45) : 495
D) Maximum at (60, 20) : 640
E) Maximum at (60, 0) : 540