Find the maximum 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)Maximum at (3,0): 12
B)Maximum at (3,4): 32
C)Maximum at (4,3): 31
D)Maximum at (0,4): 20
E)Maximum at (0,2): 10

Question

Find the maximum 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)Maximum at (3,0): 12 
B)Maximum at (3,4): 32 
C)Maximum at (4,3): 31 
D)Maximum at (0,4): 20 
E)Maximum at (0,2): 10

Quizplus · Accepted Answer

The Answer is C

Find the Maximum Value of the Objective Function and Where