Find the maximum value of the objective function and where it occurs,subject to the indicated constraints.
Objective function:

Z = 2x + 8y

Constraints:

X ≥ 0
Y ≥ 0
2x + y ≤ 12
A)Maximum at (6,0): 24
B)Maximum at (12,0): 97
C)Maximum at (0,6): 25
D)Maximum at (0,12): 96
E)Maximum at (0,0): 0

Question

Find the maximum value of the objective function and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 2x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + y ≤ 12​  ​
A)Maximum at (6,0): 24 
B)Maximum at (12,0): 97 
C)Maximum at (0,6): 25 
D)Maximum at (0,12): 96 
E)Maximum at (0,0): 0

Quizplus · Accepted Answer

The Answer of Find the maximum value of the objective function and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 2x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + y ≤ 12​  ​
A)Maximum at (6,0): 24 
B)Maximum at (12,0): 97 
C)Maximum at (0,6): 25 
D)Maximum at (0,12): 96 
E)Maximum at (0,0): 0

Find the Maximum Value of the Objective Function and Where