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

Z = 7x + y

Constraints:

X ≥ 0
Y ≥ 0
3x + y ≤ 15
4x + 3y ≤ 30

A)Maximum at (0,0): 0
B)Maximum at (5,0): 35
C)Maximum at (0,6): 46
D)Maximum at (6,3): 45
E)Maximum at (3,0): 21

Question

Find the maximum value of the objective function and where it occurs,subject to the constraints: ​
Objective function:
​
Z = 7x + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
3x + y ≤ 15
4x + 3y ≤ 30
​
A)Maximum at (0,0): 0
B)Maximum at (5,0): 35
C)Maximum at (0,6): 46
D)Maximum at (6,3): 45
E)Maximum at (3,0): 21

Quizplus · Accepted Answer

The Answer of Find the maximum value of the objective function and where it occurs,subject to the constraints: ​
Objective function:
​
Z = 7x + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
3x + y ≤ 15
4x + 3y ≤ 30
​
A)Maximum at (0,0): 0
B)Maximum at (5,0): 35
C)Maximum at (0,6): 46
D)Maximum at (6,3): 45
E)Maximum at (3,0): 21

Find the Maximum Value of the Objective Function and Where