Find the minimum 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)Minimum at (0, 2): 10
B)Minimum at (4, 3): 31
C)Minimum at (0, 3): 11
D)Minimum at (3, 0): 12
E)Minimum at (0, 4): 20

Question

Find the minimum 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)Minimum at (0, 2): 10 
B)Minimum at (4, 3): 31 
C)Minimum at (0, 3): 11 
D)Minimum at (3, 0): 12 
E)Minimum at (0, 4): 20

Quizplus · Accepted Answer

The Answer of Find the minimum 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)Minimum at (0, 2): 10 
B)Minimum at (4, 3): 31 
C)Minimum at (0, 3): 11 
D)Minimum at (3, 0): 12 
E)Minimum at (0, 4): 20

Find the Minimum Value of the Objective Function and Where