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

Z = 10x + 4y

Constraints:

0 ≤ x ≤ 60
0 ≤ y ≤ 45
5x + 6y ≤ 420

A)Minimum at (0,0): 0
B)Minimum at (60,20): 680
C)Minimum at (0,45): 180
D)Minimum at (60,0): 600
E)Minimum at (30,45): 480

Question

Find the minimum value of the objective function and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 10x + 4y
​
Constraints:
​
0 ≤ x ≤ 60
0 ≤ y ≤ 45
5x + 6y ≤ 420
​​  ​
A)Minimum at (0,0): 0 
B)Minimum at (60,20): 680 
C)Minimum at (0,45): 180 
D)Minimum at (60,0): 600 
E)Minimum at (30,45): 480

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 = 10x + 4y
​
Constraints:
​
0 ≤ x ≤ 60
0 ≤ y ≤ 45
5x + 6y ≤ 420
​​  ​
A)Minimum at (0,0): 0 
B)Minimum at (60,20): 680 
C)Minimum at (0,45): 180 
D)Minimum at (60,0): 600 
E)Minimum at (30,45): 480

Find the Minimum Value of the Objective Function and Where