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

Z = 5x + 4y

Constraints:

X ≥ 0
Y ≥ 0
X + y ≤ 5

A)Minimum at (5, 0): 26
B)Minimum at (0, 5): 21
C)Minimum at (0, 0): 0
D)Minimum at (0, 5): 25
E)Minimum at (5, 0): 20

Question

Find the minimum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 5x + 4y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≤ 5​
​​  ​
A)Minimum at (5, 0): 26 
B)Minimum at (0, 5): 21 
C)Minimum at (0, 0): 0 
D)Minimum at (0, 5): 25 
E)Minimum at (5, 0): 20

Quizplus · Accepted Answer

The Answer is C

Find the Minimum Value of the Objective Function and Where