Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs, subject to the indicated constraints.
Objective function:

Z = 3x + 2y

Constraints:

X ≥ 0
y ≥ 0
5x + 2y ≤ 20
5x + y ≥ 10

A) Maximum at (0, 10): 20
B) Maximum at (2, 0): 6
C) Maximum at (10, 0): 13
D) Maximum at (0, 4): 7
E) Maximum at (4, 0): 12

Question

Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 3x + 2y
​
Constraints:
​
X ≥ 0
​y ≥ 0
5x + 2y ≤ 20
5x + y ≥ 10
​
​
A) Maximum at (0, 10): 20 
B) Maximum at (2, 0): 6 
C)​ Maximum at (10, 0): 13 
D)​ Maximum at (0, 4): 7 
E)​ Maximum at (4, 0): 12

Quizplus · Accepted Answer

The Answer of Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 3x + 2y
​
Constraints:
​
X ≥ 0
​y ≥ 0
5x + 2y ≤ 20
5x + y ≥ 10
​
​
A) Maximum at (0, 10): 20 
B) Maximum at (2, 0): 6 
C)​ Maximum at (10, 0): 13 
D)​ Maximum at (0, 4): 7 
E)​ Maximum at (4, 0): 12

Select the Region Determined by the Constraints