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