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 = 8x + 7y

Constraints:

X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6

A) Maximum at (0,5): 35
B) Maximum at (5,0): 36
C) Maximum at (6,0): 48
D) Maximum at (4,1): 39
E) No maximum

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 = 8x + 7y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6
​
A)​ Maximum at (0,5): 35 
B)​ Maximum at (5,0): 36 
C)​ Maximum at (6,0): 48 
D)​ Maximum at (4,1): 39 
E)​ No maximum

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 = 8x + 7y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6
​
A)​ Maximum at (0,5): 35 
B)​ Maximum at (5,0): 36 
C)​ Maximum at (6,0): 48 
D)​ Maximum at (4,1): 39 
E)​ No maximum

Select the Region Determined by the Constraints