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

Z = 9x + 8y

Constraints:

X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6

A) Minimum at (0,5): 40
B) Minimum at (0,5): 41
C) Minimum at (4,1): 44
D) Minimum at (6,0): 54
E) No minimum

Question

Select the region determined by the constraints.Then find the minimum value of the objective function (if possible)and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 9x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6
​
A)​ Minimum at (0,5): 40 
B)​ Minimum at (0,5): 41 
C)​ Minimum at (4,1): 44 
D)​ Minimum at (6,0): 54 
E)​ No minimum

Quizplus · Accepted Answer

The Answer of Select the region determined by the constraints.Then find the minimum value of the objective function (if possible)and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 9x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6
​
A)​ Minimum at (0,5): 40 
B)​ Minimum at (0,5): 41 
C)​ Minimum at (4,1): 44 
D)​ Minimum at (6,0): 54 
E)​ No minimum

Select the Region Determined by the Constraints