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Select the Region Determined by the Constraints

Question 3

Multiple Choice

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 = 5x + 6y

Constraints:

X ≥ 0
Y ≥ 0
X + y ≥ 8
3x + 5y ≥ 30


A) 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 = 5x + 6y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + y ≥ 8 3x + 5y ≥ 30 ​ A)    No minimum B)    Minimum at (10,0) : 50 C)    Minimum at (8,0) : 49 D)    Minimum at (5,3) : 43 E)    Minimum at (0,8) : 48 No minimum
B) 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 = 5x + 6y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + y ≥ 8 3x + 5y ≥ 30 ​ A)    No minimum B)    Minimum at (10,0) : 50 C)    Minimum at (8,0) : 49 D)    Minimum at (5,3) : 43 E)    Minimum at (0,8) : 48 Minimum at (10,0) : 50
C) 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 = 5x + 6y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + y ≥ 8 3x + 5y ≥ 30 ​ A)    No minimum B)    Minimum at (10,0) : 50 C)    Minimum at (8,0) : 49 D)    Minimum at (5,3) : 43 E)    Minimum at (0,8) : 48 Minimum at (8,0) : 49
D) 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 = 5x + 6y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + y ≥ 8 3x + 5y ≥ 30 ​ A)    No minimum B)    Minimum at (10,0) : 50 C)    Minimum at (8,0) : 49 D)    Minimum at (5,3) : 43 E)    Minimum at (0,8) : 48 Minimum at (5,3) : 43
E) 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 = 5x + 6y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + y ≥ 8 3x + 5y ≥ 30 ​ A)    No minimum B)    Minimum at (10,0) : 50 C)    Minimum at (8,0) : 49 D)    Minimum at (5,3) : 43 E)    Minimum at (0,8) : 48 Minimum at (0,8) : 48

Correct Answer:

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