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The Linear Programming Problem Has an Unusual Characteristic

Question 34

Multiple Choice

The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. ​
Z = x + 3y

Constraints:

X ≥ 0
Y ≥ 0
X + 2y ≤ 4
2x + y ≤ 4


A) ​ The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. ​ Z = x + 3y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + 2y ≤ 4 2x + y ≤ 4 ​ A) ​   Minimum at (0,2) : 6 B) ​   Minimum at (2,0) : 2 C) ​   Minimum at (0,0) : 0 D) ​   Minimum at (2,2) : 8 E) ​   No minimum Minimum at (0,2) : 6
B) ​ The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. ​ Z = x + 3y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + 2y ≤ 4 2x + y ≤ 4 ​ A) ​   Minimum at (0,2) : 6 B) ​   Minimum at (2,0) : 2 C) ​   Minimum at (0,0) : 0 D) ​   Minimum at (2,2) : 8 E) ​   No minimum Minimum at (2,0) : 2
C) ​ The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. ​ Z = x + 3y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + 2y ≤ 4 2x + y ≤ 4 ​ A) ​   Minimum at (0,2) : 6 B) ​   Minimum at (2,0) : 2 C) ​   Minimum at (0,0) : 0 D) ​   Minimum at (2,2) : 8 E) ​   No minimum Minimum at (0,0) : 0
D) ​ The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. ​ Z = x + 3y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + 2y ≤ 4 2x + y ≤ 4 ​ A) ​   Minimum at (0,2) : 6 B) ​   Minimum at (2,0) : 2 C) ​   Minimum at (0,0) : 0 D) ​   Minimum at (2,2) : 8 E) ​   No minimum Minimum at (2,2) : 8
E) ​ The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. ​ Z = x + 3y ​ Constraints: ​ X ≥ 0 Y ≥ 0 X + 2y ≤ 4 2x + y ≤ 4 ​ A) ​   Minimum at (0,2) : 6 B) ​   Minimum at (2,0) : 2 C) ​   Minimum at (0,0) : 0 D) ​   Minimum at (2,2) : 8 E) ​   No minimum No minimum

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