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The Linear Programming Problem Has an Unusual Characteristic

Question 26

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 and maximum value of the objective function (if possible) and where it occurs. ​
Z = x + y

Constraints:

X ≥ 0
Y ≥ 0
-x + y ≤ 0
-5x + y ≥ 5


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 and maximum value of the objective function (if possible) and where it occurs. ​ Z = x + y ​ Constraints: ​ X ≥ 0 Y ≥ 0 -x + y ≤ 0 -5x + y ≥ 5 ​ A)    Minimum at (0,0) : 0 Maximum at (-1,0) : -1 B)    Minimum at (0,0) : 0 Maximum at (0,1) : 1 C)    Minimum at (-1,0) : -1 Maximum at (0,0) : 0 D)    Minimum at (0,1) : 1 Maximum at (0,0) : 0 E)    The feasible set is empty. Minimum at (0,0) : 0
Maximum at (-1,0) : -1
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 and maximum value of the objective function (if possible) and where it occurs. ​ Z = x + y ​ Constraints: ​ X ≥ 0 Y ≥ 0 -x + y ≤ 0 -5x + y ≥ 5 ​ A)    Minimum at (0,0) : 0 Maximum at (-1,0) : -1 B)    Minimum at (0,0) : 0 Maximum at (0,1) : 1 C)    Minimum at (-1,0) : -1 Maximum at (0,0) : 0 D)    Minimum at (0,1) : 1 Maximum at (0,0) : 0 E)    The feasible set is empty. Minimum at (0,0) : 0
Maximum at (0,1) : 1
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 and maximum value of the objective function (if possible) and where it occurs. ​ Z = x + y ​ Constraints: ​ X ≥ 0 Y ≥ 0 -x + y ≤ 0 -5x + y ≥ 5 ​ A)    Minimum at (0,0) : 0 Maximum at (-1,0) : -1 B)    Minimum at (0,0) : 0 Maximum at (0,1) : 1 C)    Minimum at (-1,0) : -1 Maximum at (0,0) : 0 D)    Minimum at (0,1) : 1 Maximum at (0,0) : 0 E)    The feasible set is empty. Minimum at (-1,0) : -1
Maximum 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 and maximum value of the objective function (if possible) and where it occurs. ​ Z = x + y ​ Constraints: ​ X ≥ 0 Y ≥ 0 -x + y ≤ 0 -5x + y ≥ 5 ​ A)    Minimum at (0,0) : 0 Maximum at (-1,0) : -1 B)    Minimum at (0,0) : 0 Maximum at (0,1) : 1 C)    Minimum at (-1,0) : -1 Maximum at (0,0) : 0 D)    Minimum at (0,1) : 1 Maximum at (0,0) : 0 E)    The feasible set is empty. Minimum at (0,1) : 1
Maximum at (0,0) : 0
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 and maximum value of the objective function (if possible) and where it occurs. ​ Z = x + y ​ Constraints: ​ X ≥ 0 Y ≥ 0 -x + y ≤ 0 -5x + y ≥ 5 ​ A)    Minimum at (0,0) : 0 Maximum at (-1,0) : -1 B)    Minimum at (0,0) : 0 Maximum at (0,1) : 1 C)    Minimum at (-1,0) : -1 Maximum at (0,0) : 0 D)    Minimum at (0,1) : 1 Maximum at (0,0) : 0 E)    The feasible set is empty. The feasible set is empty.

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