The Linear Programming Problem Has an Unusual Characteristic

question 47

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) 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.

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