The Linear Programming Problem Has an Unusual Characteristic

question 23

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. ​
Objective function:
​
Z = x + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
-x + y ≤ 1
-x + 5y ≤ 7
​

• A) Minimum at (0,1): 1
• B) Minimum at (1.5,0.5): 2
• C) Minimum at (0.5,1.5): 2
• D)​ Minimum at (0,0): 0
• E) No minimum.

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