The Linear Programming Problem Has an Unusual Characteristic

question 20

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)​ 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

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