The Linear Programming Problem Has an Unusual Characteristic

question 19

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 + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≤ 1
3x + y ≤ 6
​

• A)​ The constraint 3x + y ≤ 6 is extraneous.Minimum at (1,1): 9
• B)​ The constraint 3x + y ≤ 6 is extraneous.No minimum.
• C)​ The constraint 3x + y ≤ 6 is extraneous.Minimum at (1,0): 4
• D) The constraint 3x + y ≤ 6 is extraneous.Minimum at (0,0): 0
• E)​ The constraint 3x + y ≤ 6 is extraneous.Minimum at (0,1): 5

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