The Linear Programming Problem Has an Unusual Characteristic

question 204

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 maximum value of the objective function (if possible) and where it occurs. ​
Z = 3x + 4y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≤1
3x + y ≤ 6
​

• A)​ The constraint 3x + y ≤ 6 is extraneous. Maximum at (1, 1): 7
• B)​ The constraint 3x + y ≤ 6 is extraneous. Maximum at (1, 0): 3
• C)​ The constraint 3x + y ≤ 6 is extraneous. Maximum at (0, 1): 4
• D)​ The constraint 3x + y ≤ 6 is extraneous. Maximum at (0, 0): 0
• E)​ The constraint 3x + y ≤ 6 is extraneous. No maximum.

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