The Linear Programming Problem Has an Unusual Characteristic

question 24

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

• A) Maximum at (0.5, 1.5): 2
• B) The region determined by the constraints is unbounded. For this unbounded region, there is no maximum value of z.
• C) Maximum at (0, 1): 1
• D) Maximum at (0, 0): 0
• E) Maximum at (1.5, 0.5): 2

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