The Linear Programming Problem Has an Unusual Characteristic

question 45

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 + 3y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X ≤ 10
X + y ≤ 7
​

• A) The constraint x ≤ 10 is extraneous.Maximum at (0,7): 21
• B)​ The constraint x ≤ 10 is extraneous.Maximum at (7,7): 14
• C) The constraint x ≤ 10 is extraneous.Maximum at (7,0): -7
• D)​ The constraint x ≤ 10 is extraneous.Maximum at (0,0): 0
• E) The constraint x ≤ 10 is extraneous.No maximum.