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

Question

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

Quizplus · Accepted Answer

The solution region is unbounded, as there is no finite maximum value of Z for this problem.

The Linear Programming Problem Has an Unusual Characteristic