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.

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 + 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.

Quizplus · Accepted Answer

The Answer of 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.

The Linear Programming Problem Has an Unusual Characteristic