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.

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. ​
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.

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. ​
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.

The Linear Programming Problem Has an Unusual Characteristic