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 minimum value of the objective function (if possible) and where it occurs.
?
z = x + y
?
Constraints:
?
x ? 0
y ? 0
x + y ? 1
3x + y ? 6
?
A. ?
The constraint 3x + y ? 6 is extraneous. Minimum at (1, 1): 9
B. ?
The constraint 3x + y ? 6 is extraneous. No minimum.
C. ?
The constraint 3x + y ? 6 is extraneous. Minimum at (1, 0): 4
D.
The constraint 3x + y ? 6 is extraneous. Minimum at (0, 0): 0
E. ?
The constraint 3x + y ? 6 is extraneous. Minimum at (0, 1): 5
Answer: D
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