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 and maximum value of the objective function (if possible) and where it occurs.
?
z = x + y
?
Constraints:
?
           x ? 0
           y ? 0
   -x + y? 0
 -5x + y ? 5
?

A.

Minimum at (0, 0): 0

Maximum at (-1,0): -1


B.

Minimum at (0, 0): 0

Maximum at (0, 1): 1


C.

Minimum at (-1, 0): -1

Maximum at (0, 0): 0


D.

Minimum at (0, 1): 1

Maximum at (0, 0): 0


E.

The feasible set is empty.



Answer: E

Mathematics

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