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.
?
Objective function:
?
z = -x + 2y
?
Constraints:
?
      x ? 0
      y ? 0
      x ? 10
x + y ? 8
?

A. ?

The constraint x ? 10 is extraneous. Minimum at (0, 8): 16


B.

The constraint x ? 10 is extraneous. Minimum at (8, 0): -8


C.

The constraint x ? 10 is extraneous. No minimum.


D.

The constraint x ? 10 is extraneous. Minimum at (8, 8): 8


E.

The constraint x ? 10 is extraneous. Minimum at (0, 0): 0



Answer: B

Mathematics

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