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.
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Objective function:
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z = x + y
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Constraints:
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          x ? 0
          y ? 0
   -x + y ? 1
 -x + 5y ? 7
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A.

Maximum at (0.5, 1.5): 2


B.

The region determined by the constraints is unbounded. For this unbounded region, there is no maximum value of z.


C.

Maximum at (0, 1): 1


D.

Maximum at (0, 0): 0


E.

Maximum at (1.5, 0.5): 2



Answer: B

Mathematics

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