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 + 3y
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Constraints:
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x ? 0
y ? 0
x ? 10
x + y ? 7
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A.
The constraint x ? 10 is extraneous. Maximum at (0, 7): 21
B. ?
The constraint x ? 10 is extraneous. Maximum at (7, 7): 14
C.
The constraint x ? 10 is extraneous. Maximum at (7,0): -7
D. ?
The constraint x ? 10 is extraneous. Maximum at (0, 0): 0
E.
The constraint x ? 10 is extraneous. No maximum.
Answer: A
Mathematics
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