SOLUTION: Which point is not a corner of the feasible region of the system of inequalities x + 2y (is less or equal to) 10 3x + y (is less or equal to) 10 x (is more or equal to) 0,

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Question 85262: Which point is not a corner of the feasible region of the system of inequalities

x + 2y (is less or equal to) 10
3x + y (is less or equal to) 10
x (is more or equal to) 0, y (is more or equal to) 0

A. (10/3, 0)
B. (2,4)
C. (0,5)
D. (10,0)
Answer by scianci(186) About Me  (Show Source):
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Graph the constraints:
graph%28300%2C200%2C0%2C10%2C0%2C10%2C%2810-x%29%2F2%2C10-3x%29
The region between the x and y-axes and the edge lines constitute the feasibility region. The corner points are (0 , 0) , (0 , 5) , (2 , 4) and (10%2F3 , 0). Therefore the answer is D.