Find the corner points for the set of feasible solutions for the constraints given in problem.
A) ( 0, 0 ), ( 7, 0 ), ( 0, 6 ), ( 4, 3 ), ( 13, 1 )
B) ( 7, 0 ), ( 0, 6 ), ( 4, 3 )
C) ( 13, 1 ), ( 7, 0 ), ( 0, 6 ), ( 4, 3 )
D) ( 0, 0 ), ( 8, 0 ), ( 0, 7 ), ( 4, 3 )
E) ( 0, 0 ), ( 7, 0 ), ( 0, 6 ), ( 4, 3 )

Question

Find the corner points for the set of feasible solutions for the constraints given in problem. ​  ​
A) ( 0, 0 ), ( 7, 0 ), ( 0, 6 ), ( 4, 3 ), ( 13, 1 ) 
B) ( 7, 0 ), ( 0, 6 ), ( 4, 3 ) 
C) ( 13, 1 ), ( 7, 0 ), ( 0, 6 ), ( 4, 3 ) 
D) ( 0, 0 ), ( 8, 0 ), ( 0, 7 ), ( 4, 3 ) 
E) ( 0, 0 ), ( 7, 0 ), ( 0, 6 ), ( 4, 3 )

Quizplus · Accepted Answer

The corner points are the intersections of the boundary lines of the feasible region. Solving the system of equations for each pair of lines, we get the following intersection points:
- (0,0) at the origin where x=0 and y=0
- (7,0) at the point where 2x+y=14 and x=7
- (0,6) at the point where x+2y=12 and y=6
- (4,3) at the point where 2x+y=10 and x+y=7
- (13,1) at the point where 2x+y=15 and 3x+y=28

Out of these five points, only the points (0,0), (7,0), (0,6), and (4,3) are the vertices of the feasible region. Therefore, the best choice is E.

Find the Corner Points for the Set of Feasible Solutions