Question
Mathematics Question on Linear Programming Problem
Consider the linear programming problem:
Maximize z=10x+5y
subject to the constraints
2x+3y≤120
2x + y ≤ 60
x,y≥0.
Then the coordinates of the corner points of the feasible region are
A
(0, 0), (30, 0), (0, 40) and (15, 30)
B
(0, 0), (60, 0), (0, 40) and (15, 30)
C
(0, 0), (30, 0), (0, 60) and (15, 30)
D
(0, 0), (30, 0), (0, 40) and (30, 40)
E
(0, 0), (60, 0), (0, 40) and (30, 40)
Answer
(0, 0), (30, 0), (0, 40) and (15, 30)
Explanation
Solution
The correct option is (A) : (0, 0), (30, 0), (0, 40) and (15, 30)