Corner PointsCorresponding value of X=400x+200y(0,15)3000(5,5)3000(307,307)400×307+200××307=180007=2571.43 (minimum)
Referring to solution 12, we have minimise Z = 400x + 200y, subject to 5x+2y≥30.
2x+y≥15,x≤y,x≤0,y≤0,
On solving x - y = 0 and 5x + 2y = 30, we get
y=307,x=307
On solving x - y = 0 and 2x + y = 15, we get x = 5, y = 5
So, from the shaded feasible region it is clear that coordinates of corner points are (0, 15), (5, 5) and (307,307)
Hence, the minimum cost is Rs 2571.43.
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