Solve the following LPP graphically :
Minimise subject to the constraints
Given: Constrains
Corner points A(0,8), B(2,4), C(10,0)
At point A(0,8)
At point B(2,4)
At point A(10,0)
Now to check whether the smallest value of z = 38 is the minimum value or not draw a plane 5x + 7y < 38.
This plane doesn't have any common point with the possible feasible region except (2, 4).
Hence the minimum value of z = 38 at x = 2 and y = 4.