Step-by-step explanation:
Draw the graph of 2x+y=12 ..... (i)
We get intersection of (i) with the coordinate axes at points (0,12) and (6,0)
Draw the graph of x+2y=12 ..... (ii)
We get the intersection of (ii) with the coordinate axes at points (06) and (120)
Draw the graph of 4x+5y=20 ..... (iii)
We get the intersection of (iii) with the coordinate axes at points (0,4) and (5,0)
Common shaded region is the feasible region with corner points (5,0),(6,0),(4,4),(0,6),(0,4)