Inequality (x ≥ 0) represents the region on the right of y-axis and y-axis itself. Inequality y ≥ 0 represents the region above x-axis and x-axis itself.
2x + y ≤ 24, ....(1)
x + y ≥ 11,... (2)
2x + 5y ≤ 40,... (3)
We first draw the graph of lines
2x + y ≤ 24, x + y ≥ 11 and 2x + 5y ≤ 40
Now,
2x + y ≤ 24, passes through A(12,0) and B(0,24)
Again,
x + y ≥ 11, passes through C(11,0) and D(0,11)
Further 2x + 5y ≤ 40, passes through E(20,0) and F(0,8)
Shaded area PQAC is the solution area.
