Find the feasible solution of following inequations

x+ 4y ≤ 24; 3x +y ≤21 ; x+ y ≤9;

x≥0 and y≥0

find the feasible solution 3x +4y ≥12; 4x +7y≤28

y≥1, x≥0

SOLUTION 1)

The given inequations are

x+ 4y ≤ 24............(i)  

3x +y ≤21 ..........(ii)

x+ y ≤9............(iii)    

x≥0 and y≥0

The shaded portion is the feasible solution.

SOLUTION 2) 

The given inequations are

3x +4y ≥12..........(i)

4x +7y≤28...........(ii)

y≥1......................(iii)

x≥0