BMT1014
TUTORIAL 4
Linear Programming
1) Find the graphical solution for each inequality
(a) 2 x + y  6
(b) 2 x + 10 y  20
(c) x − y  5
(d) x + 3 y  9
(e) 8 x + 2 y  16
(f) 5 x + 2 y  12
2) Determine graphically the solution set for each system of inequalities and indicate whether the
solution set is bounded or unbounded.
(a) x − y  0
2 x + 3 y  10
(b) 6 x + 7 y  84
12 x − 11 y  18
6 x − 7 y  28
x  0, y  0
(c) 5x + 2 y  60
2 x + y  25
x  0, y  0