1. 3.4 – Linear Programming

2. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

3. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

4. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

5. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

6. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

7. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

8. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

9. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

10. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

11. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

12. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y

13. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
(x, y)
x – y
f(x,y)

14. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
(x, y)
x – y
f(x,y)
(0.-4)
(3,5)
(3,-4)

15. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
(x, y)
x – y
f(x,y)
(0.-4)
0 – (-4) 4
(3,5)
(3,-4)

16. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
(x, y)
x – y
f(x,y)
(0.-4)
0 – (-4) 4
(3,5)
3 – 5 -2
(3,-4)

17. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
(x, y)
x – y
f(x,y)
(0.-4)
0 – (-4) 4
(3,5)
3 – 5 -2
(3,-4)
3 – (-4) 7

18. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
(x, y)
x – y
f(x,y)
(0.-4)
0 – (-4) 4
(3,5)
3 – 5 -2
(3,-4)
3 – (-4) 7

19. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
(x, y)
x – y
f(x,y)
(0.-4)
0 – (-4) 4
(3,5)
3 – 5 -2
(3,-4)
3 – (-4) 7
Max of (3,-4)

20. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
(x, y)
x – y
f(x,y)
(0.-4)
0 – (-4) 4
(3,5)
3 – 5 -2
(3,-4)
3 – (-4) 7
Max of (3,-4)

21. 3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
(x, y)
x – y
f(x,y)
(0.-4)
0 – (-4) 4
(3,5)
3 – 5 -2
(3,-4)
3 – (-4) 7
Max of (3,-4)
Min of (3,5)