1. 3.4 – Linear Programming

2. 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 – yf(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 – yf(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 – yf(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 – yf(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 – yf(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 – yf(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 – yf(x,y)f(x,y) (0.-4)0 – (-4)4 (3,5)3 – 5-2 (3,-4)3 – (-4)7 Max of 7 @ (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 – yf(x,y)f(x,y) (0.-4)0 – (-4)4 (3,5)3 – 5-2 (3,-4)3 – (-4)7 Max of 7 @ (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 – yf(x,y)f(x,y) (0.-4)0 – (-4)4 (3,5)3 – 5-2 (3,-4)3 – (-4)7 Max of 7 @ (3,-4)Min of -2 @ (3,5)