1 / 21

Graphing Systems of Inequalities: Finding Vertices and Extreme Values

This exercise focuses on graphing a system of inequalities to identify the feasible region. Using the inequalities (y > -4x) and (y < 3x - 4), participants will graph these lines to visualize the constraints. The task involves finding the coordinates of the vertices of the feasible region and determining the maximum and minimum values of the given function (f(x, y) = x - y) within that region. The analysis not only enhances understanding of linear programming but also provides practical skills in optimizing functions.

breck
Télécharger la présentation

Graphing Systems of Inequalities: Finding Vertices and Extreme Values

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

  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

  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

  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

  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

  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

  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 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 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 Max of 7 @ (3,-4) Min of -2 @ (3,5)

More Related