Grade 4: OR Section Term 2 Section 2 Linear Programming: Graphical method Youtube: https://youtu.be/aNu1JwD2aGE

1. By:
Zakaria Elsayed Hasaneen
Teaching Assistant at Faculty of Commerce
Accounting Department (English Section)
Kafrelsheikh University
OR
Section (2)
Graphic Solution of Linear Programming Problems
Grade 4 –Term 2
Zakaria Hasaneen
Zakaria Hasaneen
Zakaria Hasaneen

2. Graphic Solution of Linear Programming Problems

3. The straight (1) X1 + 2X2 = 100
(1) Transfer restrictions to equation as follows:
The straight (2) X1 + 5X2 = 150

4. (2) Determine of two points for each straight:

5. Can be drawn straight 1 and the straight 2:
3- The joint solution, an area ( A B C D ) shaded.
The objective function is tested at these points, ( A B C D )

6. - Extreme Points [Points (C)]
‫أنتاج‬ ‫سيتم‬ ‫اذن‬67‫و‬ ‫كرسي‬17‫ربح‬ ‫اكبر‬ ‫تحقيق‬ ‫اجل‬ ‫من‬ ‫طاولة‬(1335)‫المفروضة‬ ‫القيود‬ ‫ظل‬ ‫في‬.

8. (1) Transfer restrictions to equation as follows:
The straight (1) 2 X1 +3 X2 =24
The straight (2) 2 X1 + X2 =16
The straight (3) X1 =7
The straight (4) X2 =6

9. (2) Determine of two points for each straight:

10. (3)Can be drawn as follows:

11. (5)Find Extreme Points (C D E)
(4 )The joint solution, an area (A B C D E F) shaded

15. (1) Transfer restrictions to equation as follows:
Straight (1): 2X1 + 5X2 = 10
Straight (2): 4X1 - X2 = 12
Straight (3): X1 + X2 = 4

16. (2) Determine of two points for each straight: