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VARIANT – 8
1. Quyidagi masalani chiziqli programmalashning ikkilangan masalasiga keltiring va ikkilangan simpleks usul bilan yeching:




2. Berilgan transport masalaning boshlang’ich tayanch yechimini toping va yeching.

bj ai	120	80	50
130	1	7	8
70	6	1	1
50	7	6	1

3. Berilgan butun sonli programmalash masalasini grafik usulda yeching.

, - butun

4. Quyidagi


shartlar bajarilganda funksiyaning shartli ekstremumga ega bo’lgan nuqtasini toping va yeching.
5. Quyidagi kvadratik programmalash masalasining yechimlarini Kun—Takker teoremasining shartlaridan foydalanib toping va yeching.



VARIANT – 9
1. Quyidagi masalani chiziqli programmalashning ikkilangan masalasiga keltiring va ikkilangan simpleks usul bilan yeching:



2. Berilgan transport masalaning boshlang’ich tayanch yechimini toping va yeching.

bj ai	70	70	70
110	1	3	3
70	3	1	3
30	5	3	4