РГР Логистика. РГР_М_1_. Решение задач линейного программирования в пакетах Mathcad и ms excel

• Название: Решение задач линейного программирования в пакетах Mathcad и ms excel
• Анкор: РГР Логистика
• Дата: 01.05.2021
• Размер: 1.5 Mb.
• Имя файла: РГР_М_1_.doc
• Тип: Решение; #200627
• страница: 2 из 7

Варианты заданий. Решить задачи ЛП в пакетах MathCAD и MS Excel.

1) 3x1 + 4x2 → max 6x1 + 11x2 ≤ 50 12x1 + 6x2 ≤ 54 6x1 − 3x2 ≥ 15 28x1 + 56x2 ≥ 112 x1, x2 ≥ 0.	2) 8x1 + 2x2 → max 22x1 + 7x2 ≤ 77 4x1 + 9x2 ≥ 18 15x1 + 10x2 ≤ 60 4x1 + 8x2 ≤ 16 x1, x2 ≥ 0.
3) 15x1 +13x2 → max 12x1 + 6x2 ≤ 32 8x1 ≤ 9 6x1 +14x2 ≤ 39 4x1 +15x2 ≤ 18 x1, x2 ≥ 0.	4) 12x1 + 4x2 → max 11x1 + 5x2 ≤ 31 7x1 ≤ 7 2x1 −16x2 ≥ 6 9x1 + 3x2 ≤ 38 x1, x2 ≥ 0.
5) 7x1 + 6x2 → max 16x1 − 2x2 ≤ 18 8x1 + 4x2 ≤ 20 13x1 + 3x2 ≤ 4 x1, x2 ≥ 0.	6) 7x1 + 5x2 → max 4x1 + 4x2 ≤ 26 3x1 − 16x2 ≥ −18 14x1 − 2x2 ≤ 10 18x1 + 16x2 ≤ 8 x1, x2 ≥ 0.
x1 + 3x2 → max −3x1 + 16x2 ≤ 32 5x1 + 6x2 ≤ 17 14x1 + 5x2 ≤ 30 4x1 + 4x2 ≤ 5 x1, x2 ≥ 0.	8) −2x1 → max 5x1 + 5x2 ≤ 39 −2x1 + 14x2 ≤ 5 2x1 − 12x2 ≥ 6 −x1 + 10x2 ≤ 6 x1, x2 ≥ 0.
4x1 + 7x2 → max 5x1 + 15x2 ≤ 16 2x1 + 3x2 ≥ −1 − x1 + 14x2 ≤ 7 − x1 + 4x2 ≥ 1 x1, x2 ≥ 0.	9x1 + 2x2 → max 11x1 +2x2 ≤ 42 −2x1 + 8x2 ≤ 19 14x1 + 6x2 ≤ 38 13x1 + 2x2 ≤ 26 x1, x2 ≥ 0.
11) 3x1 + 5x2 → max 15x1 + 10x2 ≤ 60 2x1 − 3x2 ≥ 1 28x1 + 56x2 ≥ 112 10x1 + 15x2 ≤ 45 x1, x2 ≥ 0.	12) 2x1 + 11x2 → max 16x1 + x2 ≤ 19 13x1 + 20x2 ≤ 14 10x1 + 6x2 ≤ 13 6x1 − 3x2 ≤ 6 x1, x2 ≥ 0.
13) 13x1 + 8x2 → max 9x1 + 3x2 ≤ 28 9x1 + 8x2 ≤ 35 x1 + 8x2 ≤ 40 2x1 + 7x2 ≤ 20 x1, x2 ≥ 0.	14) 5x1 + 9x2 → max 8x1 − 5x2 ≤ −3 −3x1 + 12x2 ≤ 42 2x1 + x2 ≤ 44 5x2 ≤ 11 x1, x2 ≥ 0.
15) x1 + 6x2 → max 14x1 + 21x2 ≤ 28 20x1 + 35x2 ≤ 70 12x1 − 9x2 ≥ 12 21x1 + 15x2 ≤ 75 x1, x2 ≥ 0.	16) 2x1 + 3x2 → max 8x1 + 9x2 ≤ 36 10x1 +14x2 ≥ 12 4x1 + 8x2 ≤ 16 6x1 − 3x2 ≤ 9 x1, x2 ≥ 0.
17) 2x1 + x2 → max 14x1 + 10x2 ≤ 23 2x1 + 8x2 ≤ 25 15x1 + 6x2 ≤ 32 18x1 − 5x2 ≤ 26 x1, x2 ≥ 0.	18) 5x1 + 6x2 → max 13x1 + 5x2 ≤ 18 3x1 + x2 ≤ 4 4x1 + 8x2 ≤ 10 2x1 +11x2 ≥ 6 x1, x2 ≥ 0.
19) 4x1 + x2 → max x1 + 5x2 ≤ 6 16x1 + 4x2 ≤ 12 10x1 + x2 ≤ 6 3x1 − 3x2 ≤ 43 x1, x2 ≥ 0.	20) 4x1 + 5x2 → max 9x1 ≤ 15 15x2 ≤ 6 −2x1 + 13x2 ≤ 31 2x1 + 3x2 ≤ 39 x1, x2 ≥ 0.
21) 7x1 + 2x2 → min 3x1 + 12x2 ≤ 30 10x1 + 3x2 ≤ 24 9x1 − 2x2 ≥ 12 11x1 + 24x2 ≥ 48 x1, x2 ≥ 0.	22) 3x1 + 2x2 → min 2x1 + 7x2 ≤ 17 4x1 + x2 ≥ 8 5x1 + 10x2 ≤ 20 3x1 + 5x2 ≤ 15 x1, x2 ≥ 0.
23) 5x1 + 7x2 → max 2x1 + 8x2 ≤ 24 6x1 ≤ 9 3x1 +10x2 ≤ 30 4x1 +12x2 ≤ 35 x1, x2 ≥ 0.	24) 9x1 + 4x2 → max 13x1 + 2x2 ≤ 22 4x1 ≤ 7 4x1 −10x2 ≥ 5 7x1 + 13x2 ≤ 38 x1, x2 ≥ 0.
25) 2x1 + 6x2 → max 11x1 − 4x2 ≤ 22 6x1 + 4x2 ≤ 21 3x1 + x2 ≤ 14 x1, x2 ≥ 0.	26) 3x1 + 2x2 → max 5x1 + 4x2 ≤ 16 3x1 − 10x2 ≥ −11 4x1 − 5x2 ≤ 10 3x1 + 10x2 ≤ 8 x1, x2 ≥ 0.
27) x1 + 7x2 → max −2x1 + 13x2 ≤ 26 4x1 + 9x2 ≤ 28 12x1 + 5x2 ≤ 32 x1 + 2x2 ≤ 5 x1, x2 ≥ 0.	28) 3x1 → max 7x1 + 5x2 ≤ 29 −4x1 + 12x2 ≤ 5 2x1 − 9 x2 ≥ 6 −x1 + 13x2 ≤ 7 x1, x2 ≥ 0.
29) 4x1 + 7x2 → max 5x1 + 15x2 ≤ 16 2x1 + 3x2 ≥ −1 − x1 + 14x2 ≤ 7 − x1 + 4x2 ≥ 1 x1, x2 ≥ 0.	30) 3x1 + 2x2 → max 12x1 +7x2 ≤ 32 −4x1 + 8x2 ≤ 15 12x1 + 6x2 ≤ 38 10x1 + 2x2 ≤ 26 x1, x2 ≥ 0.