Page 143 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 7.1

1. Min f = 6000 + x 5000 + y 25200000
Subject to : ≤x 1100 5. Min f = 500x + 1407500
FOR ONLINE READING ONLY
y ≤ 1200 S bu ject to : x ≤ 40
x +≥y 500 y ≤ 55
y
x +≤y 1500 x +≤ 80
y
x ≥ 0, y ≥ 0 x +≥ 30
x ≥ 0, y ≥ 0

2. Min w = 1200 + x 800 + y 1682000
Subject to : ≤x 60 6. Min f = − (30 10 ) 82000y+ +
y ≤ 60 Subject to : x ≤ 8

x +≤y 160 y ≤ 5
y
x +≥y 112 x +≥ 4
y
x ≥ , 0 y ≥ 0 x +≤ 6
x ≥ 0, y ≥ 0

3. Min w = − (2500x + 2000 ) 575000y +
S bu ject to : x ≤ 30 7. Min w = 4x + 2y + 11000

y ≤ 25 Subject to : x ≤ 2000
y
x + ≤ 40 y ≤ 1 050
y
y
x + ≥ 20 x +≥ 2000
y
x ≥ 0, y ≥ 0 x +≤ 3000
x ≥ 0, y ≥ 0
4. Min w = 25000x + 35000y + 2100000
S bu ject to : x ≤ 30 8. Min w = 1000x + 7000y + 190000
y ≤ 25 Subject to : x ≤ 5
y
x +≥ 10 y ≤ 5
y
y
x +≤ 50 x +≥ 4
x ≥ 0, y ≥ 0 x +≤ 8
y
x ≥ 0, y ≥ 0

137
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:35
ADVANCED MATH F.5 TG CHAPTERS.indd 137 30/06/2024 18:02:35
ADVANCED MATH F.5 TG CHAPTERS.indd 137