Page 147 - ADVANCED MATH F.5

Form Five Form Five

9. From
To L 1 L 2

Msigwa 35,000 0
FOR ONLINE READING ONLY
Asha 45,000 15,000

Minimum cost is Tshs 1,015,000,000

Answers to Revision Exercise 7

1. (a) Min w = 1000 − x 4000 + y 3718000
(b) x 100 4. Min f = 15 + x 5 + y 3200000

y 100 Subject to : ≤x 25000
x +≥y 80 y ≤ 200
0 0
x +≤y 160 x +≥y 15000

x ≥ 0, y ≥ 0 x +≤y 40000

2. Min w = 21000x − 2200y + 1456700 x ≥ 0, y ≥ 0
Subject to : x ≤ 12000
y ≤ 15000 5. (a) 0 bags of groundnuts
x +≥ 2000 from T to M 1
y
1
y
x +≤ 20000 600 bags of groundnuts
1
x ≥ 0, y ≥ 0 from T to M 2
700 bags of groundnuts
3. Min f = 150 + x 170 + y 2872000 from T to M
x
Subject to : ≤ 3000 2 1
y ≤ 2400 (b) Minimum cost is 51,500
Tanzanian shillings
y
x +≥ 1600
x +≤ 4200
y
x ≥ 0, y ≥ 0

141
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:35
ADVANCED MATH F.5 TG CHAPTERS.indd 141
ADVANCED MATH F.5 TG CHAPTERS.indd 141 30/06/2024 18:02:35