Page 149 - ADVANCED MATH F.5

Form Five Form Five

9. From
To A B

P 70 0
1
FOR ONLINE READING ONLY
P 90 30
2
Minimum Transportation cost is Tshs 40,600

10. A B C

Warehouse 1 50 150 0
Warehouse 2 100 0 200

The minimum cost is Tshs 236,000

11. (a) The objective function is Min z = (40x + 20 ) 45200y +
(b) Inequalities associated to the transportation problems are
xy+ ≤ 160
xy+ ≥ 50 (c) The problem is not balanced
x ≤ 70 since total supply from sources is
y ≤ 120 not equal to the total demand.
x ≥ 0, y ≥ 0

12. (a) Min f = 400x + 240y + 5120000
Subject to : x ≤ 4000
y ≤ 3 000

y
x +≥ 6000
y
x +≤ 4000
x ≥ 0, y ≥ 0
(b) The problem is balanced since total demand is equal to total
supply. That is;
Total supply is 6000 + 3000 = 9000 bricks.
Total demand is 4000 + 3000 + 2000 = 9000 bricks.

143
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:36
ADVANCED MATH F.5 TG CHAPTERS.indd 143
ADVANCED MATH F.5 TG CHAPTERS.indd 143 30/06/2024 18:02:36