Page 200 - Mathematics_Form_3

Answers

2. Tshs 306,600; (28, 0) 4. (a) 0 machine of type A, 11
3. Tshs 167,700; (6, 6) machines of type B
4. Tshs 550,000; (10,0 ) (c) Tshs 220,000
5. 3 items of A and 7 items of B.
5. Tshs 352,500; (150, 150)
FOR ONLINE READING ONLY
6. Tshs 20,000; (0 tables, 5 chairs) 6. 2 cups of coffee, 4 cups of tea
7. Tshs 15,840,000; (180, 360) 7. 5 hectares

8. Tshs 11,521,000; (150, 400) 8. 8 tables, 6 chairs

9. Tshs 22,857,142.9 (142.86, 0) 9. (11, 7); Tshs 260,000
10. 16 hectares; (6, 10) or (0, 16) 10. 1 hour on aerobics, 30 minutes on
flexibility; 570 calories
11. Greatest number is 11 at (7, 4) or 11. (a) 100 grams of A and
(8, 3)
10 grams of B
12. (a) 6 hectares (b) Tshs 46,000
(b) 4 hectares of wheat, 12. (a)
2 hectares of maize
y
13. (a) Min f ( ,f ( ,xy ) 24000xy = x + 18000+ 8
Min
18000y y
) 24000x=
Subject to: 3x + 9y ≥ 204 7
6
12x + 15y ≥ 690 x+y=7
5
12x + 3y ≥ 330 4 x+2y=8
(b) Tshs 1,020,000 at (20, 30) 3 x=2y
2
14. (Food 1, Food 2) = (2, 3)
1
Feasible region
15. (50, 50) y=0 1 2 3 4 5 6 7 7 8 8 x
-1 0
-1
Revision exercise 3
(b) Tshs 63,500
)
1. (a) Max f ( ,xy = 4000x + 6000y 13. 2 hectares of maize, 7 hectares of Mathematics for Secondary Schools
Subject to: 2x + 3y ≤ 60 millet; Tshs 4,350,000
2x +≤ 40 14. (a) 5 male goats and 12 female
y
x ≥ 0, y ≥ 0 goats

(b) (Alpha, Beta) = (15, 10) or (0, 20) (b) 17 goats
(c) 20 15. 30 cakes
2. (6, 6); Tshs 480,000 16. 120 kg of nitrogen, 40 kg of
3. (2, 2); Tshs 700,000 phosphoric acid; Tshs 92,000

Student\s Book Form Three 193

18/09/2025 10:00:14
MATHEMATIC F3 SB.indd 193 18/09/2025 10:00:14
MATHEMATIC F3 SB.indd 193