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Practice | SPM Add Math

SPM Additional Mathematics (KSSM)

Question
Bahasa Melayu
Jadual 5 menunjukkan jisim setiap bahan yang diperlukan bagi satu balang jem, bersama kos dan harga jualan, bagi dua jenis jem yang dihasilkan oleh sebuah kilang kecil dalam tempoh seminggu.
Jem Pulpa (kg) Gula (kg) Glukosa (kg) Kos sebalang (RM) Harga jualan sebalang (RM) Jenis A 0.3 0.1 0.05 18 40 Jenis B 0.1 0.2 0.05 15 30
Jadual 5

Dalam minggu itu, kilang tersebut mesti menggunakan sekurang-kurangnya 9 kg pulpa dan sekurang-kurangnya 8 kg gula, manakala jisim glukosa yang digunakan tidak boleh melebihi 3.5 kg.

Kilang itu menghasilkan $x$ balang jem Jenis A dan $y$ balang jem Jenis B. Selain $x \ge 0$ dan $y \ge 0$, tuliskan tiga ketaksamaan yang memodelkan keadaan di atas. Seterusnya, tentukan bilangan maksimum balang jem Jenis B yang boleh dihasilkan dalam minggu itu.

English
Table 5 shows the mass of each ingredient needed for one jar of jam, together with the cost and the selling price, for the two types of jam produced by a small factory in one week.
Jam Pulp (kg) Sugar (kg) Glucose (kg) Cost per jar (RM) Selling price per jar (RM) Type A 0.3 0.1 0.05 18 40 Type B 0.1 0.2 0.05 15 30
Table 5

In that week the factory must use at least 9 kg of pulp and at least 8 kg of sugar, while the mass of glucose used must not exceed 3.5 kg.

The factory produces $x$ jars of Type A jam and $y$ jars of Type B jam. Apart from $x \ge 0$ and $y \ge 0$, write down three inequalities that model the conditions above. Hence, determine the greatest number of jars of Type B jam that can be produced in that week.
[3 marks]
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Modelled on Selangor trial · Kertas 2 · Q15(a)

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Modelled on Selangor trial · Kertas 2 · Q15(a)

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Chapter 8
Systems of Equations
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