A commercial bakery in Johor has three production lines that supply baked goods to three stores. The cost of shipment from each production line to each store (in per 1,000 pieces) is shown in the table below. [Sebuah kedai roti komersial di Johor mempunyai tiga barisan pengeluaran yang membekalkan barangan membakar kepada tiga kedai. Kos penghantaran dari setiap barisan pengeluaran ke setiap kedai (dalam setiap 1,000 keping) ditunjukkan dalam jadual di bawah.]

To From

Store 1 Store 2 Store 3 Factory Supply Factory W RM6 RM18 RM8 10,000 Factory Y RM17 RM13 RM19 6,000 Factory Z RM20 RM10 RM24 4,000 Store Demand 5,000 8,000 7, 000

.../4

SULIT

(SMP11403)

- 4 -

SULIT i) Calculate the total cost by using the Intuitive Lowest Cost approach to know the units should be shipped from each production line to each store so that the total costs are minimized. [Kira jumlah kos dengan menggunakan pendekatan Kos Terendah Intuitif untuk mengetahui unit harus dihantar dari setiap barisan pengeluaran ke setiap kedai supaya jumlah kos diminimumkan.]

(5 Marks/ Markah) b) The Donna Donni Clothing Group owns factories in three states (Kelantan, Perak, Kuala Lumpur), which distribute to three retail dress shops in three other states (Perlis, Pahang, and Terengganu). The following table summarizes factory availabilities, projected store demands, and unit shipping costs. The shipping cost vary, and would like to find the least cost way to meet the demands at each of the state. Perlis needs to receive 900 pieces, Pahang needs 850 pieces, and Terengganu needs 650 pieces. Kelantan has 500 pieces, Perak has 800, and Kuala Lumpur has 1100. [Kumpulan Pakaian Donna Donni memiliki kilang di tiga negeri (Kelantan, Perak, Kuala Lumpur), yang mengedarkan kepada tiga kedai pakaian runcit di tiga negeri lain (Perlis, Pahang, dan Terengganu). Jadual berikut meringkaskan ketersediaan kilang, unjuran permintaan kedai dan kos penghantaran unit. Kos penghantaran berbeza-beza, dan ingin mencari kos termurah untuk memenuhi permintaan di setiap negeri. Perlis perlu menerima 900 helai, Pahang memerlukan 850 helai, dan Terengganu memerlukan 650 helai. Kelantan mempunyai 500 helai, Perak mempunyai 800, dan Kuala Lumpur mempunyai 1100.]

TO

FROM

Perlis Pahang Terengganu Kelantan RM8 RM9 RM11 Perak RM12 RM7 RM5 Kuala Lumpur RM14 RM10 RM6

(i) Use the Northwest Corner Rule to develop an initial solution. [Gunakan Northwest Corner Rule untuk mengembangkan penyelesaian awal.]

(4 Marks/ Markah) (ii) Apply the Stepping-Stone Method to find the minimum transportation cost. [Aplikasikan Stepping-Stone Method untuk mencari kos pengangkutan yang minimum.] (8 Marks/ Markah)

(iii) Calculate the total cost for this situation. [Kirakan jumlah kos untuk keadaan ini.] (3 Marks/ Markah)