What is the suitable method to solve this problem? [Apakah kaedah yang sexuai untuk menyelesaikan masalah ini?) Compute the average time that customers must wait before their calls are transferred to the clerk. |Kirakan purata masa pelanggan perlu menunggu sebelum panggilan dipindahkan kepada kerani.

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Question 3
[Soalan 31
Jeruk Pak Abu's Store in Butterworth, Pulau Pinang, maintains a successful
catalog sales department in which a clerk takes orders by telephone. If the clerk is
occupied on one line, incoming phone calls to the catalog department are
answered automatically by a recording machine and asked to wait. As soon as the
clerk is free, the party who has waited the longest is transferred and serviced first.
Calls come in at a rate of about 12 per hour. The clerk can take an order in an
average of 4 minutes. Calls tend to follow a Poisson distribution, and service
times tend to be negative exponential. The cost of the clerk is RM10 per hour, but
because of lost good -will and sales, Jeruk Pak Abu's Store loses about RM25 per
hour of customer time spent waiting for the clerk to take an order.
[Kedai Jeruk Pak Abu di Butterworth, Pulau Pinang, mempunyai bahagian penjualan katalog
yang berjaya di mana seorang kerani mengambil pesanan melalui telefon. Sekiranya kerani itu
sibuk pada satu talian, panggilan telefon masuk ke bahagian katalog dijawab secara automatik
oleh mesin rakaman dan diminta untuk menunggu. Sebaik sahaja kerani itu lapang, pihak yang
telah menunggu paling lama dipindahkan dan diservis terlebih dahulu. Panggilan masuk pada
kadar sekitar 12 setiap jam. Kerani boleh membuat pesanan dalam purata 4 minit. Panggilan
cenderung mengikuti taburan Poisson, dan waktu perkhidmatan cenderung eksponensial negatif.
Kos kerani adalah RM10 sejam, tetapi kerana kehendak dan penjualan yang hilang, Kedai Jeruk
Pak Abu kehilangan kira-kira RM25 sejam masa pelanggan menghabiskan masa menunggu kerani
mengambil pesanan.]
(a)
i)
What is the suitable method to solve this problem?
[Apakah kaedah yang sexuai untuk menyelesaikan masalah ini?}
ii)
Compute the average time that customers must wait before their calls are
transferred to the clerk.
|Kirakan purata masa pelanggan perlu menunggu sebelum panggilan dipindahkan
kepada kerani.
SULIT
SULIT
(BFT114)
- 5-
iii)
Prepare the total cost for this waiting line system.
(Sediakan jumlah kos keseluruhan bagi sistem baris menunggu ini. I
Transcribed Image Text:Question 3 [Soalan 31 Jeruk Pak Abu's Store in Butterworth, Pulau Pinang, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 12 per hour. The clerk can take an order in an average of 4 minutes. Calls tend to follow a Poisson distribution, and service times tend to be negative exponential. The cost of the clerk is RM10 per hour, but because of lost good -will and sales, Jeruk Pak Abu's Store loses about RM25 per hour of customer time spent waiting for the clerk to take an order. [Kedai Jeruk Pak Abu di Butterworth, Pulau Pinang, mempunyai bahagian penjualan katalog yang berjaya di mana seorang kerani mengambil pesanan melalui telefon. Sekiranya kerani itu sibuk pada satu talian, panggilan telefon masuk ke bahagian katalog dijawab secara automatik oleh mesin rakaman dan diminta untuk menunggu. Sebaik sahaja kerani itu lapang, pihak yang telah menunggu paling lama dipindahkan dan diservis terlebih dahulu. Panggilan masuk pada kadar sekitar 12 setiap jam. Kerani boleh membuat pesanan dalam purata 4 minit. Panggilan cenderung mengikuti taburan Poisson, dan waktu perkhidmatan cenderung eksponensial negatif. Kos kerani adalah RM10 sejam, tetapi kerana kehendak dan penjualan yang hilang, Kedai Jeruk Pak Abu kehilangan kira-kira RM25 sejam masa pelanggan menghabiskan masa menunggu kerani mengambil pesanan.] (a) i) What is the suitable method to solve this problem? [Apakah kaedah yang sexuai untuk menyelesaikan masalah ini?} ii) Compute the average time that customers must wait before their calls are transferred to the clerk. |Kirakan purata masa pelanggan perlu menunggu sebelum panggilan dipindahkan kepada kerani. SULIT SULIT (BFT114) - 5- iii) Prepare the total cost for this waiting line system. (Sediakan jumlah kos keseluruhan bagi sistem baris menunggu ini. I
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