BBMP1103 MATHEMATICS FOR MANAGEMENT MATEMATIK PENGURUSAN
ASSIGNMENT/ TUGASAN _________________________________________________________________________ BBMP1103 MATHEMATICS FOR MANAGEMENT MATEMATIK PENGURUSAN 1st SEMESTER 2024 SPECIFIC INSTRUCTION / ARAHAN KHUSUS 1. Answer in Malay or English. / Jawab dalam bahasa Melayu atau bahasa Inggeris. 2. Number of words : 2500 – 3000 words excluding references. / Jumlah patah perkataan : 2500 – 3000 patah perkataan tidak termasuk rujukan. 3. Submit your assignment ONCE only in a SINGLE file. / Hantar tugasan SEKALI sahaja dalam SATU fail. 4. Submit your assignment ONLINE. / Tugasan ini dihantar secara ONLINE. 5. Submission date : 17th July 2023. / Tarikh Penghantaran : 17hb Julai 2023. 6. This assignment accounts for 50% of the total marks for the course. / Tugasan ini menyumbang sebanyak 50% dari jumlah markah kursus. 1 ASSIGNMENT QUESTION Part I PURPOSE The purpose of this assignment is to develop learners’ ability to apply mathematics in management. REQUIREMENT You are required to solve all the questions. [Total: 40 marks] Part II ONLINE CLASS PARTICIPATION (10%) Discuss the following topic(s) in the forum and submit proof of your participation in the online discussions: 1. Is it possible for a quadratic function to have both minimum and maximum values? Explain by giving examples to support your answer. 2. Between linear and exponential functions, which one has the most rapid change in values? Give examples to support your answer. [Total: 10 marks] 2 SOALAN TUGASAN Bahagian I TUJUAN Tujuan tugasan ini adalah untuk membangunkan keupayaan pelajar mengaplikasikan matematik dalam pengurusan. KEPERLUAN Anda dikehendaki menyelesaikan semua soalan. [Jumlah: 40 markah] Bahagian II PERBINCANGAN KELAS DALAM TALIAN (10%) Bincangkan topik berkenaan di dalam forum dan hantar bukti penglibatan anda dalam perbincangan dalam talian. 1. Adakah terdapat kemungkinan satu-satu fungsi kuadratik untuk mempunyai keduadua nilai minimum dan maksimum? Terangkan dengan memberi contoh untuk menyokong jawapan anda. 2. Di antara fungsi linear dan eksponensial, yang mana satukah mempunyai perubahan nilai dengan kadar yang paling cepat? Berikan contoh untuk menyokong jawapan anda. [Jumlah: 10 markah] 3 QUESTION 1 a) Given two points A (3, -2) and B (6, 1). Find the equation of a straight line that passes through them and determine the perpendicular line that passes through point B. (5 marks) b) Which of the following equations is demand or supply equation? Then, find its breakeven quantity and price. p + 2q = 100 …(1) 35p – 20q = 350 …(2) (5 marks) c) A company produced a product A. The demand function for that product was p = 168 – 7q, where p is in unit price (RM) and q is the quantity demanded (units). i) Derive the revenue function ii) Determine the quantity in which the revenue is maximized. iii) What is the maximum value of generated revenue? (10 marks) (Total : 20 marks) QUESTION 2 Solve for x a) 3y – 4x = 160 for y = – 8 b) 4×2 + 16x – 20 = 0 c) 32×27 = 1 (10 marks) (Total : 10 marks) 4 QUESTION 3 a) RM X was deposited in a saving account at 3.4% interest compounded monthly. Thirty months later, RM 5,500 was withdrawn from the account and the balance was RM 27,157.58. Find the value of X and the interest earned. (6 marks) b) Era Bank offers 6.6% compounded semi-annually while AW Bank offers an interest of 6.35% compounded monthly. If Ahmad wants to invest his money, which bank would you suggest. Why? (4 marks) (Total : 10 marks) 5 SOALAN 1 a) Diberi dua titik iaitu A (3, -2) dan B (6, 1). Cari persamaan garis lurus yang melalui kedua-dua titik berkenaan dan tentukan persamaan garis serenjang yang melalui titik B. (5 markah) b) Yang mana satukah di antara persamaan berikut merupakan persamaan permintaan atau penawaran? Kemudian, cari kuantiti dan harga pulang modal. p + 2q = 100 …(1) 35p – 20q = 350 …(2) (5 markah) c) Sebuah syarikat menghasilkan produk A. Fungsi permintaan bagi produk berkenaan adalah p = 168 – 7q, di mana p di dalam unit harga (RM) dan q adalah kuantiti permintaan (unit). i) Dapatkan fungsi hasil. ii) Tentukan kuantiti apabila hasil dimaksimumkan. iii) Apakah nilai maksimum bagi hasil yang dijana? (10 markah) (Jumlah : 20 markah) SOALAN 2 Selesaikan a) 3y – 4x = 160 for y = – 8 b) 4×2 + 16x – 20 = 0 c) 32×27 = 1 (10 markah) (Jumlah : 10 markah) 6 SOALAN 3 a) RM X telah dideposit ke dalam akaun simpanan pada kadar faedah 3.4% yang dikompaun pada setiap bulan. Tiga-puluh bulan kemudian, RM 5,500 telah dikeluarkan daripada akaun tersebut dan baki yang tinggal adalah RM 27,157.58. Cari nilai X dan jumlah faedah yang diperolehi. (6 markah) b) Bank Era menawarkan faedah 6.6% yang dikompaun setiap setengah tahun, manakala Bank AW menawarkan kadar 6.35% faedah yang dikompaun setiap bulan. Jika Ahmad mahu melaburkan wangnya, Bank manakah akan anda cadangkan? Mengapa? (4 markah) (Jumlah : 10 markah) 7 Part II/Bahagian II (10%) *QN 1 Marks for the forum will be given based on the following rubric:/ Markah bagi perbincangan dalam talian diberi berdasarkan rubrik: Excellent/ Criteria/ Weightage Cemerlang CLO Kriteria / Pemberat 4 3 Quality of Postings Affective Domain (A2) 1,2 Kualiti Postings 2.5 Good/ Baik Fair/ Sederhana Poor/ Lemah Unsatisfactory/ Tidak memuaskan 3 2 1 0 All five comments Four of the Two or three of the are good, comments are good, comments are appropriate, appropriate, somewhat good, relevant, meaningful, relevant, meaningful, appropriate, and respectful. and respectful. meaningful and Postings reflect Postings reflect respectful. active participation participation within Postings show within assignment assignment timeline. relatively short timeline. participation time. One post submitted. OR All posts done in one day. OR None of the comments are good and relevant. OR Comments are short responses that are not substantial nor meaningful. Minimum effort (e.g. “I agree with Tina”) Postings done past assignment timeline. OR No postings given as proof of participation in discussion Kelima-lima komen baik, sesuai, relevan, bermakna dan berhemah. Postings mencerminkan penyertaan aktif sepanjang tempoh tugasan. Satu penghantaran Postings melepasi ATAU Semua tempoh tugasan. penghantaran dibuat ATAU Tiada dalam satu hari . Postings diberi ATAU Tiada komen sebagai bukti yang baik dan relevan. penyertaan dalam ATAU Komen hanya perbincangan respon yang ringkas dan tidak meluas dan tidak bermakna.Usaha minimum (Cth: “Saya bersetuju dengan Tina”) Empat komen baik, sesuai, relevan, bermakna dan berhemah. Postings mencerminkan penyertaan sepanjang tempoh tugasan. 8 Dua atau tiga komen baik, sesuai, relevan,bermakna dan berhemah Postings menunjukkan penyertaan dalam jangakamasa yang singkat. Max Marks 10 Total Marks/Jumlah Markah *QN = Question Number / *NS = Nombor Soalan 10 INSTRUCTIONS ON HOW TO SUBMIT PROOF OF ONLINE CLASS PARTICIPATION (10%) Do the following: 1. Select the best FIVE (5) of your postings from the forum discussion set up by your tutor. 2. Do screenshots of the postings and include them as images in your assignment. 3. The screenshots should be in image file (either in JPG or PNG format). Refer to the sample of Screen Grab below 4. The screenshots should contain: Name, Title of the discussion, Day, Date and Time. ARAHAN PENGHANTARAN BUKTI PENYERTAAN KELAS DALAM TALIAN (10%): Lakukan perkara berikut: 1. Pilih LIMA (5) posting anda yang terbaik daripada perbincangan forum yang ditetapkan dalam tugasan. 2. Lakukan screen shot posting dan isikan dalam bentuk imej di dalam fail tugasan anda. 3. Imej screen shot mesti dalam format imej (sama ada JPG atau PNG). Rujuk pada contoh screen shot di bawah. 4. Screen shot mesti mengandungi nama, tajuk perbincangan, hari, tarikh dan masa. 9 10
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