(b) The ABC Company manufactures two electrical products: air conditioners and water heaters. Each air conditioner takes 3 hours of wiring and 2 hours of assembling. Meanwhile, each water heater must go through 2 hours of wiring and 1 hour of assembling. During the next production period, 240 hours of wiring time are available and 140 hours of assembling may be used. Each air conditioner sold yields a profit of RM25. Each water heater sold for a RM15 profit. Calculate the best combination of air conditioners and heaters that yields highest profit using liner programming method.
(b) The ABC Company manufactures two electrical products: air conditioners and water heaters. Each air conditioner takes 3 hours of wiring and 2 hours of assembling. Meanwhile, each water heater must go through 2 hours of wiring and 1 hour of assembling. During the next production period, 240 hours of wiring time are available and 140 hours of assembling may be used. Each air conditioner sold yields a profit of RM25. Each water heater sold for a RM15 profit. Calculate the best combination of air conditioners and heaters that yields highest profit using liner programming method.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
Related questions
Topic Video
Question
![Question 1
[Soalan 1]
(a) Explain FIVE (5) examples of solving business problems using Linear
Programming (LP).
(Terangkan LIMA (5) contoh bagi menyelesaikan masalah-masalah perniagaan menggunakan
pengaturcaraan linear (LP).)
(b) The ABC Company manufactures two electrical products: air conditioners and
water heaters. Each air conditioner takes 3 hours of wiring and 2 hours of
assembling. Meanwhile, each water heater must go through 2 hours of wiring and 1
hour of assembling. During the next production period, 240 hours of wiring time
are available and 140 hours of assembling may be used. Each air conditioner sold
yields a profit of RM25. Each water heater sold for a RM15 profit. Calculate the
best combination of air conditioners and heaters that yields highest profit using
liner programming method.
(Syarikat ABC menghasilkan dua peralatan elektrik; penghawa dingin dan pemanas air. Bagi satu
penghawa dingin memerlukan 3 jam bagi proses pendawaian dan 2 jam untuk proses pemasangan.
Manakala, bagi sebuah pemanas air memerlukan 2 jam bagi proses pendawaian dan 1 jam bagi
proses pemasangan. Ketika masa pengeluaran seterusnya, terdapat 240 jam masa yang ada bagi
proses pendawaian dan 140 jam bagi proses pemasangan. Setiap unit bagi penghawa dingin
memberikan keuntungan sebanyak RM25. Setiap unit bagi penjualan pemanas air memberikan
keuntungan sebanyak RM15. Kirakan gabungan terbaik antara penghawa dingin dan pemanas air
bagi menghasilkan keuntungan yang tertinggi menggunakan kaedah pengaturcaraan linear.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f344525-ee88-4f63-83c1-857027649b79%2F6b756261-84f2-401c-b1d3-0da4e0fbb834%2Fseqb7l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
[Soalan 1]
(a) Explain FIVE (5) examples of solving business problems using Linear
Programming (LP).
(Terangkan LIMA (5) contoh bagi menyelesaikan masalah-masalah perniagaan menggunakan
pengaturcaraan linear (LP).)
(b) The ABC Company manufactures two electrical products: air conditioners and
water heaters. Each air conditioner takes 3 hours of wiring and 2 hours of
assembling. Meanwhile, each water heater must go through 2 hours of wiring and 1
hour of assembling. During the next production period, 240 hours of wiring time
are available and 140 hours of assembling may be used. Each air conditioner sold
yields a profit of RM25. Each water heater sold for a RM15 profit. Calculate the
best combination of air conditioners and heaters that yields highest profit using
liner programming method.
(Syarikat ABC menghasilkan dua peralatan elektrik; penghawa dingin dan pemanas air. Bagi satu
penghawa dingin memerlukan 3 jam bagi proses pendawaian dan 2 jam untuk proses pemasangan.
Manakala, bagi sebuah pemanas air memerlukan 2 jam bagi proses pendawaian dan 1 jam bagi
proses pemasangan. Ketika masa pengeluaran seterusnya, terdapat 240 jam masa yang ada bagi
proses pendawaian dan 140 jam bagi proses pemasangan. Setiap unit bagi penghawa dingin
memberikan keuntungan sebanyak RM25. Setiap unit bagi penjualan pemanas air memberikan
keuntungan sebanyak RM15. Kirakan gabungan terbaik antara penghawa dingin dan pemanas air
bagi menghasilkan keuntungan yang tertinggi menggunakan kaedah pengaturcaraan linear.]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning