Question

Garlin manages an online retailer that makes and sells two kinds of stereos, the Boomer and the XL2000. Each Boomer takes 8 hours to create the plastic parts, 6 hours to create the electronics, and 8 hours for assembly. Each XL2000 requires 3 hours to create the plastic parts, 3 hours to create the electronics, and 9 hours for assembly. The factory can handle a maximimum of 3120 hours to create the plastic parts, 2388 hours to create the electronics, and 4014 hours for assembly each week. If each Boomer generates $7 in profit, and each XL2000 generates $14, how many of each of the stereos should Garlin have the online retailer make and sell each week to earn the most profit? Boomer: XL2000: Best profit:

          Garlin manages an online retailer that makes and sells two kinds of stereos, the Boomer and the XL2000. Each Boomer takes 8 hours to create the plastic parts, 6 hours to create the electronics, and 8 hours for assembly. Each XL2000 requires 3 hours to create the plastic parts, 3 hours to create the electronics, and 9 hours for assembly. The factory can handle a maximimum of 3120 hours to create the plastic parts, 2388 hours to create the electronics, and 4014 hours for assembly each week. If each Boomer generates $7 in profit, and each XL2000 generates $14, how many of each of the stereos should Garlin have the online retailer make and sell each week to earn the most profit?
Boomer:
XL2000:
Best profit:
        
Show more…
Garlin manages an online retailer that makes and sells two kinds of stereos, the Boomer and the XL2000. Each Boomer takes 8 hours to create the plastic parts, 6 hours to create the electronics, and 8 hours for assembly. Each XL2000 requires 3 hours to create the plastic parts, 3 hours to create the electronics, and 9 hours for assembly. The factory can handle a maximimum of 3120 hours to create the plastic parts, 2388 hours to create the electronics, and 4014 hours for assembly each week. If each Boomer generates 7 in profit, and each XL2000 generates14, how many of each of the stereos should Garlin have the online retailer make and sell each week to earn the most profit?
Boomer:
XL2000:
Best profit:

Added by Samantha T.

Close

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Garlin manages an online retailer that makes and sells two kinds of stereos, the Boomer and the XL2000. Each Boomer takes 8 hours to create the plastic parts, 6 hours to create the electronics, and 8 hours for assembly. Each XL2000 requires 3 hours to create the plastic parts, 3 hours to create the electronics, and 9 hours for assembly. The factory can handle a maximum of 3120 hours to create the plastic parts, 2388 hours to create the electronics, and 4014 hours for assembly each week. If each Boomer generates $7 in profit, and each XL2000 generates $14, how many of each of the stereos should Garlin have the online retailer make and sell each week to earn the most profit? Boomer: XL2000: Best profit:
Close icon
Play audio
Feedback
Powered by NumerAI
Kathleen Carty David Collins
Ivan Kochetkov verified

Madhur L and 54 other subject Algebra educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
angeline-manages-a-store-that-sells-cell-phones-each-thumper-takes-6-hours-to-create-the-plastic-pieces-2-hours-to-create-the-electronics-and-22-hours-of-labor-to-assemble-the-final-product-51399

Angeline manages a store that sells cell phones. Each Thumper takes 6 hours to create the plastic pieces, 2 hours to create the electronics, and 22 hours of labor to assemble the final product. Each XL2000 requires 3 hours to create the plastic pieces, 4 hours to create the electronics, and 12 hours of labor to assemble the final product. The factory has 570 hours to create the plastic pieces, 600 hours to create the electronics, and 2120 hours of labor to assemble the final product each week. If each Thumper generates $13 in profit, and each XL2000 generates $19, how many of each of the cell phones should Angeline have the store sell each week to maximize profit?

Madhur L.

5-an-electronic-company-sells-two-kinds-of-speakers-the-tweeler-and-the-boomer-munufaeturing-most-120-speakers-cach-weck-each-twceter-takes-hours-t0-build-and-cach-boomer-takes-10-hours-_-ea-29935

Bcrypt_Sha256$$2B$12$Koudzt7Vugfesdqzt.Btsohdsno3/5Wc5Bsgjhyqjgxswzij15Z06 B.

a-furniture-company-produces-inexpensive-tables-and-chairs-the-production-process-for-each-is-similar-in-that-both-require-a-certain-number-of-hours-of-carpentry-work-and-a-certain-number-of-labour-ho

A furniture company produces inexpensive tables and chairs. The production process for each is similar in that both require a certain number of hours of carpentry work and a certain number of labour hours in the painting department. Each table takes 4 hours of carpentry and 2 hours in the painting department. Each chair requires 3 hours of carpentry and 1 hour in the painting department. During the current production period, 240 hours of carpentry time are available and 100 hours in painting is available. Each table sold yields a profit of E7; each chair produced is sold for a E5 profit. Find the best combination of tables and chairs to manufacture in order to reach the maximum profit

Lucas F.


*

Recommended Textbooks

-
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition
achievement 1,836 solutions
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger, David J. Ellenbogen,Barbara L. Johnson 4th Edition
achievement 1,009 solutions
Algebra and Trigonometry

Algebra and Trigonometry

James Stewart, Lothar Redlin, Saleem Watson 4th Edition
achievement 1,861 solutions

*

Transcript

-
00:01 Hello student, in the given question we have to determine the optimal number of each cell phone to sell each week in order to maximize profit.
00:47 We can set up a linear programming problem.
01:03 Let defines the values.
01:11 First let's define the values as t is equal to number of thumpers to sell each week and x be the number of xl2000 to sell each week...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever