The High Note Sound Company manufactures two quality Stereo Receivers: Product X1 and Product X2. Product X1 earns 50 dollars in profit whereas Product X2 earns 120 dollars. Product X1 requires two hours of an electrician's time and three hours of an audio technician's time, whereas Product X2 requires four hours of an electrician's time and one hour of an audio technician's time. In a month, the company has 80 hours of electrician's time available and 60 hours of audio technician's time available. a) Formulate the product mix LP model. b) Find the optimal product mix and profit. c) What if the profit margin for Product X1 increases from 50 to 70? Will it be optimal to produce X1?

The High Note Sound Company manufactures two quality Stereo Receivers: Product X1 and Product X2. Product X1 earns 50 dollars in profit whereas Product X2 earns 120 dollars. Product X1 requires two hours of an electrician's time and three hours of an audio technician's time, whereas Product X2 requires four hours of an electrician's time and one hour of an audio technician's time. In a month, the company has 80 hours of electrician's time available and 60 hours of audio technician's time available. a) Formulate the product mix LP model. b) Find the optimal product mix and profit. c) What if the profit margin for Product X1 increases from 50 to 70? Will it be optimal to produce X1?

Name: Problem 4: High Note Sound Company.The High Note Sound Company manufa
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Problem 4: High Note Sound Company.The High Note Sound Company manufactures two quality Stereo Receivers: Product X1 andProduct X2. Product X1 earns 50 dollars in profit whereas Product X2 earns 120 dollars. ProductX1 requires two hours of an electr

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: The average yearly salary of a woman with a bachelor’s degree exceeds that of a woman with an…

A: The provided statement is “The average yearly salary of a woman with a bachelor’s degree exceeds…

Q: A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of…

Q: Ace Construction Company builds two kinds of driveways: asphalt and concrete. For a typical home, an…

A: Two kind of driveways are expected to built: 1.Asphalt -100 unit 2.Concrete-75 unit Where Asphalt…

Q: Kelsey runs a factory that makes stereo tuners. Each S100 takes 4 ounces of plastic and 2 ounces of…

Q: A lawn and garden store creates three different potting mixes sold in 20-pound bags. Mix A contains…

A: Let x , y and z be the number of 20-pound bags of Mix A , Mix B and Mix C to produce.the objective…

Q: A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of…

Q: The ABC Company manufactures two electrical products: air conditioners and water heaters. Each air…

A: Tabulate the given information, to formulate it as a linear programming problem. Profit 25 15…

Q: The production planner for Fine Coffees, Inc. produces two coffee blends: American (A) and British…

A: It is known that 16 ounces=1 pound. The linear function that needs to be optimized is called the…

Q: A company manufactures two types of washers, top load and front load. The company can manufacture a…

A: Let us assume they will make x top load and y front load washing machines. According to the…

Q: The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model…

Q: Your friend works at a coffee shop that sells two different coffee varieties: House Blend and Dark…

A: Each package of House Blend uses 9 ounces of Mexican beans and 17 ounces of Colombian beans. Each…

Q: Blackjack Company is a local producer of Black shampoo. The company wants to determine the…

A: 1) Let x cases of men's shampoo are produced per day and let y cases of women's shampoo are produced…

Q: A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of…

Q: An angler fishes half of their time at East Delaney Lake, one quarter of their time at South Delaney…

A: It is given that in East Delaney Lake, 6% of the trout are brown trout, in South Delaney Lake 64% of…

Q: tables and chests. Producing a chair requires 2 hours of construction and 1 hour of painting.…

Q: The company is engaged in the handmade production of furniture. Its main products are chairs, dining…

A: We need to form three linear equation with three variable and then need to solve it

Q: Happy Kid Toy Company produces two types of toy cars, A and B. The company makes RM 50 profit for…

Q: A company produces three types of bookcases: Standard, Deluxe, and Premium. Each bookcase must be…

Q: The I-Dream company makes two different BLU-ray players, which are assembled on two different…

A: The I-Dream company makes two different BLU-ray players, which are assembled on two different…

Q: Suppose in one year, total revenues from digital sales of pop/rock, tropical…

A: Let P be the revenue from digital sales of pop, T be the revenue from digital sales of tropical and…

Topic Video

Question

Problem 4: High Note Sound Company.
The High Note Sound Company manufactures two quality Stereo Receivers: Product X1 and
Product X2. Product X1 earns 50 dollars in profit whereas Product X2 earns 120 dollars. Product
X1 requires two hours of an electrician's time and three hours of an audio technician's time,
whereas Product X2 requires four hours of an electrician's time and one hour of an audio
technician's time. In a month, the company has 80 hours of electrician's time available and 60
hours of audio technician's time available.
a) Formulate the product mix LP model.
b) Find the optimal product mix and profit.
c) What if the profit margin for Product X1 increases from 50 to 70? Will it be optimal to
produce X1?
d) What if we have 100 electrician's hours? How much more profit will this company earn?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

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.

Similar questions

The firm WebsAreUs creates and maintains Web sites for client companies. There are two types of Web sites: “Hot” sites change their layout frequently but keep their content for long times; “cool” sites keep their layout for a while but frequently change their content. Maintaining a hot site requires 1.5 hours of layout time and 2 hour for content changes. Maintaining a cool site requires 1 hour of layout time and 2 hr for content changes. Everyday WebsAreUs has 12 hrs available for layout changes and 16 hr for content changes on a hot site. Net profit is $50 for a set of changes on a hot site and $250 for a set of changes on a cool site. To maximize profit, how many of each type of site should WebsAreUs maintain daily? How, if at all, do the maximum profit and optimal policy change if the company must maintain at least two hot and 3 cool sites daily?
Monoblocs, Inc. manufactures set-it-up-yourself furniturefor students. He currently makes twoproducts,bookcases and tables. Each bookcase contributes P240to profits and each table, P200. Each product passesthrough two manufacturing departments, cutting andfinishing. Book- cases take 4 hours a unit in cutting and 4hours in finishing. Tables require 3 hours a unit in cuttingand 5 in finishing. There are currently 40 hours availablein cutting and 30 in finishing. Find the product mix thatwill produce that maximum profit.
Astra company manufactures bamboo toy chairs and chess sets. Each bamboo toy chair yields a profit of $3, and each chess set, $6. A bamboo toy chair requires 5 hours of processing at Machine A and three hours at Machine B, and one hour at Machine C, while a chess set requires seven hours at Machine A, seven hours at Machine B, and one hour at Machine C. Machine A has a maximum of 130 hours of available capacity per day. Machine B has 95 hours, and Machine C has 20 hours. If the company wishes to maximize profit, how many bamboo toy chairs and chess sets should be produced per day? Solve this problem using graphical method and please explain the steps on how you solve it. Thank you :))
U.S. Trucking pays its drivers $40,000 per year, while American Trucking pays its drivers $38,000 per year. For both firms, truck drivers average 240,000 miles per year. Truck driving jobs are the same regardless of which firm one works for, except that U.S. Trucking gives each of its trucks a safety inspection ever 50,000 miles, while American Trucking gives each of its trucks a safety inspection every 36,000 miles. This difference in safety inspection rates results in a different rate of fatal accidents between the two companies. In particular, one driver for U.S Trucking dies in an accident every 12 million miles while one driver for American Trucking dies in an accident every 15 million miles. What is the value of a trucker’s life implied by the compensating differential between the two firms?
A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…