A firm produces two types of earphones per year: x thousand of type A and y thousand

Question:

A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. If the revenue and cost equations for the year are (in millions of dollars)

R(x, y) = 2x + 3y

C(x, y) = x² - 2xy + 2y² + 6x - 9y + 5

determine how many of each type of earphone should be produced per year to maximize profit. What is the maximum profit?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

Question Posted: Apr 28, 2022 11:30 PM

See More Questions

The revenue and cost equations for a product are R = x(75 0.0005x) and C = 30x + 250,000, where R and C are measured in dollars and x represents the number of units sold. How many units must be sold...
The revenue and cost equations for a product are R = x(50 0.0002x) and C = 12x + 150,000, where R and C are measured in dollars and x represents the number of units sold. How many units must be sold...
A furniture cabinet maker produces two types of cabinets that house and hide plasma televisions. The Mission-style cabinet requires $340 in materials and 15 labor hours to produce, and it yields a...
Windy Company manufactures surfboard bags in a one-department process: Design and Manufacturing. The Design and Manufacturing Department uses weighted-average costing method. The following tables...
Why is the expected loss from a default on a swap less than the expected loss from the default on a loan with the same principal?
The following data were selected from the records of Fluwars Company for the year ended December 31, 2014: The company sold merchandise for cash and on open account with credit terms 1/ 10, n/ 30....
Analizar la comunicacin de marketing integrado y el proceso de comunicacin . OA2
Using information regarding industry advertising-to-sales ratios (see company.news-record.com/advertising/advertising/ratio.html), recommend percentages of sales that advertisers in the following...
What is the percentage change in total revenues from 2018 to 2019? Round to the nearest one-tenth of 1% (i.e., 87.2). What is the percentage change in total expenses from 2018 to 2019? Round to the...
Jill Hansen owns Interior Designs, a furniture store. One of her most popular items is a leather recliner. Following is the recliner inventory activity for August. The recliners on hand at August 1...
A store sells two brands of camping chairs. The store pays $60 for each brand A chair and $80 for each brand B chair. The research department has estimated the weekly demand equations for these two...
In Problem find the indicated second-order partial derivative for each function f(x, y). f xy (x, y) if f(x, y) = 4x 2 + 6y 2 - 10
Define gross margin and gross margin ratio. Why are they important?L-1
Imagine trying to manage and accommodate the needs of more than 185,000 people at once. Imagine a variety of voices, languages, cultures, ethnic backgrounds, families, lifestyles, ages, and...
Question 1 Case Study Cross-Boundary Teaming for Innovation: Integrating Research on Teams and Knowledge in Organizations In a growing number of cases, teams span organisational boundaries, not just...
Article Assignment Select a business article from a professional news source's business section or professional journal. The article selected is not to be opinion driven. Provide a personal opinion...
Research can be conducted for a variety of reasons including searching for effective change strategies that allow followers to perceive of someone as a leader rather than a manager or studying a...
The revenue recognition principle and the expense recognition principle require that the company recognize related revenue and expense transactions in the same accounting period. Discuss why this...
Explain in words how the time value of money is related to the price of stocks.
Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses absorption costing. $ 57.30 per unit $ 10.30 per unit $ 7.80 per...
What test can be used to assess whether there is a significant association between LDL cholesterol and ponderal index? Pediatrics, Cardiovascular Disease An important area of investigation is the...
Use methods of linear-regression analysis to assess whether there are doseresponse relationships with regard to biliary and pancreatic pH levels. Perform separate analyses for each of the four active...
Use methods of linear-regression analysis to assess whether there are doseresponse relationships with regard to biliary and pancreatic secretion levels. Perform separate analyses for each of the four...
Marie Forleo, a marketing trainer and host of MarieTV, presents the eight tips for genuine networking. Do you agree or disagree with her suggestions? Discuss how this information is useful to you and...
Identify all relevant costs or revenue that are applicable to production- constrained decisions 1. Contributions margin of product 2. Interference with other production 3. Contribution margin per...
Gammaro Compary manufactures wallets from fabric. In 2 0 1 9 , Gammaro made 2 , 1 5 0 , 0 0 0 wallets using 1 , 2 5 0 , 0 0 0 yards of fabric. In 2 0 1 9 , Gammaro has capacity to make 2 , 8 0 0 , 0...

A firm produces two types of earphones per year: x thousand of type A and y thousand

Question:

Step by Step Answer:

Solution To maximize the profit of the firm we need to find the maximum revenue which will occu...View the full answer

College Mathematics For Business Economics, Life Sciences, And Social Sciences

Students also viewed these Mathematics questions