Concept explainers
Business Analysis
This activity may be completed by working in groups or individually.
Suppose you own a small business that manufactures specialized iPod covers. You need to decide how many covers to make. The more covers you make, the lower the price you will have to charge to sell them all. Naturally, each cover you make cost you because you must buy the materials to make each cover. The following table summarizes some factors you must consider in deciding how many covers to make, along with algebraic representations of those factors.
Number of covers | Description | Algebraic Expression |
Total manufacturing expenses | This is total amount that it will cost to manufacture all the iPod covers. It will cost $100 to buy special equipment to manufacture the covers in addition to materials costing $0.50 per cover. |
|
Price charged per cover | For additional cover produced, the price that must be charged per cover decreases from $40 by an additional $0.50. |
|
Revenue is the amount of money collected from the selling the iPod covers. Revenue can be found by multiplying the price charged per cover by the number of covers sold. Use the algebraic expressions given in the table above to find a polynomial that represents the revenue from sales of covers. Then write this polynomial in the Polynomial column next to “Revenue” in the table to the right.
Number of Covers,
|
||||||
Polynomial | 200 | 300 | 400 | 500 | 600 | |
Revenue | ||||||
Total manufacturing expenses |
|
|||||
Profit |
|
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Prealgebra
- Give an example from your life using the phrase ‘at least’.arrow_forwardHow do you decide which pattern to use?arrow_forwardParent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?arrow_forward
- Diet Program Nicole started a new diet that requires each meal to have 460 calories, 6 g of fiber, and 11 g of fat. The table shows the fiber, fat, and Calorie content of one serving of each of three breakfast foods. How many servings of each food should Nicole eat to follow her diet!arrow_forwardU.S. Census data shows that the median price of new home in the United States in November 2014 was $280,900. This was $10,700 more than 14 times the price in November 1964. What was the median price of a new home in November 1964?arrow_forwardIn the situation of the example, how long could you keep the car if your expense account allowed 242?arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL