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To calculate: The amount that shop must charge per surfboard to maximize the amount of money earned and the maximum amount that the shop can earn per month.
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Answer to Problem 8CT
The shop should charge
The maximum amount the shop can earn per month is
Explanation of Solution
Given information: Shop sells
Concept Used: The quadratic equation
Calculation:
Let
The number of surfboards sold per month are given by
Hence, the profit function is given by:
Comparing with general equation we get;
The maximum of this occurs at
Substitute this value in profit function:
The maximum amount that the shop can earn per month is
The shop can charge
Chapter 2 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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