2.) The Aitken Skateboard Company makes custom skateboards. They have figured out that their profit can be modeled by the equation: P = -2b² + 14b – 20 where b is the number of skateboards produced (in thousands >so for example 1,000 skateboards would be plugged in as 1) and P is the company's profit (in hundreds of thousands of dollars). • How many skateboards should they produce to maximize their profit? What is their max profit? Explain how you found that value. How many skateboards should they produce to make zero profit? (Known as the break even point). Explain how you found that value. What is the companies' profit if they produce 3,000 skateboards? 4,500 skateboards? Explain how you found those values.

2.) The Aitken Skateboard Company makes custom skateboards. They have figured out that their profit can be modeled by the equation: P = -2b² + 14b – 20 where b is the number of skateboards produced (in thousands >so for example 1,000 skateboards would be plugged in as 1) and P is the company's profit (in hundreds of thousands of dollars). • How many skateboards should they produce to maximize their profit? What is their max profit? Explain how you found that value. How many skateboards should they produce to make zero profit? (Known as the break even point). Explain how you found that value. What is the companies' profit if they produce 3,000 skateboards? 4,500 skateboards? Explain how you found those values.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

2.) The Aitken Skateboard Company makes custom skateboards. They have figured out that their profit can be
modeled by the equation: P = -2b? + 14b – 20 where b is the number of skateboards produced (in thousands
>so for example 1,000 skateboards would be plugged in as 1) and P is the company's profit (in hundreds of
thousands of dollars).
• How many skateboards should they produce to maximize their profit? What is their max profit? Explain
how you found that value.
• How many skateboards should they produce to make zero profit? (Known as the break even point).
Explain how you found that value.
What is the companies ' profit if they produce 3,000 skateboards? 4,500 skateboards? Explain how you
found those values.

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