2) A company produces and sells smartphones. The revenue for one smartphone is $900. The cost to produce x smartphones is given by C (x) = 0.001x³ -0.003x² +0.015x + 90000 dollars. a) How many smartphones must be produced and sold to maximize the profit? Round the answer to the nearest whole number. smartphones b) Using this number of smartphones, what is the maximum profit? Round your answer to the nearest dollar. dollars

2) A company produces and sells smartphones. The revenue for one smartphone is $900. The cost to produce x smartphones is given by C (x) = 0.001x³ -0.003x² +0.015x + 90000 dollars. a) How many smartphones must be produced and sold to maximize the profit? Round the answer to the nearest whole number. smartphones b) Using this number of smartphones, what is the maximum profit? Round your answer to the nearest dollar. dollars

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 20P: In these problem you are asked to find a function that models a real-life situation and then use the...

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Question

**Problem 2: Maximizing Profit in Smartphone Production**

A company produces and sells smartphones. The revenue for one smartphone is $900. The cost to produce $ x $ smartphones is given by the function:

\[ C(x) = 0.001x^3 - 0.003x^2 + 0.015x + 90000 \]

**Questions:**

a) How many smartphones must be produced and sold to maximize the profit? Round your answer to the nearest whole number.

\[ \underline{\hspace{50px}} \text{ smartphones} \]

b) Using this number of smartphones, what is the maximum profit? Round your answer to the nearest dollar.

\[ \underline{\hspace{50px}} \text{ dollars} \]

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