Optimization Problem – Max Profit | JK Math

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How To Solve An Optimization Problem (Max Profit)

In this video we look at how to solve a specific optimization problem dealing with maximum profit.
Specifically, we look at the following problem:

A company has started selling a brand new smartphone at the price of $140-0.1x where x is the number of smartphones manufactured per day. The parts for each smartphone costs $60 and the labor and overhead for running the plant costs $4000 per day. How many smartphones should the company manufacture and sell per day to maximize their profits?

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Video Chapters:
0:00 Problem Reading & Intro
0:36 Finding The Profit Equation
5:14 Determining The Domain
6:53 Side Note Regarding Optimization Problems
7:28 Taking the Derivative & Solving for x
9:29 Checking That It’s a Maximum
11:13 Outro

More Videos on Optimization:

⏩ Lesson Video: https://youtu.be/hT6jY757WCg

⏩ Examples Video: https://youtu.be/Msl06ywReFI

⏩ Open-Top Box With Max Volume: https://youtu.be/cKeGXYMropE

⏩ Norman Window With Max Area: https://youtu.be/bKGqgGLbY6w

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