Question

Nikki plans to start a hair business. She also wants to take classes to learn how to do new

hairstyles. She has no more than 40 hours a week for her business and classes. She plans to work at least 30
hours a week at her business and to spend between 2 and 6 hours attending classes. She decides that working
at her business is three times as valuable as taking classes. Find the best way for Nikki to split her time
between her business and classes.

Answer 1

Working be x and classes be y

• x≤40
• x≥30

So

• 30≤x≤40

And

• 2≤y≤6

Graph both .

The solution region is the best way.(Blue part)