# Math Help - Really difficult linear optimization problem from my book

1. ## Really difficult linear optimization problem from my book

Here is the link to the problem
http://i.imgur.com/3MDmG.jpg

I really appreciate any help on this problem.

2. ## Re: Really difficult linear optimization problem from my book

Nevermind, I figured it out.

10hrs (max possible) of tutoring at $15/hr =$150
10hrs of delivery at $8/hr =$80
for a total of $230. I would set up a function to be maximized, and then read through the constraints and list them: let y= pizza hours let x = tutor hours then we want max of 15x + 13y, where x+y <= 20 and x <= 10. (x , y > 0). Graph the equations, find vertices, plug vertex coordinates in to 15x +13y, find max altered vertex value. Should leave you with 230$ possible max profit.