Maximizing Profit question
This one is giving me some trouble. Can you help me find the solution?
I will be paid 5$ for every every book I bring to a man. I will be paid an extra $1 per book per box if I bring them in a box.
It will take me 300 minutes to find 1000 books. It will take me 500 minutes to find 1 box.
I have a given number of minutes to return. What is the best strategy to take in order to earn the most?
What I can figure out so far:
let x be the number of books and y be the number of boxes.
Profit = x * ($5 + $1 * y)
Time = 300(x/1000) + 500y
How do I put the two of these together to figure out the max?