# Price output threshold

In fantasy sports, you have a budget of \$60,000 and 9 roster positions. Each player to choose from has a given salary. Better performing players are usually priced higher than lower-performing players. This is based on fantasy points scored. How could I determine when a player's salary is too high to justify rostering in my lineups? For example, if a player has a salary of \$14,000 and his projections are 50 points then my remaining 8 players need to score around 44 points each, but my average salary per player is \\$5750. What type of math could I reference to better make decisions on what the threshold should be?

• We use dollar signs to set off MathJax. You need to escape them with backslashes to avoid the formatting problems, or just delete them because the unit of currency does not matter. Commented Nov 5, 2019 at 3:21

This is a game theory problem, which is why I added the tag. It sounds like you believe you need $$94$$ points to win. This is a case of the knapsack problem, which is known to be NP-complete.