The community bird-watching society makes and sells simple bird feeders to increase money for conservation activities. Materials for each feeder cost $6, and society sells the average of 24 per week at the price of $10 each. Society has been considering increasing price, so it performs the survey and finds that for every dollar increase, it loses 3 sales per week.
1. function which models weekly profit in terms of price per feeder.
2. What price must society charge for every feeder to maximize profits
3. Find the maximum weekly profit?