a resort sells an all-included package for a week-long stay at $2000 per person. it costs $1600 for the resort to operate, so the profit is $400 per package. They sell 300 packages every month. The resort wants to increase the price and they estimate that the number of packages sold will decrease by 5 every time they increase the price by $100. What price will maximize the monthly profit? Find the maximal profit, the number of packages, and their price to get that profit.