A t-shirt company makes t-shirts and hoodies. They can make between 80 and 100 t-shirts in one day. They can produce between 50 and 80 hoodies in one day. They can make, at most, 160 total products in one day. If the profit on each t-shirt is $6 and the profit on each hoodie is $10, how many of each kind do they need to make a maximum profit? What will this maximum profit be?