Sassy Salon makes $12 on each manicure and $18 on each haircut. A manicure takes 30 min and a haircut takes 50 min, and there are 5 stylists who each work 6 hours a day. If the salon can schedule 50 appointments a day, how many should be manicures and how many haircuts in order to maximize profit? What is the maximum profit? this is a linear programming word problem