Example 2: Natalie is a hair stylist. When making appointments for her clients, she allots 30 minutes for each cut and two hours for each cut and color. She has ten hours available for appointments each
day and prefers to see no more than 8 total clients. Each routine cut costs $40 and each cut and
color costs $100. How many of each type of appointment should she schedule each day to maxmize
her income?