A garage employs supervisors and technicians. According to the union contract, a supervisor does 3 brake jobs and 4 muffles per day, whereas a technician does 7 breaks and 4 muffles per day. The home office requires enough staff on hand for at least 24 brake jobs per day and at least 18 mufflers per day. A supervisor makes $90 per day and a technician makes $100 per day. The home office is looking to minimize daily labor costs. Let x represent number of supervisors and y represent number of technicians.

a.) Identify the daily production constraint for mufflers

b.) state the objective function