Design a small PLC system that controls the east garage entrances, exits and parking capacity of university. Assume the east parking garage has a max capacity of 150 cars and that the only users that can enter and exit the garage are those with valid university IDs. Also note the parking attendant vehicles must be allowed entrance at all time even when the garage is full. however, anyone else with a valid university ID cannot enter the east garage when it is full. Also describe what sensors you need (type, power requirement, digital outputs and digital inputs needed for PLC, your PLC hardware selection and ladder code controlling Entrances, exits and parking capacity (boolean logic and ladder code in studio 5000). Provide hand written ladder logic.