As a manufacturing automation engineer, you are asked to design a control system to automate a bottle-filler machine for bottled water. Empty bottles are moved into position beneath the filler nozzle one at time by a conveyor moved by a stepping motor. Once a bottle is in position underneath the nozzle, the control system actuates a valve (using an actuator) allowing the water to flow into the bottle. A sensor measures the flow rate and sends it to the control system. The control system determines when to close the valve (using an actuator) to achieve the desired volume of water in the bottle based on the flow rate. The valve is closed via a signal from the control system and the stepping motor advances the next bottle. Using the list of sensors and actuators given in the course lectures, design and describe what are the appropriate sensors and actuator to be used to automate the water-filler machine for bottled water. Include in your description of the control system, the type of input/output signals (such as binary, analog, etc.), and how the system is to utilize the input/output data.