You implement a photo ticketing system to take digital pictures of vehicles when they run red lights. You install one camera at $13$th and Main Street in Hays. When a vehicle passes through a red light a sensor triggers the camera to take a picture. The picture is $400$ pixels high by $600$ pixels wide. The image is grayscale, with the shade of each pixel defined by $16$ bits.

a$.$ How many bits is a single picture?

b$.$ If you receive $300$ pictures a month, how much storage will you need to hold three years of these pictures $($assuming no growth$)?$

c$.$ You decide you want to convert from still to motion video. You plan on taking $10$ seconds of video at $30$ pictures per second. How many bits would a single video clip be$?$

d$.$ If you receive $300$ videos per month $($no growth$)$ what would your three year storage requirements be$?$

e$.$ If you fined each violator $$50,$ what would the potential revenue be per year?