The HIM department at Community Hospital will experience is $15$ percent increase in the number of discharges coded per day as the result of opening an orthopedic clinic in the facility. The $15$ percent increase is projected to be $50$ additional records per day. The standard time to code this type of record is $15$ minutes. Compute the number of full time employees required to handle this increased volume in coding based on a $7\mathrm{.}5$ hour productive day.