A freight delivery service is looking at the impact of allowing overtime in their packing$-$sorting department. For a week they measured the average number of packages sorted during a regular $8-$hr shift. The next week they measured the average number of packages sorted during a regular shift with $2$ hr of overtime. During the first week $($just regular time$),$ the average number of packages sorted was $1250.$ During the second week $($regular time with overtime$),$ the average number of packages sorted was $1,536.$