Problem $2.$

At Modem Lumber, Inc., Art Binley, a president and a producer of an apple crates sold to growers, has been able, with his current equipment, to produces $240$ crates per $100$ logs$.$ He currently purchases $100$ logs per day, and each logs required $3$ labor hours to process. He believes that he can hire a professional buyer who can buy a better quality log at the same cost. If this is the case, he increases his production to $260$ crates per $100$ logs$.$ His labor hours will increase by $8$ hours per day. What will be the impact on productivity $($measured in crates per labor$-$hour$)$ if the buyers is hired? What is the Growth in productivity in this case?