$.$ Basic Lumber Products $($BLP$)$ produces apple crates. BLP manufactures $240$ crates per $100$ logs with its

current machinery, which operates $8$ hours per day. It uses $100$ logs per day, and each log requires three

labor hours to process. BLP has found a source of better quality logs$.$ BLP believes it can increase production

to $260$ crates per $100$ logs$,$ but the labor hours required will increase by eight hours per day. The cost of

labor is $$12.$ The cost of the current logs is $$10,$ and the higher quality logs cost $$12.$ Machinery costs are $$3$

per operating hour. What is the multifactor productivity for the current production process and for the

higher quality logs$?$ Which process is more efficient? Why?