Question $1$

A third$-$party logistics $(3$PL$)$ service provider receives an average of $1,500+100*$X orders per day at its warehouse, where X is the last digit of your Student PI number. Use the average daily orders based on your Student PI number to answer this question. Example: If your Student PI number is W$1234567,$ then X $=7$ and the average daily order $=2,200.$

The warehouse engages $12$ workers to pick the orders. Each picker works $8$ hours to pick these orders per day. After undergoing an on$-$the$-$job training programme, the warehouse reported that only $4\%$ of orders have to be returned and re$-$picked again before dispatching. The return rate before the training was implemented was $8\%.$

This company takes great effort in setting and adhering to its warehouse KPI of In$-$Full delivery rate at $97\%.$

Question $1$a

Calculate the average orders picked per hour before and after workers have been trained. The return and re$-$pick orders will be counted as new orders. Each returned order requires an additional $0\mathrm{.}2$ hours to re$-$pick. What is the percentage increase in average orders picked per hour for this warehouse?

Question $1$b

To successfully dispatch these orders, the cost per order dispatched is $$10$ before the on$-$the$-$job training and $$7$ after the training. Assume the training cost is $$4,000.$ What is the ROI of this on$-$the$-$job training programme? Besides worker training, suggest two $(2)$ other ways to reduce the cost per order dispatched.