On the average, a company has a work$-$in$-$process lead time of $10$ weeks and annual cost of goods sold of $$32$ million. Assuming that the company works $48$ weeks a year and $5$ days a week:

a$)$ What is the dollar value of the work$-$in$-$process? b$)$ If the work$-$in$-$process could be reduced to $6$ weeks and the annual cost of carrying inventory was $25\%$ of the WIP inventory value, what would be the annual savings?