Each certified instructor puts in $480$ hours per quarter regular time and can work an additional $120$ hours overtime. Regular$-$time wages and benefits cost Carlton $$7,200$ per employee per quarter for regular time worked up to $480$ hours, with an overtime cost of $$20$ per hour. Unused regular time for certified instructors is paid at $$15$ per hour. There is no cost for unused overtime capacity. The cost of hiring, training, and certifying a new employee is $$10,000.$ Layoff costs are $$4,000$ per employee. Currently, eight employees work in this capacity.

Use a chase strategy that varies the workforce level without using overtime or undertime. What is the total cost of this plan?