Quarter

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

Demand$($hrs$)$

$4,400$

$6,400$

$3,200$

$4,800$

$4,400$

$6,240$

$3,600$

$4,900$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 $8$ 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.