Assume that Carlton is permitted to employ some$$ uncertified, part$-$time$$ instructors, provided they represent no more than $15$ percent of the total workforce hours in any quarter. Each$$ part$-$time instructor can work up to $240$ hours per$$ quarter, with no overtime or under time cost. Labor costs for$$ part$-$time instructors are $$10$ per hour. Quarter

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$$Demand$($hours$)$

$4,200$

$6,400$

$3,000$

$4,800$

$4,400$

$6,240$

$3,600$

$4,800$

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.a

$4,200$

$9$

$1$

$2$

$6,400$

$10$

$1$

$720$

$3$

$880$

$3$

$3,000$

$8$

$2$

$3$

$4$

$4,800$

$8$

$720$

$3$

$240$

$5$

$4,400$

$8$

$560$

$6$

$6,240$

$10$

$2$

$720$

$720$

$7$

$3,600$

$8$

$2$

$3$

$8$

$4,800$

$8$

$720$

$3$

$240$

Total

$69$

$4$

$4$

$3,440$

$9$

$6$

$2,$Hiring costs are $$1,750$ per uncertified$$ instructor, and there are no layoff costs.