Quarter : 1 2 3 4 5 6 7 8 Demand : 4200 6400 3000 4800 4400 6240 3600 4800 Each qualified instructor puts in 480hours per quarter time and can work additional 120 hours overtime. Regular-time wage and benefits cost club $7200 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 over capacity. The cost of hiring, training and certifying a new instructor is $10000. Lay off costs is $4000 per instructor. Currently, eight instructor work in this capacity. a. Find a level work force plan that allows for no delay in service and minimizes under time. What is the total cost of this plan? b. Find the total cost for chase strategy plan that varies the work-force level without using overtime or under time.