$9.$ Jill Nichols$$ golf camp estimates the following workforce for its services over the next $2$ years.

Quarter $12345678$

Demand $($hrs$)3,9006,1003,2004,5004,9006,5003,8004,800$

Each certified instructor puts in $480$ hours per quarter regular time and can work $20\%$ more hours overtime. Regular$-$time wages and benefits cost Nichols $$7,200$ per employee per quarter for regular time worked up to $480$ hours, with an overtime cost of $$20$ per hour. Unused regular time for certified instructors is paid at $$11$ per hour. There is no cost for unused overtime capacity. The cost of hiring, training, and certifying a new employee is $$10,000.$ Layoff costs are $$4,000$ per employee. Currently, seven employees work in this capacity.

a$.$ Create workforce plan using the level strategy that allows for no delay in service. It should rely ONLY on overtime and the minimum amount of undertime necessary. What is the total cost of this plan?

b$.$ Crate a workforce plan using chase strategy that varies the workforce level using workforce adjustment $($i$.$e$.$ hires and layoffs$).$ What is the total cost of this plan?

c$.$ Which strategy is better for this example and by how much?