$2.$ A manager for a warehouse must determine how many students to employ so that total costs are minimized. Forecasted demand for these workers for the next six weeks is $9,14,16,12,11,14.$ Each student can work a maximum of $15$ hours per week. Currently there are $11$ students employed. No backorders are allowed. The most overtime a student can work is $4$ hours per week $(20\%$ greater than their normal work week$).$ Students are paid $$1,500$ per week $($for $15$ hours$).$ Overtime is paid at $150\%$ of the regular rate. To hire a student is $$800$ and to lay off, the cost is $$400.$ Use a chase strategy to come up with the total cost as it pertains to using the students.