A large distribution center must develop a staffing plan that minimizes the total cost using part$-$time workers. Use chase and level strategy and compute the total cost.$$Each period is $20$ hours.

$$From the beginning manager has $10$ part time workers.

$$The distribution center can hire new part time workers in any period, but no more than $10.$

$$Overtime can not exceed $20$ percent of the regular time $($that is $4$ hour$)$ in any period.

$$The following costs can be assigned

$$ Regular time: $2000$ dollars per period $($period $=20$ hour$).$

$$ Overtime : $150$ percent of the regular time.

$$ Hires: $1000$ dollar per person.

$$ Layoffs: $500$ dollars per person. level strategy