Manufacturing cost is $$200$ per unit, storage cost is $$3$ per unit per month $($based on expected end$-$of$-$month levels$),$ standard pay rate is $$6$ per hour, overtime rate is $$9$ per hour, cost of backorder is $$10$ per unit per month, marginal cost of subcontracting is $$10$ per unit, hiring and training cost is $$200$ per worker, layoff cost is $$300$ per worker, and worker productivity is $0\mathrm{.}1$ unit per hour. Assume that you start off with $50$ workers and that they work eight hours per day.