The following is an aggregate plan. The following are the requirements and other data for the upcoming $6$ months. Demand levels are: M$13300,$ M$22700,$ M$32550,$ M$42010,$ M$52950,$ M$63400.$ Previous quarter's output is $2250.$ Beginning inventory is $550$ units. The organizations policy is to backorder. Given that policy, if the item is not in stock, then the company will incur an average backorder cost of $$57\mathrm{.}50.$ Inventory holding cost is $55\mathrm{.}65.$ If the organization needs to hire worker the cost will be $$4000$ per every $50$ units, and layoff workers will be $$6000$ per every $50$ units. Regular time production is $$125\mathrm{.}00$ per unit, Overtime is $$63\mathrm{.}00$ extra. The subcontractor that the organization utilizes costs $$215\mathrm{.}00$ per unit.