BP Computer Services assembles its own brand of personal computers from component parts it purchases overseas and domestically. BP has enough regular production capacity to produce up to $2000$ computers per week. It can produce an additional $300$ computers with overtime. Also, an additional $500$ computers per week can be sourced through a subcontractor. The cost of assembling, inspecting, and packaging a computer during regular time is $$190.$ Overtime production of a computer costs $$220,$ and subcontracting has a unit cost of $$230.$ Further, it costs $$40$ per computer per week to hold a computer in inventory for future delivery, but BP$$s storage facility can store a maximum of only $1500$ computers. BP wants to meet all customer orders with no shortages to provide quality service. BP$$s confirmed orders for the next six weeks are given below