$1.$ The hottest set top box available is made by Set Top Box International. Right now, they outsell both BestBuy and Target in terms of sales. Inventory, however, is a problem for Set Top Box International. Given the brief lifespan of their product. when a new product is introduced, companies frequently write off a sizable amount of their inventory. They currently operate a completely automated facility Allstate Rd$,$ Boston. Each year, they sell roughly $960,000$ units. Right now, they manufacture product until they have a full truck load $(4,000$ set tops$),$ at which point they send a complete truck load to their Illinois distribution center for $$600\mathrm{.}00.$ Following that, the distribution center mails out individual units to online clients for a shipping and handling fee of $$22\mathrm{.}00.$ Retailers receive LTL truck shipments from the distribution facility. $400$ of each are shipped out at a time. For these shipments, the distribution center charges $$400\mathrm{.}00.$ The distribution center also has a fixed monthly fee of $$5,000$ dollars. Set Top Box International sells its units online for $$100$ each, while charging $$82$ to large retailers like Wal$-$Mart. $30\%$ of their clientele are retail clients. Each Set Top is produced at a cost of $$53\mathrm{.}00$ to Set Top Box International. How much is the Set Top Box International currently making per month?