$33.$ Inventory Control and Planning McDuff Preserves expects to bottle and sell $2,000,00032-$oz jars of jam at a uniform rate throughout the year. The company orders its containers from Consolidated Bottle Company. The cost of ordering a shipment of bottles is $\backslash (\backslash$$ $200\backslash ),$ and the cost of storing each empty bottle for a year is $\backslash (\backslash$$ $0\mathrm{.}40\backslash ).$ How many orders should McDuff place per year, and how many bottles should be in each shipment if the ordering and storage costs are to be minimized? $($Assume that each shipment of bottles is used up before the next shipment arrives.$)$