You operate an online business that ships orders six days per week.  For a particular item, you have seen the following number of orders over the last ten weeks (note that the Monday column includes orders from the preceding Sunday):

You have been asked to plan a inventory policy for this item for the next four weeks (24 business days). 

• It is currently Monday, and you have 6 units in stock
• You have room to store up to 20 units; at the beginning of any day in which you have i units of inventory, you may order at most 20 – i units.
• Holding costs are $10 per unit per day, assessed on the days ending inventory
• Ordering new stock costs $500 per unit, plus another $500 in shipping, handling, and overhead
• Orders arrive the next business day
• If demand exceeds your inventory, you have stock shipped directly from the manufacturer, but that costs $650 per unit
• Value any inventory left over at the end of the four weeks at $450 per unit.

Find the inventory policy with the least expected cost over the next four weeks.