A single inventory item is ordered from an outside supplier. The anticipated demand for this item over the next $12$ months is $6,12,4,8,15,25,20,5,10,20,5,12.$ Current inventory of this item is $4,$ and the ending inventory should be $8.$ Assume a holding cost of $$1$ per period and a setup cost of $$40.$ Now, assume that the maximum order size of order is $20.$ Determine the order policy for this item based on $($a$)$ EOQ $($b$)$ Siver$$Meal$.($c$)$ Least unit cost $($d$)$ Part period balancing. $($e$)$ Which lot$-$sizing method resulted in the lowest cost for the $12$ periods?