$1($a$).$ Each unit of an item costs a firm $$150$ with annual holding costs of $20\%$ of unit cost for interest charges, $2\mathrm{.}5\%$ insurance, $4\%$ allowance for obsolescenc,$$8$ for building overheads, $$6,$or damages and loss, and $$16$ miscellaneous costs. For a constant annual demand of $2000$ units and each order costs $$200$ to place, calculate the: Economic order quantity $($ii$)$ Total cost of stocking the item

$($iii$)$ If the supplier will only deiiver batches of $500$ units, how does this affect the cost?