Using a computerized Inventory Management System, a Paint Supply Store franchise continuously monitors the inventory of all the paint located at each of their $15$ stores and their distribution warehouse. The Paint Supply Store franchise sells an average of $50$ gallons of Yellow Paint every week $($for $52$ weeks per year$).$ Their current policy is that when they place an order for Yellow Paint from their supplier, they order $80$ gallons at a price of $$3\mathrm{.}00$ per gallon. $[$The company does not hold Safety Stock$]$ It takes $1\mathrm{.}75$ weeks to receive an order from the supplier. Administrative costs for Ordering paint have been estimated to be $$25$ per order. Holding Costs $30\%$ of the purchase price per gallon per year. What is the Total Annual Inventory Cost for the company's current policy? Reorder Point, ROP $=$ dL $+$ SS Service Level z Value d $=$ Average Demand Rate per Time Period $99\mathrm{.}99\%3\mathrm{.}71999\mathrm{.}90\%3\mathrm{.}090$ D $=$ Demand Rate per Year $99\mathrm{.}00\%2\mathrm{.}326$ L $=$ Average Lead time $($time periods$)95\mathrm{.}00\%1\mathrm{.}64590\mathrm{.}00\%1\mathrm{.}282$ SS $=$ Safety Stock $=$z sigma dL $85\mathrm{.}00\%1\mathrm{.}03680\mathrm{.}00\%0\mathrm{.}842$ sigma dL $=$ sqrt L sigma d $^2($Time is constant as in Periodic review$)$ Standard Deviation of the demand sigma$\_\{4\}=$; z $=$ Number of Standard deviations corresponding to a service level Q $=$ Order Quantity Average Inventory Level $=$ Q $/2+55$; H $=$ Holding Cost Per Year Per Unit S $=$ Ordering$/$Setup Cost Per Order Total Annual Inventory Cost $=($Q$/2)*$ H $+($D$/$Q$)*$ S $+$ H$($SS$)$ Economic Order Quantity, Orders$=$ TBO $=($EOQ$)/$D; EOQ $=$ sqrt$((2$DS$)/$H$)$ Time Between