Aconveniencestoreusesthefixed-periodinventorycontrolsystem(FPS)tomanageitsinventoryofdistilledwaterbottles.Thissystemreliesonthefollowinginformation.

Average weekly demand	80 bottles per week
Lead time	5 days
Order cost	$15 per order
Unit cost	$.75 per bottle
Annual Inventory holding cost	30% for a year
Standard deviation of weekly demand	12 bottles per week
Desired service level with safety stock	90%
Current on-hand inventory	83
Current schedule receipts	0
Current backorders	0
Number of operating weeks per year	52 weeks
Number of operating days per week	7 days

(a) WhatistheEconomicOrderQuantityQ'(EOQ)?(Roundeduptoawholenumber)

(b)WhatisthetimeintervalbetweenreviewsTinoperatingdays?(Roundedup)

(c)Whatisthe currentinventoryposition(IP)inbottles?

(d)Withsafetystock,whatisthereplenishmentlevelM(ST)?Sketchthe normaldemanddistributionintheappropriatetimewindowtoillustratetheservicelevel.

(e)Iftodayisthereviewdayandwithsafety stock,whatistheorderquantity?

(f)Drawadiagramtoillustratehowtheinventorypositionmovesovertime.Includenecessary details likereviewintervals,leadtime,whentoorderandhowmany,etc.