Ms  Futurama,  handles  a  variety  of  imported  auto  components.  One  of  the  key components  is  suspension  systems.  Considering  the  criticality  of  this  part,  company has  built  a  separate  storage  facility  that  has  annual  fixed  cost  of  US$,5000.  Since  the components are  imported, company  is incurring  following  ordering  costs     Delivery  cost per order =  US$2000   Import Duty  per Order  =  US$300   Custom Fees per  Order  =  US$200   Import  License per annum = US$200 There  is  a  total  demand  of  12000  pieces  per  annum  (monthly  demand  of  1000  pieces with  a  standard  deviation  of  100  pieces).  The  supply  lead  time  is  1  month  with  a standard  deviation  of  0.3  month.  company  is  conveniently  placing  one  order  every month  with  an  average  qty  of  1000.  The  cost  per  piece  is  US$30.  The  annual  holding cost  rate  is  30%.  Calculate  cycle  stock  and  safety  stock  point  if  the  firm  is  willing  to tolerate  a  1%  chance  (Z0.99  =  2.32)  of  a  stockout  during  an  order  cycle.  Also  calculate the total cost of inventory.