supply chain question

A retail store owner experiences demand for its fast selling toy products a mean of 320 and a standard deviation of 140 with normal distribution. The owner manages the inventory through continuous review policy, i.e. places orders for 1000 toys whenever she sees that there is only 1150 (reorder level) toys left in the storage (current policy). Once placed the order, she needs to wait for 3 weeks of lead time to receive the order. Each unit costs the owner $5 with a 15% holding cost per year. a) What is the safety stock level in the current policy for the inventory management? (2 pts) b) What is the cycle service level (CSL) level for the current policy? (2 pts) c) What would be new reorder level if the CSL was set at 98% (2 pts) d) What is the ordering cost (S) given the current policy? (3 pts) e) What is the total cost of inventory holding and ordering costs; assume the current policy. If you couldn't calculate the ordering cost in part d, you can leave it as Sin your total cost expression.(3 points) f) Owner of the store decides to pool the inventory with the owner of another store next door who is also selling the same toy product with the same demand distribution and inventory management policy. What is the total safety stock reduction (SS) for the combined inventories given the same CSL level? What would be the increase in CSL level if they were to keep SS levels same? (4 pts) A retail store owner experiences demand for its fast selling toy products a mean of 320 and a standard deviation of 140 with normal distribution. The owner manages the inventory through continuous review policy, i.e. places orders for 1000 toys whenever she sees that there is only 1150 (reorder level) toys left in the storage (current policy). Once placed the order, she needs to wait for 3 weeks of lead time to receive the order. Each unit costs the owner $5 with a 15% holding cost per year. a) What is the safety stock level in the current policy for the inventory management? (2 pts) b) What is the cycle service level (CSL) level for the current policy? (2 pts) c) What would be new reorder level if the CSL was set at 98% (2 pts) d) What is the ordering cost (S) given the current policy? (3 pts) e) What is the total cost of inventory holding and ordering costs; assume the current policy. If you couldn't calculate the ordering cost in part d, you can leave it as Sin your total cost expression.(3 points) f) Owner of the store decides to pool the inventory with the owner of another store next door who is also selling the same toy product with the same demand distribution and inventory management policy. What is the total safety stock reduction (SS) for the combined inventories given the same CSL level? What would be the increase in CSL level if they were to keep SS levels same? (4 pts)