an allergy products superstore buys 6000 of their most popular model of air filters each year. the price of the air filters is $18. the cost of ordering and receiving shipments is $12 per order. accounting estimates annual carrying costs are %20 of the price. the supplier lead time is 2 days. the store operates 240 days per year. each order is received from the supplier in a single delivery. there are no quantity discounts.

a.what is optimal order quantity for the store to order (one decimal)?

b.how many times per year will the store order( one decimal)

c. how many days exist between two consecutive orders(one decimal)?

d.what is the reorder point if the company wishes to carry a safety stock of 10 filters (one decimal)

e.what is the store's minimum total annual cost of placing orders& carrying inventory (one decimal)