Please help with this question:

The office manager for the Gotham Life Insurance Company orders letterhead stationery from an office products firm in boxes of 500 sheets. The company uses 6,500 boxes per year. Annual carrying costs are $3 per box, and ordering costs are $28. The following discount price schedule is provided by the office supply company:

Order Quantity (in boxes) Price per Box

200-999 $16

1000-2999 $14

3000-5999 $ 13

6000+ $ 12

a. Determine the optimal order quantity and the total annual inventory cost.

b. Determine the optimal order quantity and total annual inventory cost for boxes of stationery if the carrying cost is 20% of the price of a box of stationery.

ORDERING ORDERING ORDERING ORDERING

EOQ 1,000 3,000 6,000

Average inventory =

Annual carrying cost=

Number of orders =

Annual order cost =

Total inventory purchase cost

Total inventory cost =