costs $$30$ each and we need $400$ of them each month. The time it takes our staff to work with the supplier each time we order costs approximately $$400.$ Transportation costs are $$600$ per order and receiving$/$inspection costs for each order is $$100.$ We've estimated theThis problem is similar to one you will face on the first exam.We have a product that costs $$30$ each and we need $400$ of them each month. The time it takes our staff to work with the supplier each time we order costs approximately $$400.$ Transportation costs are $$600$ per order and receiving$/$inspection costs for each order is $$100.$ We've estimated the annual cost of keeping any items in inventory as around $25\%$ of their initial purchase cost.a$)$ How many of the product should we order each time? $(5$ points, show your work for any partial credit$)$b$)$ How many orders per year?$(1$ point, show work$)$c$)$ Average Flow Time for each item?$(1$ point, show work$)$d$)$ Total of all costs per year?$(3$ points, show work for partial credit$)$