You are helping Charlie to set up a new store. In this new store, Charlie needs $750$ bags of flours every month. A month consists of $30$ days. Charlie has to pay $$4$ per bag of flour to her supplier. She also has to pay a fixed ordering and delivery charge of $$5$ per order. Charlie$$s annual cost of inventory holding is $36\%$ of her material cost. Answer Questions $1-7$ based on this information.

How much will Charlie spend in inventory holding cost every month, in dollars, if he places an order of $150$ bags every time?

Now, instead of ordering $150$ bags, you recommend Charlie to order the Economic Order Quantity $($EOQ$).$

What is Charlie$$s EOQ?

Is the order quantity higher, lower, or the same compared to that in part A$?$

If Charlie orders this EOQ every time, how many times will she order every month?

What will be her total ordering cost every month? After how many days will Charlie place the next order?

What is Charlie$$s average inventory now $($in terms of the number of bags$)?$

How much does she spend $($in $$)$ on holding inventory every month?

What will be Charlie$$s Total Relevant Cost per month $($in $$),$ by ordering the EOQ in each lot?

How does the TRC in Q$12$ compare to what was the TRC in Q$6?$ A: The new TRC $($in Q$12)$ is $\_\_\_\_\_$ compared to the TRC in Q$6.$

What will be Charlie$$s Total Cost per month $($in $$),$ by ordering the EOQ in each lot?