c$.$ What would the average inventory level be for this EPQ? $(2.$

Question $3\mathrm{.}3(12$ marks$)$ The manager of a large electronics store wants to begin stocking a universal TV remote control device. Expected annual demand is $6000$ units and the remote controls will be purchased from a supplier with the following price list:

Ordering cost is $\backslash (\backslash$$ $40\backslash )$ per order and annual holding cost is $\backslash (25\backslash \%\backslash )$ of unit price. Determine:

a$)$ What order quantity is optimal if the intent is to minimize total annual cost? $(6$ marks$)$

b$)$ What would be the average inventory level if this optimal order quantity is used? $(3$ marks$)$

c$)$ What would be the number of orders placed each year based on the optimal order quantity? $(3$ mar$)$