AQ$1.$ Inventory Management $(11$ marks$)$ A bakery sells $2$; $000$ loaves of bread every month and orders $$our from a supplier. The annual carrying cost per unit $$our $($one unit of $$our can be used to make one loaf of bread$)$ is $$8.$ Note: The following three questions are independent of each other. $1.[3$ marks$]$ If the bakery orders $1$; $200$ units of $$our each time, what is the length of each order cycle $($in month$)?2.[4$ marks$]$ The bakery orders $1$; $800$ units of $$our each time and $$nds that the annual inventory holding cost is twice the annual ordering cost. What is the $$xed ordering cost? $3.[4$ marks$]$ If$,$ instead, the optimal order size of $$our is $2$; $400$ units, what is the $$xed ordering cost?