Question $1[10$ marks$]$ A milk company supplies bottled milk to a kindergarten at a steady rate of $600$ bottles per day. The cost to import the milk is $$120$ per time. The annual holding costs are $50$ cents per bottle. The milk company operates $240$ days a year. $1.$ Write down the per unit holding cost H$,$ setup$/$ordering cost S$,$ and the annual total cost as a function of order size $($and you need to specify the parameters in the total cost function$).2.$ What is the EOQ? Please use interger value for the optimal order size. $3.$ What are the annual total cost, the length of each order cycle and the average number of orders per year of ordering the EOQ every time? $($Round your results to two decimal places.$)$