A manager must set up inventory ordering systems for two new production items: P$34$ and P$35.$ P$34$ can be ordered at any time, but P$35$ can be ordered only once every $4$ weeks. The company operates $50$ weeks a year, and the weekly usage rates for both items are normally distributed. The manager has gathered the following information about the items.Item P$34$Item P$35$Average weekly demand$60$ units$70$ unitsStandard deviation$4$ units per week$5$ units per weekUnit cost$$15$$$20$Annual holding cost$30\%30\%$Ordering cost$$70$$$30$Lead time$2$ weeks$2$ weeksAcceptable stockout risk$2\mathrm{.}5\%2\mathrm{.}5\%$a$.$ When should the manager reorder each item?b$.$ Compute the order quantity for P$34.$c$.$ Compute the order quantity for P$35$ if $110$ units are on hand at the time the order is placed