manager must set up inventory ordering systems for two new items, Gadget and Widget. Gadget is ordered from a supplier and is delivered at once, while Widget is produced in$-$house in batches of fixed size. The company operates $52$ weeks a year and demand for each item is normally distributed.The company uses a continuous inventory system. The manager has gathered the following information about the items.Compute the optimal order quantity for item Gadget. b$.$How many orders of item Gadget will be placed per year?What should the safety stock be for item Gadget?d$.$Compute the optimal order quantity for Widget.f$.$When should the manager reorder item Widget?Determine the length of each production run of item Widget, in days.g$.$ What is the time between two consecutive orders of Widget, in weeks?