2. A manager most 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 fived size. Sales are done via the company's website 24/7 all-year round, and demand for each item is nomally distributed. The company nses a continuous inventory system. The mamger has gathered the following information about the items. a. Compute the optimal order quantity for Gadget, b. How many orders of item Gadget will be placed per year? c. What should the safety stock be for Gadget to ensure the desired level of service? d. What is the time between two consecutive orders of Gadget, in weeks? c. Compute the optimal order quantity for Widget. How many orders will be placed per year? f. When should the manager reorder item Widget to achieve the desired level of service? g. How long will take to produce each production nun (each batch) of item Widget, in days