Joe Henry's machine shop uses 2,500 brackets during the course of a year. These brackets are purchased from a supplier 90 miles away. The following information is known about the brackets: a. Given the above information, what would be the economic order quantity (EOQ)? b. Given the EOQ, what would be the average inventory? What would be the annual inventory holding cost? \$ c. Given the EOQ, how many orders would be made each year? d. Given the EOQ, what is the total annual cost of managing the inventory? \$ e. What is the time between orders? days f. What is the reorder point (ROP)? The catering manager of La Vista Hotel, Lisa Ferguson, is disturbed by the amount of silverware she is losing every week. Last. Friday night, when her crew tried to set up for a banquet for 500 people, they did not have enough knives. She decides she needs to order some more silverware, but wants to take advantage of any quantity discounts her vendor will offer. For a small order (2,000 or fewer pieces), her vendor quotes a price of $1.80 /piece. If she orders 2,0015,000 pieces, the price drops to $1.60/ piece. 5,00110,000 pieces brings the price to $1.40/ piece, and 10,001 and above reduces the price to $1.25. Lisa's order costs are $200 per order, her annual holding costs are 5%, and the monthly demand is 3750 pieces. For the best option: a. What is the optimal order quantity given the discount levels? b. What is the annual holding cost at the optimal quantity? $ c. What is the total annual cost, including ordering, holding, and purchasing the silverware? $