t:\mgt\ghw\opsmgt\pm971113 EOQ for Production - Class Example Continuing with the Fantom Tire Store example for ordering and stocking their XX13 Michlean size 22f tires. Suppose that rather than just selling tires we also produce the tires. We will use the same data as in the previous problem except that when we order a production run of the tires there is a period of time when we produce and sell the tires, then after a build-up of inventory we stop production and sell from inventory. This has the effect of reducing the average inventory and thus will affect our EOQ. Demand for tires: 400 per year Holding cost: $0.80 per week per tire. Cost of placing an order: $20 per order for the production run In addition to the above information we also need to know the production rate which we will assume to be 1200 tires per year. Also since we are producing the tires lead times are negligible and thus safety stock is also negligble. (A) ECONOMIC ORDER QUANTITY (EOQ). How many tires should be purchased per order to minimize the total ordering and carrying costs? EOQ2 = [(2DS/H)] [p/(p-u)] where p = production rate u = utilization rate (B) Weekly Production Rate: (C) Weekly Sales Rate: (D) Cycle Time: (1)How long will the production run last before having to reorder another production run? (2) How long will it take to produce the required EOQ of tires? (e) Graph of Inventory Plan. 20|---------------------------------------------------------|---------------------------------------------------------16|---------------------------------------------------------|---------------------------------------------------------12|---------------------------------------------------------|---------------------------------------------------------8|--------------------------------------------------------|---------------------------------------------------------4|--------------------------------------------------------|---------------------------------------------------------0+---+----+----+----+----+----+----+----+----+----+----+---0 1 2 3 4 5 EOQ for Production - Assignment Continue with the Tuna assignment, assume now that we produce the cans of tuna and now want to decide how many cans of tuna should be in a production run. Demand: Holding cost: Cost of setup: Rate of production: 5.4 cans/day (maybe this is in 1,000s of cans) Consider that the lead times are negligible and thus safety stock is also negligible. (A) ECONOMIC ORDER QUANTITY (EOQ). EOQ2 = [(2DS/H)] [p/(p-u)] where p = production rate u = utilization rate (B) Weekly Production Rate: (C) Weekly Sales Rate: (D) Cycle Time: (1)How long will the production run last before having to reorder another production run? (2) How long will it take to produce the required EOQ? (e) Graph of Inventory Plan. 20|---------------------------------------------------------|---------------------------------------------------------16|---------------------------------------------------------|---------------------------------------------------------12|---------------------------------------------------------|---------------------------------------------------------8|--------------------------------------------------------|---------------------------------------------------------4|--------------------------------------------------------|---------------------------------------------------------0+---+----+----+----+----+----+----+----+----+----+----+---0 1 2 3 4 5