A company has three items in its inventory that are purchased from the same vendor and are shipped together on the same delivery truck. The truck has a capacity of 30,000 lb. The items are under the periodic review method of inventory control and are purchased with a single purchase order that costs $60 to prepare. The annual carrying cost is 25 percent of each item's value. Other information about the items is as follows:

Due to economic considerations, the shipment size is not to exceed the truck capacity for the combined order. What size should the order quantity be for each item?

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Product Value,C Product Weight, w Weekly Demand Forecast,d 550/ case 30 25 70 lb/case 60 100 100 cases 300 200