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Please solve complete W. W. Grainger, Inc., is a leading supplier of maintenance, repair, and operating (MRO) products to businesses and institutions in the United

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W. W. Grainger, Inc., is a leading supplier of maintenance, repair, and operating (MRO) products to businesses and institutions in the United States, Canada, and Mexico, with an expanding presence in Japan, India, China, and Panama. The company works with more than 5,000 suppliers where Grainger offers nearly 1.5 million products. The products range from industrial adhesives used in manufacturing, to hand tools, janitorial supplies, lighting equipment, and power tools. When something is needed by one of its customers, it is often needed quickly, so quick service and product availability are key drivers to Grainger's success. Grainger works with over 250 suppliers in the China and Taiwan region. These suppliers produce products to Grainger's specifications and ship to the United States using ocean freight carriers from four major ports in China and Taiwan. From these ports, product is shipped to U.S. entry ports in either Seattle, Washington, or Los Angeles, California. After passing through customs, the 20- and 40 -foot containers are shipped by rail to Grainger's central distribution center in Kansas City, Kansas. The containers are unloaded and quality is checked in Kansas City. From there, individual items are sent to regional warehouses in nine U.S. locations, a Canadian site, and Mexico. In the United States, approximately 40% of the containers enter in Seattle, Washington, and 60% at the Los Angeles, California, port. Containers on arrival at the port cities are inspected by federal agents and then loaded onto rail cars for movement to the Kansas City distribution center. Variable costs for processing at the port are $5.00 per cubic meter (CBM) in both Los Angeles and Seattle. The rate for shipping the containers to Kansas City is \$0.0018 per CBM per mile. In Kansas City, the containers are unloaded and processed through a quality assurance check. This costs $3.00 per CMB processed. A very small percentage of the material is actually sent back to the supplier, but errors in quantity and package size are often found that require accounting adjustments. Items are stored in the Kansas City distribution center, which serves nine warehouses in the United States. Items are also sent to warehouses in Canada and Mexico, but for the purposes of this study we focus on the United States. The nine warehouses each place orders at the distribution center that contains all the items to be replenished. Kansas City picks each item on the order, consolidates the items onto pallets, and ships the items on 53 -foot trucks directed to each warehouse. Truck freight costs \$0.0220 per CBM per mile. The demand forecasts for the items purchased from China/Taiwan for next year in cubic meters, as well as the shipping distances, are given in the following table: Although a high percentage of demand was from warehouses either south or east of Kansas City, the question has surfaced concerning the 18 percent that will be shipped to Kansas City and then shipped back to the Los Angeles warehouse. This double-transportation could potentially be eliminated if a new distribution center were built in Los Angeles. The idea might be to ship material arriving at the Seattle port by rail to a new Los Angeles distribution center, which would be located at the current location of the Los Angeles warehouse. It is estimated that the Los Angeles facility could be upgraded at a one-time cost of $1,500,000 and then operated for $350,000 per year. In the new Los Angeles distribution center, containers would be unloaded and processed through a quality assurance check, just as is now done in Kansas City. The variable cost for doing this would be $5.00 per CBM

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