Question: A warehouse has 20 bays (dimensions 25 ft. 25 ft. each) available for storage as shown in the figure below. Four different types of products

A warehouse has 20 bays (dimensions 25 ft. 25 ft. each) available for storage as shown in the figure below. Four different types of products (A, B, C, and D) are to be stored. Each type of product cannot share a bay with any other type of product. Products are received from Dock 1 and are shipped out in equal proportion from Docks 2 and 3. The area requirement and weekly load rate for each of these four products are shown in the table below. Determine the layout that will minimize the average distance traveled per week. Dock 1 Dock 3 Dock 2 Product Area (ft2 ) Weekly Load Rate A 4,375 100 B 3,125 200 C 2,500 300 D 1,875 400

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