Consider a warehouse illustrated by the figure below. Thirty-two bays (25 25) are available for storage. 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.

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Product Area (ft) Weekly Load Rate ABCD 4,375 500 7,500 1,500 6,250 600 700 400 a. Formulate the problem using the model discussed in Section 10.3. b. Determine the layout that will minimize the average distance traveled per week. Dock 1 25 ft Dock 2 Dock 3