A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $ 0.5 per load per meter moved. An analyst has prepared the following distances and flow matrices: From/To | || III Distances (meters) || ||| 10 20 30 Flows (loads per week) From/To Y Z X 41 90 Y Z 40 110 - 178 159 What is the weekly interdepartmental transportation cost using the least costly layout (Round to the nearest whole number)?