Use the following to answer questions 16-17: 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 $0.50 per load per meter moved. Each department has a width of 10 meters. An analyst has prepared the following distances and flow matrices: FLOW's (loads per week) If departments X,Y, and Z were to be located in areas I, II, and III, respectively, what would be the total weekly transportation cost? If the locations of departments Y and Z are switched, then the total weekly transportation cost decrease by $500 the total weekly transportation cost decrease by $3500 the cost is reduced by 40% the weekly transportation cost increase by $500 the total weekly transportation cost stays the same