Acompany 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 $.50 per load meter moved. an analyst has prepared the following flow and distance matrices: distances (meters)from/to i ii - 10 20ii - 10iii -flows (loads per week)from/to x y zx - 0 80y 30 - 150z 100 130 -1. what are total weekly costs for an optimum layout? (a) $2,600(b) $6,200(c) $3,600(d) $8,200(e) $7,200