Lambton's management team wants to arrange the six departments of its factory in a way that will minimize interdepartmental material$-$handling costs. They make an ir Time left $0$:$50$:$03$ assumption $($to simplify the problem$)$ that each department is $2020$ feet and that the building is $60$ feet long and $40$ feet wide. For this problem, Lambton assumes that a forklift carries all interdepartmental loads. The cost of moving one load between adjacent departments is estimated to be $$2.$ Moving a load between nonadjacent departments costs $$4.$ Below you will see the current department plan and load movement chart. Calculate the total cost for the current layout.