Final answer:
To minimize total transportation cost, create a weighted from-to diagram and a dimensionless block diagram to determine the layout.
Step-by-step explanation:
The objective of this problem is to assign the five departments (1 to 5) to locations B - F on a grid, with department 6 assigned to location A. The goal is to minimize total transportation cost. To evaluate the cost, we need to consider the distances between the centers of the locations and the flows between the departments. Once we have this information, we can create a weighted from-to diagram and a dimensionless block diagram to determine the layout and calculate the total transportation cost.