Using the distance$-$minimizing layout procedure, determine the best facility layout design. Remember to satisfy the highest$-$level nearness priorities first. $($Only place the squared departments in an arrangement to satisfy most of the priorities; do not try to convert the squared departments into rectangular forms as presented in the chapter.$)$

$14.$ If we have eight different departments that we want to position in a process layout and each can possibly be laid out next to one another, and each has some trips to each of the other departments, how many possible nearness priorities could we determine? What if we have ten different departments?

$*15.$ Suppose that we have a product that we want to assemble on a product layout system. The job tasks required for the completion of the product are presented with their appropriate time in seconds: