$5\mathrm{.}1$ Figure EX $5\mathrm{.}1$ shows the relationship diagram among the seven sections of a preferred provider organization $($PPO$)$ office. The dimensions of the OB$/$GYN$,$ orthopedics, family practice, pediatrics, and radiology departments each are $200$ by $200$ feet; the reception area and supply room each are $200$ by $400$ feet. Arrange these seven departments in a space given as $600$ by $600$ feet, so that the layout meets the conditions specified in the relationship diagram matrix. Figure EX$5\mathrm{.}1$

a$.$ Identify the A $($absolutely necessary$)$ and X $($undesirable$)$ relationships

b$.$ Trace each A and X back to the associated departments, each letter on the closeness rating chart is at an intersection between $2$ departments

c$.$List the correlation of the departments ; e$.$g$.$ OB$/$GYN and the supply room have an X relationship, this is listed as a $1-7$ relationship under X on the template.

d$.$ Identify the most frequent department in each relationship

e$.$ Please complete chart; partial examples

Background info: Developing the facility layout it is like putting a puzzle together on a $600$ X $600$ grid. The size of the departments are listed in the problem:

OB$/$GYN$,$ orthopedics, family practice, and radiology are $200$ X $200$

Reception area and supply room are $200$ X $400.$Place the departments on the grid so you respect the A and X relationships identified in the first part of the problem.