Write the PAG and corresponding dual for the two layouts in Figure $5\mathrm{.}52.$ Be sure to represent the external boundary using a node.

$\backslash$table$[[1,2,3,4],[5,6,7,8]]$

$($a$)$

FIGURE $5\mathrm{.}52$ Two layouts. $($a$)$ Two$-$row layout and $($b$)$ multi$-$row layout.

Consider the multirow layout problem and the flow matrix provided in Example $5\mathrm{.}3.$

$($a$)$ Identify a maximal PAG.

$($b$)$ Draw the dual of the maximal PAG.

$($c$)$ Based on the graphs and assuming equal sized departments, develop a detailed layout by trial and error.