$[40$ pts$]$ The matrix below provides data for a local wood manufacturer that wants to decrease material handling by changing from a process layout to a GT layout. It is considering installing a conveyor for intracellular movement of parts. It wishes to restrict interacellular movement. The machine$-$part matrix for the wood manufacturer is shown below. Use the direct clustering algorithm to form the cells and, if conflicts exist, propose alternative approaches for resolving the conflicts.

$\backslash$table$[[$Part No$.,$Punching,$\backslash$table$[[$Man$.],[$Welding$]],\backslash$table$[[$Rob$.],[$Welding$]],$Leak Test,Assembly,Paint$],[1,,,,,1,1],[2,1,,,1,,],[3,,,1,,,1],[4,1,1,,,,],[5,1,,,,,],[6,,,,,1,1],[7,,1,,1,,1],[8,,,1,,,1]]$The matrix below provides data for a local wood manufacturer that wants to decrease material handling by changing from a process layout to a GT layout. It is considering installing a conveyor for intracellular movement of parts. It wishes to restrict interacellular movement. The machine$-$part matrix for the wood manufacturer is shown below. Use the direct clustering algorithm to form the cells and, if conflicts exist, propose alternative approaches for resolving the conflicts.