A junior Industrial Engineer has been assigned to improve the operational

efficiency of a job shop. The job shop produces ten $(10)$ different types of

products, in different quantities. Seven $(7)$ different machines are used to

process the components. Table A$1$ below illustrates the machine routing of each

part as extracted from the route sheets.

Table A$1$

You are required to:

I. Develop the part$-$machine incidence matrix.

II$.$ Apply an algorithm of your choice to identify the logical part families.

III. Identify the machine cells to process respective part families.

IV$.$ Briefly discuss the relevance of the demand quantities in your decision

making.