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 A1 below illustrates the machine routing of each part as extracted from the route sheets. Part Weekly quantity Machine routing Part Weekly quantity Machine routing A 50 3 2-7 F 60 5-1 B 20 61 3 2 4 75 6 5 H 100 3 2 4-7 D 10 65-1 I 40 24-7 E 12 32-7-4 J 15 561 Table A1 You are required to: 1. Develop the part-machine incidence matrix. (5) II. Apply an algorithm of your choice to identify the logical part families. (20) III. Identify the machine cells to process respective part families. (5) IV. Briefly discuss the relevance of the demand quantities in your decision making. (5)