10. Two similar models, A and B, are to be produced on a mixed-model assembly line....

 

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10. Two similar models, A and B, are to be produced on a mixed-model assembly line. Hourly production rates for the two models are: for A, 7 units/hr; and for B, 5 units/hr. The work elements, element times, and precedence requirements for the two models are given in the table below. As the table indicates, most elements are common to both models. Element 5 is unique to model A, while elements 8 and 9 are unique to model B. Assume M = 1, E=1, Er 1 (a) Develop the mixed model precedence diagram for the two models and for both models combined. (b) Determine a line balancing solution that allows the two models to be produced on the four stations at the specified rates. (c) Line balance efficiency. (4) Work element k 1 min Preceded by: Telk I min Preceded by 2 3 min 3 min 3. 4 min. 1 4 min 1,8 4 2 min 2 min 8 5 I min 2 67 a 2 min 2,3,4 2 min 2,3,4 3 min 5,6 3 min 6,9 8 4 min 9 Twe 16 min 2 min 21 min 10. Two similar models, A and B, are to be produced on a mixed-model assembly line. Hourly production rates for the two models are: for A, 7 units/hr; and for B, 5 units/hr. The work elements, element times, and precedence requirements for the two models are given in the table below. As the table indicates, most elements are common to both models. Element 5 is unique to model A, while elements 8 and 9 are unique to model B. Assume M = 1, E=1, Er 1 (a) Develop the mixed model precedence diagram for the two models and for both models combined. (b) Determine a line balancing solution that allows the two models to be produced on the four stations at the specified rates. (c) Line balance efficiency. (4) Work element k 1 min Preceded by: Telk I min Preceded by 2 3 min 3 min 3. 4 min. 1 4 min 1,8 4 2 min 2 min 8 5 I min 2 67 a 2 min 2,3,4 2 min 2,3,4 3 min 5,6 3 min 6,9 8 4 min 9 Twe 16 min 2 min 21 min