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A Chemical industry is unable to satisfy customer demand for one of its products. The various departments with capacity and precedence are shown in Table 2-1. The ratios for mixing the outputs from processes B, C and D are 2, 2 and 1 respectively. The ratio for departments F and G is 1 to 1 and the ratio for departments H and I is 4 to 1. Calculate the following: (i) The system capacity; (ii) Determine which department is the bottleneck; (iii) How much system capacity can be gained by adding capacity to the bottleneck? Department A B C D E F G H I J Table 2-1 Capacity (liters/Hour) 300 250 250 250 600 550 600 1100 300 1200 Precedence A B,C & D E F & G H & I

A Chemical industry is unable to satisfy customer demand for one of its products. The various departments with capacity and precedence are shown in Table 2-1. The ratios for mixing the outputs from processes B, C and D are 2, 2 and 1 respectively. The ratio for departments F and G is 1 to 1 and the ratio for departments H and I is 4 to 1. Calculate the following: (i) The system capacity; (ii) Determine which department is the bottleneck; (iii) How much system capacity can be gained by adding capacity to the bottleneck? Department A B C D E F G H I J Table 2-1 Capacity (liters/Hour) 300 250 250 250 600 550 600 1100 300 1200 Precedence A B,C & D E F & G H & I

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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A Chemical industry is unable to satisfy customer demand for one of its products. The various departments with capacity and precedence are shown in Table 2-1. The ratios for mixing the outputs from processes B, C and D are 2, 2 and 1 respectively. The ratio for departments F and G is 1 to 1 and the ratio for departments H and I is 4 to 1. Calculate the following: (i) The system capacity; (ii) Determine which department is the bottleneck; (iii) How much system capacity can be gained by adding capacity to the bottleneck? Department A B C D E F G H 1 J Table 2-1 Capacity (liters/Hour) 300 250 250 250 600 550 600 1100 300 1200 Precedence A B,C & D E F & G H & I
Transcribed Image Text:A Chemical industry is unable to satisfy customer demand for one of its products. The various departments with capacity and precedence are shown in Table 2-1. The ratios for mixing the outputs from processes B, C and D are 2, 2 and 1 respectively. The ratio for departments F and G is 1 to 1 and the ratio for departments H and I is 4 to 1. Calculate the following: (i) The system capacity; (ii) Determine which department is the bottleneck; (iii) How much system capacity can be gained by adding capacity to the bottleneck? Department A B C D E F G H 1 J Table 2-1 Capacity (liters/Hour) 300 250 250 250 600 550 600 1100 300 1200 Precedence A B,C & D E F & G H & I
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ISBN:
9781337406659
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