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Departments A through E of a company manufacture bookcases using a line flow sys

ID: 427869 • Letter: D

Question

Departments A through E of a company manufacture bookcases using a line flowsystem. The table below shows capacity amounts for processing feet of lumber in each department.

Dept Capacity ( Feet per hour)

A 100

B 85

C 120

D 60

E 90

Suppose the lumber arrives at Department A with a rate of 45 feet per hour (i.e., available input = 45) and the demand is not constraining the process. Which of the following statements is false?

The bottleneck department of the manufacturing process is D.

The process capacity is 60 feet per hour.

The flow rate of the system is 45 feet per hour.

The process utilization is 75%.

The lowest utilization of all departments is 37.5%.

The system is currently a capacity-constrained process.

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Assume now that neither the input nor the demand is constraining the process. How could the overall system/process capacity be increased to 90 feet per hour?

Increase the capacity of Department B by 5 feet per hour

Explanation / Answer

The process is a line process; therefore, the manufacturing process will be A through E which means it will first start from A, then it will be passed to B, then to C, then to D and finally to E to get the processed product.

The bottleneck department of the manufacturing process is D. (FALSE)

            Bottleneck department means the department having limited capacity and it reduces the capacity of the whole process. Since, the lumber arrives at a rate of 45 feet per hour and all the departments have capacity greater than this. Therefore, there is no bottleneck department in the process.

The process capacity is 60 feet per hour. (TRUE)

The flow rate of the system is 45 feet per hour. (TRUE)

The process utilization is 75%. (TRUE)

            Process Utilization = 45/60*100% = 75%

The lowest utilization of all departments is 37.5%.

            Lowest Utilization = 45/120*100% = 37.5%

The system is currently a capacity-constrained process. (FALSE)

The answer would be Increase the capacity of Department D by 30 feet per hour and that of Department B by 5 feet per hour to increase the overall system/process capacity to 90 feet per hour as if there are department with less than 90 feet per hour of capacity, then that department would become a bottleneck and it would be impossible to reach the overall capacity to 90 feet per hour.

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