eCourses You aro logged i Dulcia Hemphill aints out 0 A service process shown ab
ID: 344949 • Letter: E
Question
eCourses You aro logged i Dulcia Hemphill aints out 0 A service process shown above serves two types of customers. Type-1 customers must go through the A-B-C-D-H process route while Type-2 customers must go through the A-B-E-F-G-H process route. The service time for each step is shown below. Step A, 6 minutes per custome Step B, 8 minutes per customer Step C, 11 minutes per customer Step D, 11.3 minutes per customer Step E, 19.4 minutes per customer Step F 19.6 minutes per customer Step G, 12.5 minutes per customer Step H, 7 minutes per customer The process operates 11 hours per day. If 54% of the customers are the Type-1 customers and the rest are the Type-2 customers, what is the average capacity per day for the service process? The average process capacity is F12Explanation / Answer
Bottleneck operation in a path will be the one which has maximum processing time . Also, the processing time of the bottleneck operation decides processing capacity of the relevant path.
From the given information ,
The operation with maximum processing time in the path A-B-C-D-H is D with maximum processing time of 11.3 minutes per customer which is the bottleneck operation.
Therefore . capacity of the process route A-B-C-D-H is 11.3 minutes per customer
Similarly, the operation with maximum processing time in the path A-B-E-F-G-H is F with processing time of 19.6 minutes per customer which is the bottleneck operation
Therefore , capacity of the process route A-B-E-F-G-H is 19.6 minutes per customer
Operating time in a day = 11 hours = 660 minutes
Therefore ,
Number of Type 1 customers which can be handled in a day = Time available in a day / Capacity per customer = 660/ 11.3 = 58.40
Number of Type 2 customers which can be handled in a day = Time available in a day / Capacity per customer = 660 / 19.6 =33.67
It is given 0.54 fraction ( ie 54 %) of customers are of Type 1 and 0.46 ( i.e. 46% ) of customers are of Type 2
Therefore average capacity of the service process per day
= 0.54 x 58.40 + 0.42 x 33.67
= 31.536 + 14.141
= 45.677 customers per day
THE AVERAGE PROCESS CAPACITY = 45.677 CUSTOMERS PER DAY
THE AVERAGE PROCESS CAPACITY = 45.677 CUSTOMERS PER DAY
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.