13. Bill\'s Barbershop has two barbers available to cut customers hair. Both bar

Question

13. Bill's Barbershop has two barbers available to cut customers hair. Both barbers provide roughly the same experience and skill, but one is just a little bit slower than the other. The process flow below shows that all customers go through steps B1 and B2 and then can be served at either of the two barbers at step B3. The process ends for all customers at step B4. The numbers in parentheses indicate the minutes it takes that activity to process a customer, ??-? (15) B1 B2 (10) B4 B3-b (10) a. How long does it take the average customer to complete this process? b. What single activity is the bottleneck for the entire process? B c. How many customers can this process serve in an hour? minutes. (Enter your response rounded to one decimal place.) customers per hour. (Enter your response as an integer.)

Explanation / Answer

a. The process B3 has an equal chance to be carried away by B3-a and B3-b. Therefore, the time taken by an average customer will be B1(8)+B2(10)+0.5*(B3-a(15)+B3-b(10))+B4(9) which is equal to 39.5 minutes.

b. The activity B3 is the bottleneck for the entire process as this is taking the maximum time in the entire process.

c. Since, the average time for the entire process is 39.5 minutes. Therefore, in an hour only one customer can be served by one barber. But, since there are 2 barbers then 2 customers can be served.

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