FixMyPhone is a 24-hour 7-day-a-week cellphone repair business. It employs 2 technicians at all times of...
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FixMyPhone is a 24-hour 7-day-a-week cellphone repair business. It employs 2 technicians at all times of the day and night, who are all equally skilled at repairing cellphones. On average 12 customers come to the store to drop their broken cellphone per day. The coefficient of variation of the time between two customer arrivals is 1. At the store, broken cellphones are temporarily stored in a box until a technician is free to take a look at it. Once they have completed a repair, the technicians go to the box and start working on the cellphone which have been in the box for the longest amount of time. It takes on average 3 hours for a technician to fix a cellphone, but this number varies greatly (the standard deviation is 3 hours). Once a phone has been fixed, the customer is notified that it is ready for pickup. (a) What is the average inter-arrival time in this process? Express you answer in hours. (1 day = 24 hrs) QUESTION 2 (b) What is the coefficient of variation for processing times, that is, CVp? QUESTION 3 (c) This process is... demand-constrained O capacity-constrained both demand and capacity constrained Not enough information to answer QUESTION 4 (d) What is the utilization of this process? Enter your answer as a percentage, round to two decimals if necessary. For example, if your answer is 54.64% enter 54.64. (e) In the long run, what will be the average time a cellphone spends in the box? Express your answer in hours, round to two decimals if necessary. QUESTION 6 (f) In the long run, what will be the average time between the moment the customer drops off the phone and the moment when the phone is repaired and ready for pickup? Express your answer in hours, round to two decimals if needed QUESTION 7 (g) In the long run, how many cellphones will there be on average in the box? Round your answer to two decimals if needed FixMyPhone is a 24-hour 7-day-a-week cellphone repair business. It employs 2 technicians at all times of the day and night, who are all equally skilled at repairing cellphones. On average 12 customers come to the store to drop their broken cellphone per day. The coefficient of variation of the time between two customer arrivals is 1. At the store, broken cellphones are temporarily stored in a box until a technician is free to take a look at it. Once they have completed a repair, the technicians go to the box and start working on the cellphone which have been in the box for the longest amount of time. It takes on average 3 hours for a technician to fix a cellphone, but this number varies greatly (the standard deviation is 3 hours). Once a phone has been fixed, the customer is notified that it is ready for pickup. (a) What is the average inter-arrival time in this process? Express you answer in hours. (1 day = 24 hrs) QUESTION 2 (b) What is the coefficient of variation for processing times, that is, CVp? QUESTION 3 (c) This process is... demand-constrained O capacity-constrained both demand and capacity constrained Not enough information to answer QUESTION 4 (d) What is the utilization of this process? Enter your answer as a percentage, round to two decimals if necessary. For example, if your answer is 54.64% enter 54.64. (e) In the long run, what will be the average time a cellphone spends in the box? Express your answer in hours, round to two decimals if necessary. QUESTION 6 (f) In the long run, what will be the average time between the moment the customer drops off the phone and the moment when the phone is repaired and ready for pickup? Express your answer in hours, round to two decimals if needed QUESTION 7 (g) In the long run, how many cellphones will there be on average in the box? Round your answer to two decimals if needed
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SOLUTION To answer the questions we need to analyze the given information and make some calculations based on the provided data a The average interarrival time can be calculated by taking the reciproc... View the full answer
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