Calculate the average down machines in the entire system

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Reference no: EM132221775

(American Vending Part B) American Vending supplies vended food to a large university. Because students often kick the machines out of anger and frustration, management has a constant repair problem. The machines break down in a mean of 1/3 hours with a standard deviation of 1/3 hours. One repair worker can service one machine in a mean of 1/5 hours with a standard deviation of 1/5 hours. Currently, three repair workers are hired. Each repair worker is paid $4 per hour and downtime costs the company $25 per hour per machine.

1. (American Vending Part B) Use the queueing template posted on Blackboard to calculate the average flow times (W) below. (a) For one repair worker, the average flow time (W) is ___. [Answer format: one decimal place] (b) For two repair workers, the average flow time (W) is ___. [Answer format: three decimal places] (c) For three repair workers, the average flow time (W) is ___. [Answer format: three decimal places] Write your answer(s) as 1.2, 3.456, 7.891

2. (American Vending Part B) Use the Little's law to calculate the average down machines in the entire system (L). (Note: To avoid rounding errors, use exactly the same average flow time (W) in the previous question.) (a) For one repair worker, the average down machines in the entire system (L) are ___. [Answer format: one decimal place] (b) For two repair workers, the average down machines in the entire system (L) are ___. [Answer format: two decimal places] (c) For three repair workers, the average down machines in the entire system (L) are ___. [Answer format: two decimal places] Write your answer(s) as 1.2, 3.45, 6.78

3. (American Vending Part B) Calculate total cost (= worker cost + downtime cost). (Note: To avoid rounding errors, use exactly the same average number of down machines (L) in the previous question.) (a) For one repair worker, the total cost is $___. [Answer format: one decimal place] (b) For two repair workers, the total cost is $___. [Answer format: integer] (c) For three repair workers, the total cost is $___. [Answer format: two decimal places] Write your answer(s) as 12.3, 45, 67.89

4. (American Vending Part B) The optimal crew size is ___. A) 1 B) 2 C) 3.

Reference no: EM132221775

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