A cell phone repair company works had the following new orders and end of day in
ID: 3341159 • Letter: A
Question
A cell phone repair company works had the following new orders and end of day inventory levels last week. This company should be assumed to be operating at steady state so Little’s Law can be applied.
End of Day Inventory
Orders
Sunday
79
23
Monday
82
178
Tuesday
95
99
Wednesday
80
76
Thursday
73
258
Friday
65
94
Saturday
65
14
A) What is the average arrival of orders per day? (2 points)
B) What is the average end of day inventory level? (2 points)
C) Using Little’s Law, what is the average number of hours a cell phone spent at the repair company last week? Your answer must be in hours. (3 points)
End of Day Inventory
Orders
Sunday
79
23
Monday
82
178
Tuesday
95
99
Wednesday
80
76
Thursday
73
258
Friday
65
94
Saturday
65
14
Explanation / Answer
A) What is the average arrival of orders per day?
Answer : Average arrival of orders per day = (23 + 178 + 99 + 76 + 258 + 94 + 14)/7 = 106 orders per day
B) What is the average end of day inventory level?
Answer : Average end of day inventory level =(79 + 82 + 95 + 80 + 73 + 65 + 65)/7 = 77 inventory level per day
C) Using Little’s Law, what is the average number of hours a cell phone spent at the repair company last week? Your answer must be in hours.
Answer : Number of hours in week = 7 * 24 = 168 Hours
average number of hours a cell phone spent at the repair company = 168/ [(106 -77)-1] = 6 Hours
Here i have minus 1 more as it will reduce the one cell phone which is currently getting repaired.
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