Answer:
12.55 days
Explanation:
<em><u>Provided information
</u></em>
Number of employees 2
Average production time=1.8 days
Standard deviation=2.7 days
Inter-arrival time= 1 day
Coefficient of variation= 1 day
Standard deviation of inter-arrival time= 1 day
The coefficient of variations
<u>Inter-arrival coefficient of variation
</u>
 where
 where  is standard deviation of inter-arrival time, T is inter-arrival time and
 is standard deviation of inter-arrival time, T is inter-arrival time and  is coefficient of variation of inter-arrival time
 is coefficient of variation of inter-arrival time
 
<u>Production time coefficient of variation
</u>
 
<u><em>Total utilization time
</em></u>
 where T is the time of production, n is number of employees, U is utilization,
 where T is the time of production, n is number of employees, U is utilization,  is inter-arrival time
 is inter-arrival time
 
Therefore, utilization time by 2 employees is 0.9
<u>Expected average waiting time
</u>
 
Where  is expected average waiting time and the other symbols as already defined
 is expected average waiting time and the other symbols as already defined
Substituting 1.5 for  , 1 for
, 1 for  , 0.9 for U, 2 for n, 1 for
, 0.9 for U, 2 for n, 1 for  and 1.8 for T
and 1.8 for T
 
 and rounding off to 2 decimal places we obtain 12.55 days
  and rounding off to 2 decimal places we obtain 12.55 days
Therefore, expected duration between order received and beginning of production is approximately 12.55 days