Problem 18-4 The following information pertains to telephone calls to a motel switchboard on a typical Tuesday. UseTable 1.
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Problem 18-4

The following information pertains to telephone calls to a motel switchboard on a typical

Tuesday. Use Table 1.


 

  Period Incoming Rate (calls per minute) Service Rate (calls per minute per operator) Number of Operators 

 Morning 2 .1 1.4 2  

Afternoon 2.4 1.2 3

  Evening 1.8 .6 4


 

a.Determine the average time callers wait to have their calls answered for each period and the probability that a caller will have to wait for each period. (Round intermediate calculations and final answers to 3 decimal places.)


 

  Period Pw  

Morning         

Afternoon         

Evening       


 

b.Determine the maximum line length for a probability of 90 percent. (Round your intermediate calculations to 3 decimal places and round up your final answers to the next whole number.)


 

  Period Lmax 

 Morning      

  Afternoon        

 Evening       

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