Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives: Use one consultant with an average service time of 8 minutes per customer. Expand to two consultants, each of whom has an average service time of 10 minutes per customer. If the consultants are paid $18 per hour and the customer waiting time is valued at $25 per hour for waiting time prior to service, should Agan expand to the two-consultant system? The total cost for the first scenario where there is one consultant with an average service time of 8 minutes per customer is $ fill in the blank 2. The total cost for the second scenario where there are two consultants with an average service time of 10 minutes per customer is
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives: Use one consultant with an average service time of 8 minutes per customer. Expand to two consultants, each of whom has an average service time of 10 minutes per customer. If the consultants are paid $18 per hour and the customer waiting time is valued at $25 per hour for waiting time prior to service, should Agan expand to the two-consultant system? The total cost for the first scenario where there is one consultant with an average service time of 8 minutes per customer is $ fill in the blank 2. The total cost for the second scenario where there are two consultants with an average service time of 10 minutes per customer is
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 36E
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Question
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives:
- Use one consultant with an average service time of 8 minutes per customer.
- Expand to two consultants, each of whom has an average service time of 10 minutes per customer.
If the consultants are paid $18 per hour and the customer waiting time is valued at $25 per hour for waiting time prior to service, should Agan expand to the two-consultant system?
The total cost for the first scenario where there is one consultant with an average service time of 8 minutes per customer is $ fill in the blank 2. The total cost for the second scenario where there are two consultants with an average service time of 10 minutes per customer is
TABLE 11.4 VALUES OF Po FOR MULTIPLE-SERVER WAITING LINES WITH POISSO'r,- • ARRNALS Al>:O EXPONENTIAL SERVICE TIMES IS IN THE ATTACHMENT.
Transcribed Image Text:TABLE 11.4 VALUES OF PÅ FOR
MULTIPLE-SERVER WAITING LINES WITH POISSON
ARRIVALS AND EXPONENTIAL SERVICE TIMES
Ratio X/μ
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.20
1.40
1.60
1.80
2.00
2.20
2.40
2.60
2.80
3.00
3.20
3.40
3.60
3.80
4.00
4.20
4.40
4.60
4.80
2
0.8605
0.8182
0.7778
0.7391
0.7021
0.6667
0.6327
0.6000
0.5686
0.5385
0.5094
0.4815
0.4545
0.4286
0.4035
0.3793
0.3559
0.3333
0.2500
0.1765
0.1111
0.0526
Number of Servers (k)
4
0.8607
0.8187
0.7788
3
0.8607
0.8187
0.7788
0.7407
0.7046
0.6701
0.6373
0.6061
0.5763
0.5479
0.5209
0.4952
0.4706
0.4472
0.4248
0.4035
0.3831
0.3636
0.2941
0.2360
0.1872
0.1460
0.1111
0.0815
0.0562
0.0345
0.0160
0.7408
0.7047
0.6703
0.6376
0.6065
0.5769
0.5487
0.5219
0.4965
0.4722
0.4491
0.4271
0.4062
0.3863
0.3673
0.3002
0.2449
0.1993
0.1616
0.1304
0.1046
0.0831
0.0651
0.0521
0.0377
0.0273
0.0186
0.0113
0.0051
5
0.8607
0.8187
0.7788
0.7408
0.7047
0.6703
0.6376
0.6065
0.5769
0.5488
0.5220
0.4966
0.4724
0.4493
0.4274
0.4065
0.3867
0.3678
0.3011
0.2463
0.2014
0.1646
0.1343
0.1094
0.0889
0.0721
0.0581
0.0466
0.0372
0.0293
0.0228
0.0174
0.0130
0.0093
0.0063
0.0038
0.0017
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