Kapoda travel agency deals with numerous personal colors each day and prides itself on its level of service.The time to deal with each color depends on the clients requirements which range from say a request for a brochure to booking around the world cruise.If clients have to wait more than 10 minutes for attention it is ABs policy for the manager to see them personally and to give them Ksh. 50000 holiday voucher. Observations have shown that the time taken to deal with client and their arrival partterns follows distribution bellow Time to deal with clients Minutes 2 4 6 10 14 20 30 Probability 0.05 0.10 0.15 0.30 0.25 0.10 0.05 Time between arrivals Minutes 1 8 15 25 Probability 0.2 0.4 0.3 0.1 Required: Describe how you would simulate the operation of the travel agency. Simulate the arrival and serving of 12 clients and show the number of customers who receive voucher (use Line 1 of the random numbers bellow to drive the arrival pattern and line 2 for the serving time. Random Numbers Line 1 03 47 43 73 86 36 96 47 36 61 46 98 Line 2 63 71 62 33 26 16 80 45 60 11 14 10 iii. Calculate the weekly cost of vouchers, assuming the proportion receiving voucher derived from (ii) applies throughout the week of 50 opening hours

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Kapoda travel agency deals with numerous personal colors each day and prides itself on its level of service.The time to deal with each color depends on the clients requirements which range from say a request for a brochure to booking around the world cruise.If clients have to wait more than 10 minutes for attention it is ABs policy for the manager to see them personally and to give them Ksh. 50000 holiday voucher. Observations have shown that the time taken to deal with client and their arrival partterns follows distribution bellow

Time to deal with clients	Minutes	2	4	6	10	14	20	30
Probability	0.05	0.10	0.15	0.30	0.25	0.10	0.05

Time between arrivals	Minutes	1	8	15	25
Probability	0.2	0.4	0.3	0.1

Required:

Describe how you would simulate the operation of the travel agency.
Simulate the arrival and serving of 12 clients and show the number of customers who receive voucher (use Line 1 of the random numbers bellow to drive the arrival pattern and line 2 for the serving time.

Random Numbers
Line 1	03	47	43	73	86	36	96	47	36	61	46	98
Line 2	63	71	62	33	26	16	80	45	60	11	14	10

iii. Calculate the weekly cost of vouchers, assuming the proportion receiving voucher derived from (ii) applies throughout the week of 50 opening hours

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