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Long Street Taxi operates one vehicle during the 9:00 P.M. to 10:30 P.M. period on Friday and Saturday nights. Currently, consideration is being given to

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Long Street Taxi operates one vehicle during the 9:00 P.M. to 10:30 P.M. period on Friday and Saturday nights. Currently, consideration is being given to the addition of a second vehicle to the fleet. The demand for taxis follows the distribution below. Time between calls (minutes) 15 20 25 30 35 Probability 0.14 0.22 0.43 0.17 0.04 The distribution of times for each service the taxi offers is given in the table below. Service time (minutes) ( 5 15 25 35 45 Probability 0.12 0.35 0.43 0.06 0.04 If a call is received while the taxi is serving someone else, the taxi loses out on that business as the new call cannot be served (clients will not wait to be served). Use the random numbers below to simulate the operation of the current system (1 taxi) and the proposed system (2 taxis) for the period 9:00 PM to 10:30 PM on one day. A call for a lift has just been made. Comment on whether you feel the additional taxi is justified or not. Read the random numbers from left to right. 0.7304 0.8059 0.7276 0.0475 0.1419 0.7830 0.1017 0.3992 0.5500 0.9420 0.1840 0.0681 0.1757 0.8086 0.3164 0.8122 0.2825 0.5565 0.0882 0.9678 0.9096 0.1661 0.7018 0.3878 Long Street Taxi operates one vehicle during the 9:00 P.M. to 10:30 P.M. period on Friday and Saturday nights. Currently, consideration is being given to the addition of a second vehicle to the fleet. The demand for taxis follows the distribution below. Time between calls (minutes) 15 20 25 30 35 Probability 0.14 0.22 0.43 0.17 0.04 The distribution of times for each service the taxi offers is given in the table below. Service time (minutes) ( 5 15 25 35 45 Probability 0.12 0.35 0.43 0.06 0.04 If a call is received while the taxi is serving someone else, the taxi loses out on that business as the new call cannot be served (clients will not wait to be served). Use the random numbers below to simulate the operation of the current system (1 taxi) and the proposed system (2 taxis) for the period 9:00 PM to 10:30 PM on one day. A call for a lift has just been made. Comment on whether you feel the additional taxi is justified or not. Read the random numbers from left to right. 0.7304 0.8059 0.7276 0.0475 0.1419 0.7830 0.1017 0.3992 0.5500 0.9420 0.1840 0.0681 0.1757 0.8086 0.3164 0.8122 0.2825 0.5565 0.0882 0.9678 0.9096 0.1661 0.7018 0.3878

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