In a harbour, there are 2 landing places. Ships arrive at a rate of 8 per day (exponentially distributed).Cranes at a landing places, load or unload the ships with the rate of 4.2 per day. If all places areoccupied, a ship has to wait for one to be available. The harbour company makes a profit of $250from a ship that is not waited. For each day in the queue, ships pay $25 less. The management ofthe harbour considers two options to improve the system: Option I: A new landing place could bebuilt for $10,000. Option II: Existing landing places could be improved to serve 4.9 ships per day for$15,000a. Calculate the average queue length for the current system.b. Which option should be picked to improve the profit per year?c. If the improvement options could be implemented together, would you recommend it? Why?

A) Calculate the average queue length for the current system

Answered: In a harbour, there are 2 landing…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Town Taxi uses three dispatchers to handle requests for service and to dispatch the cabs. The telephone calls that are made to Town Taxi use a common number. When all dispatchers are busy, the caller hears a waiting song until the first dispatchers becomes available. The telephone system will assign available dispatcher to the waiting callers according to FCFS. Assume that the arrival of calls follows a Poisson distribution, with an average of 35 calls per hour. Also assume that the time that each dispatcher spends with a customer follows Exponential distribution and each dispatcher takes an average of 3 minutes with each caller. 15.What is the average time in minutes that a customer spends in the system? 3.8 mins 7 mins 4.8 mins 8.9 mins
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