Leo manages a receiving station for rice. Farmers deliver their loads of rice with a rate of 150 tons per hour from 6:00 am to 2:00 pm. Leo can process them at a rate of 100 tons an hour. The station has room to hold only 200 tons of rice in inventory prior to processing. Once this space is filled, the farmers’ trucks must wait to dump their contents. Leo is considering using seasonal workers to help him with the processing of rice loads. When the seasonal workers are working, the processing rate increases to 125 tons per hour. The seasonal workers would start working at 10:00 am and finish working when the trucks stop waiting. At what time, Leo will finish processing loads of rice using these seasonal workers?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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4- Leo manages a receiving station for rice. Farmers deliver their loads of rice with a rate of 150 tons per hour from 6:00 am to 2:00 pm. Leo can process them at a rate of 100 tons an hour. The station has room to hold only 200 tons of rice in inventory prior to processing. Once this space is filled, the farmers’ trucks must wait to dump their contents. Leo is considering using seasonal workers to help him with the processing of rice loads. When the seasonal workers are working, the processing rate increases to 125 tons per hour. The seasonal workers would start working at 10:00 am and finish working when the trucks stop waiting. At what time, Leo will finish processing loads of rice using these seasonal workers?

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