Question

The National Cranberry Cooperative receives blueberries delivered by trucks each workday from 7am to 6pm. Each...

The National Cranberry Cooperative receives blueberries delivered by trucks each workday from 7am to 6pm. Each day, 10,000 kg of berries are delivered per hour. The trucks dump the berries in a bin that can hold 6000 kg of berries, and must wait if the bin is full. The plant pocesses 8,000 kg of berries per hour. Assume that the berries arrive continuously over time and each truck holds 1000kg of berries.

a) Draw a detailed inventory buildup diagram with time on the horizontal and inventory on the vertical axes. Calculate the time when:

  1. Inventory reaches the peak

  2. When the last waiting truck leaves

  3. When the plant finishes processing all the berries

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