Consider the peak-day wet berry inventory profile in the Figure above, where wet berries arrive between 7 AM to 7 PM at the rate of 1050 bbls/hour, processing starts at 8 AM at the rate of 600 bbls/hour (with three dryers). Assume that trucks delivering berries to the plant each carry 75 bbls of berries, trucks will wait when the bin storage capacity of 3200 is full, and the cost of a waiting truck is 100$/hour, per truck. Calculate the daily average cost of waiting trucks for the inventory profile in the Figure below. Show the approach you used to calculate average cost of waiting trucks.

 

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cranberries Wet in the system 6000 3000 7am 3200bbls max. storage 450bbis/h (1050 in, 600 out) 1050bbls/h (1050 in, 0 out) 11am 3pm Assumptions: It takes 1 hour for a berry to reach the dryer • Uniform arrival over 12 hours 7pm -600bbls/h (0 in, 600 out) 11pm • 18,000 bbls/day wet: 70% (12600 bbls/day) 3am cranberries Wet in the system 6000 3000 7am 3200bbls max. storage 450bbis/h (1050 in, 600 out) 1050bbls/h (1050 in, 0 out) 11am 3pm Assumptions: It takes 1 hour for a berry to reach the dryer • Uniform arrival over 12 hours 7pm -600bbls/h (0 in, 600 out) 11pm • 18,000 bbls/day wet: 70% (12600 bbls/day) 3am

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Approach to calculate the average cost of waiting trucks Calculate the total waiting time for trucks ... View the full answer