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A Bismarck doughnut is filled with jelly. In a drum, doughnuts mix with fresh powder to a composition of 89.1wt% doughnut and the balance powder

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A Bismarck doughnut is filled with jelly. In a drum, doughnuts mix with fresh powder to a composition of 89.1wt% doughnut and the balance powder before being sent to the filler to be jellied. Unfortunately, only 3760lb of powdered doughnuts per hour become sellable products, and the remaining powdered doughnuts lack filling. 10.2% of the unfilled doughnuts are purged to test for pastry quality, while others are recycled back and mixed with the fresh doughnut stream before they enter the drum. 57lb of powdered doughnuts per minute are sent to the filler. The final jelly composition of a Bismarck doughnut is 16.7wt%, and one doughnut has a mass of 1.0lb. Calculate the following unknowns in the stream containing sellable products exiting the filler. Component mass flow rate of doughnuts = lb/min Component mass flow rate of powder = lb/min Component mass flow rate of jelly = lb/min

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