A Bismarck doughnut is filled with jelly. In a drum, doughnuts mix with fresh powder to a composition of $89\mathrm{.}6wt\%$ doughnut and the balance powder before being sent to the filler to be filled with jelly. Unfortunately, only $3\mathrm{.}10E+3$ Ibs of powdered doughnuts per hour become sellable products, and the remaining powdered doughnuts lack filling. $10\mathrm{.}2\%$ 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. $47lbs$ of powdered doughnuts per minute are sent to the filler. The final jelly composition of a Bismarck doughnut is $16\mathrm{.}2wt\%,$ and one doughnut has a mass of $1\mathrm{.}0lb.$ Calculate the following unknowns in the stream containing sellable products exiting the filler.

Component mass flow rate of doughnuts $=$

$l\frac{b}{m}in$

Component mass flow rate of powder $=$

$l\frac{b}{m}in$

Component mass flow rate of jelly $=$

$l\frac{b}{m}in$