A 1000L tub containing red and white plastic beads is initially full and 30% of the...

A 1000L tub containing red and white plastic beads is initially full and 30% of the beads are red. Some workers are constantly dumping buckets of beads (2L size, containing half red and half white) into the tub at a rate of 1 bucket every 30 seconds. Other workers are continuously stirring the beads and, as necessary, removing excess volume.

(a) Write an IVP which describes this situation.

(b) Solve the IVP.

(c) How much (units are liters) of red and white beads will be in the tank after an hour?

(d) In the long term, how many white beads (in volume) will be in the tank?

Expert Solution

Colby Messinger answered 2 years ago

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