Tank A contains 250 lbs of salt dissolved in 1000 gal of water. Tank B contains 300 lbs of salt dissolved in 1000 gal of water. The mixture from tank A is pumped to tank B at the rate of 400 gal per hr, while the mixture from tank B is pumped to tank A at the same rate. Assume that the mixture in each tank is uniform by stirring. Let A(t ) and B(t ) be the amount of salt in tanks A and B after t hours, respectively.
(a) Draw a two-compartment model for A(t ) and B(t ) .
(b) Use the initial conditions A(0) = 250 and B(0) = 300 to solve for A and B.
(c) What are the equilibrium values of A and B?
Mathematics
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