Initially, a large tank with capacity of 100 gallons haves 50 gallons of pure water. A salt solution with oncentration of 0.1 lb/gal flows in the tank at the rate of 4 gal/min. The mixture is kept well stirred as well as flows out of the tank at the rate of 2 gal/min.
(A) Compute the initial-value problem that desscribes the amount of salt in the tank.
(B) Compute the amount of salt in the tank until the tank overflows.
(C) Compute the concentration of salt in the tank until the tank overflows.