In: Advanced Math
A large tank with total capacity of 400 gallons is filled with 300 gallons of fluid in which 50 lbs. of salt is dissolved. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well mixed solution is pumped out at a slower rate of 2 gal/min.
a. Find the number A(t) of pounds of salt in the tank at time t.
b. When will the tank overflow?