A50 gallon tank is filled with a solution that contains 10 pounds of salt. fresh water is pumped into the tank at a rate of 5 gallons per minute. the well-stirred mixture is pumped out at the same rate.

a) find q(t) for the amount of salt in the tank after t minutes.

b) find the amount of salt in the tank after 2 minutes.

c) find the limit of q(t) as t approaches infinity. interpret the result.