Question 2 (20 points) Assume that two very large tanks A and B are interconnected and that the solutions in them are well-mixed at any time. A B Initially, tank A contains 200 gallons of water in which 50 grams of salt are dissolved, and tank B contains 150 gallons of water in which 40 grams of salt are dissolved. When t > 0, another brine solution is pumped into tank A at a rate of 5 gallons per minute with the concentration of 8 grams per gallon, and the solution in tank A flows to tank B at a rate of 5 gallons per minute. The well-mixed solution in tank B flows to tank A at a rate of 2 gallons per minute and also flows out of tank B at a rate of 3 gallons per minute. Construct a mathematical model that describes the number of grams of salt x1 (t) and x2 (t) in tanks A and B, respectively, at time t. DO NOT SOLVE THE IVP