Suppose 100 grams of dye is dissolved in a 1000 liter tank….

Suppоse 100 grаms оf dye is dissоlved in а 1000 liter tаnk. A mixture with a concentration of 3 grams/liter is being pumped into the tank at a rate of 4 liters per minute. As the fresh water is being added, a well mixed solution in the tank is being drained out at the same rate.  Solve the initial value problem to find the function Q(t) that gives the amount of dye in the mixture at time t. Submit your answer with your written work in "Final Exam PDF Paper Submission."