A lake has suffered from pollution emanating from the chemical plant on its shoreline for the last fifty years. As a result, the waters of the lakea total of 50,000,000 gallonscurrently contain a total of 1,000,000 pounds of toxic waste. The EPA has just told the chemical plant that they must reduce the amount of toxic waste that they dump into the lake to a total of 4 pounds per day. The total amount of liquid entering the lake from streams and rainfall, and including the waste dumped by the chemical plant, is 20,000 gallons a day, and this same amount per day leaves the lake by the river, so that the lake level is always constant. Write down the initial value problem that models this scenario and show your steps. box the answer please