An employee at a candy manufacturer is mixing yellow and green candies to give to Mason Freshman. To mix them a large vat is set up initially containing 800 gallons of candies: 400 gallons of yellow candies and 400 gallons of green candies. Yellow and Green candies are each fed into the vat at a rate of 10 gallons per minute (that is yellow comes in at 10 gal/min and green also enters at 10 gal/min). The well mixed candy is then removed at a rate of 20 gal/min and packaged. One employee, bleary eyed from staying up too late cramming for differential equations accidentally dumps 200 gallons of blue candies into the vat (increasing its volume to 1000 gallons). If the machine is continued to run, how long must it operate until the the concentration of blue candy reaches 1%? Identify independent and dependent variables, set up a differential equation, compute the solution and solve the problem. An employee at a candy manufacturer is mixing yellow and green candies to give to Mason Freshman. To mix them a large vat is set up initially containing 800 gallons of candies: 400 gallons of yellow candies and 400 gallons of green candies. Yellow and Green candies are each fed into the vat at a rate of 10 gallons per minute (that is yellow comes in at 10 gal/min and green also enters at 10 gal/min). The well mixed candy is then removed at a rate of 20 gal/min and packaged. One employee, bleary eyed from staying up too late cramming for differential equations accidentally dumps 200 gallons of blue candies into the vat (increasing its volume to 1000 gallons). If the machine is continued to run, how long must it operate until the the concentration of blue candy reaches 1%? Identify independent and dependent variables, set up a differential equation, compute the solution and solve the