4. A tank is used to mix sugar solutions for use in making candies at a factory. The tank initially holds 60 gallons of pure water. Two pipes that flow into the tank and a third pipe that flows out of the tank are opened. The first pipe has a solution of 0.5 pounds of sugar per gallon and flows into the tank at a rate of 7 gallons per minute. The second pipe has a solution of 1.5 pounds of sugar per gallon and flows into the tank at a rate of 4 gallons per minute. The tank is well-stirred. The mixture leaves the tank at a rate of 12 gallons per minute. Write an Initial-Value Problem that models the amount of sugar in the tank (in pounds) at any time t. You do not need to solve the problem.

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