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A company has a mango juice dispenser that initially contains 10 kg of mango concentrate dissolved...

A company has a mango juice dispenser that initially contains 10 kg of mango concentrate dissolved in 100 litres of water. Water containing mango concentrate is pumped into the dispenser at a rate of 2 liters per minute. The concentration of mango concentration in the entering water is 500 grams per liters. Another tap adds sweet water into the dispenser at a rate of 4 liters per minute. The well stirred mango juice is dispensed out a rate of 5 liters per minute. Determine the amount of mango concentrate in the dispenser at any time t.

Solve this problem through modelling/differential equation.

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