A container is initially filled with 200 L of pure milk. To make chocolate milk, some chocolate syrup is then added at the top of the container at a...

A container is initially filled with 200 L of pure milk. To make chocolate milk, some chocolate

syrup is then added at the top of the container at a rate of 2L/min. At the same time, pure milk is

added at the top of the container at a rate of 3L/min. Meanwhile, the uniformly mixed solution is

withdrawn from the bottom of the container at a rate of 6L/min.

Write down (do not solve) the IVP describing the time evolution of:

(i) The amount (volume) of chocolate milk, i.e. the mixture.

(ii) The amount of chocolate syrup in the container.