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 chocolatesyrup is then added at the top of the container at a rate of 2L/min. At the same time, pure milk isadded at the top of the container at a rate of 3L/min. Meanwhile, the uniformly mixed solution iswithdrawn 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.

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