You are working at an orange juice production facility. Some products (frozen cans of orange juice) require a highly concentrated juice (420 g/L), but other products (refrigerated boxes of orange juice) are packaged at regular concentration (120 g/L). You start with a stream of the concentrated juice (420 g/L) flowing at 1 L/min. You first set up a split point to withdraw a portion of the concentrated stream to package the frozen cans. For the remainder of the stream, you mix in a flow of pure water (0 g/L concentration) to dilute the concentration to 120 g/L for the boxed juice. You would like to produce 9 times more flow of the regular juice than the concentrated juice. Assume the system is at a steady state and the orange juice is not undergoing any reactions.

(a) (10 pts) Draw a diagram and label it with what variables you are assigning for flowrates and volumes of each stream, as well as all information provided in the problem.

b) (15 pts) Determine the flowrates (L/min) of concentrated juice and regular juice, and what flowrate of pure water should be added