(Solved):   The top view of a processing line in an industrial facility is shown in Figure below. The ...

 

The top view of a processing line in an industrial facility is shown in Figure below. The processing line machinery and thermal equipment are located in the gray area. Water is to be supplied to the processing line at points A, B, and C. The water source is an elevated tank that is kept full by a pump controlled by a water-level sensor in the tank. The water source is available at point S. Points A, C, and S are all at the same elevation. The water demand at each point is, \( 2.5 \mathrm{~L} / \mathrm{s} \) at A, \( 3.5 \mathrm{~L} / \mathrm{s} \) at B, and \( 1.5 \mathrm{~L} / \mathrm{s} \) at \( \mathrm{C} \). The water demand for points \( \mathrm{A} \) and \( \mathrm{C} \) occur intermittently, although they may coincide. The demand at points A and \( \mathrm{C} \) occurs only during the working shifts. The water demand at point \( \mathrm{B} \) occurs during the non-shift hours and is also intermittent. Piping can only be installed in a 3 -m wide space around the processing line. No piping is allowed above, underneath, or though the processing area. Identify the piping layout that can help you in optimizing the cost. Show all the steps involved in your analysis.