Material Flow Analysis Show your work. Material balance is an important technique of industrial ecology for modeling resource inputs and waste outputs. For a steady state system where the total mass remains constant, the mass of all input streams equals the mass of all output streams. EM; in $=2$Mj$,$ out where $"$i$"$ represents the input streams and $"$j$"$ represents the output streams. $1.$ The figure below shows the flow of copper as it enters and leaves the European economy over $1$ year. It is estimated that $8$ kg of copper per person enters use in society. This copper is largely in infrastructure, buildings, industry, and private households. The waste management systems in Europe recycle about $60\%$ of the copper from waste. a$)$ Apply material balances around appropriate unit processes $($indicated by the boxes$)$ to calculate the missing material flows x$,$ y$,$ and z$.$ Note the small boxes appearing within the unit process boxes represent stocks of copper and arrows leaving these boxes indicate the flows entering or leaving these stocks. There are two correct answers for x depending on whether you do a balance around Production or Fabrication $($you need to provide only one answer$)$ Identify two product examples that contain copper and that are part of the copper stock in your house. The following diagram was copied from a journal article by Sabrina Spatari and colleagues at Yale. Sabrina is a former research assistant with the Center for Sustainable Systems and a former student of Industrial Ecology at Michigan! Importityport $-190$D Semis Aloy$-$ Concentrato Elisler Cemode Finished Product Clo Borao $2802001300180200$ Production Products Cu Mil. Smelter Cathoda Fabrication $2650$ Lee Wastes Waste Refinery $4290$ & $590$ Prod. Alloy $2510-$ Manufacture Management Stock $781$ Stock $230750930$ New Scrap $200740$ Landfiled Tailings $540$ Old Samp $40$