A unit of dish washer is produced by using 10 kg of steel and 25 kWh of electricity, and is then used for 800 times and disposed of. Producing1 kg of steel, 1 kWh of electricity and 1 unit of dish washer produces 3, 1 and 12 kg of CO2 emission, respectively, and 2, 0.5 and 4 kg of SO2 emission, respectively. Every single use of the dish washer emits 0.1 kg of CO2 and 0.02 kg of SO2. The final disposal of 1 unit of dish washer emits 1.5kg of CO2 and 1 kg of SO2. Suppose the functional unit (i.e., demand) of this product system is set as ‘800 washing cycles".
1. List the production matrix (including A and B) and demand vector (f). Calculate the scaling vector (s), inventory vector (g), system vector (q) and the intensity matrix (K).
2. Assume the average CO2 equivalent and SO2 equivalent emissions during the life cycle of a dish washer are 1000 and 500 kg per person per year, respectively. Normalize the emission results you got above.
3. Assume that climate change and acidification impacts contribute 60% and 40% towards the overall impact of the life cycle of a dish washer. What is the final result in terms of environmental impact?