Consider the economic input-output model in Problem 3 of Homework 5. Suppose the energy consumption of the three sectors is t₁ = 100 MJ/$ , t₂ = 500 MJ/$ , and t₃ = 200 MJ/$.

1. Calculate the life cycle energy consumption per dollar of final demand for each sector. (Hint: For the life cycle energy consumption of Sector 1, use f₁ = 1 and f₂ = f₃ = 0.)
2. Calculate the Energy Return on Investment for Sector 1 given that the price of energy produced from this sector is $2 per Joule.

Problem 3 of HW 5

500 50 200 200 350 1 2 100 100 150 200 300 400 200 3 VA 800 900 100 Figure 10.15 Input-output network. All flows are in dollars. demand and value added flows are shown as flows to and from human resources. Assuming this diagram to represent a static snapshot of the network, answer the following questions. 1. Represent the network as an input-output table and find the total throughput x; for each sector. 2. Determine the input-output model relating the total throughput from each sector x to the final demand fi. This will require you to find the appropriate coefficients, dij = Xij/xj. 3. Use the model derived above to determine the throughput from each sector for final demands fi = $100, f2 $300, f3 = $0. 4. From the results obtained in (3), prepare the corresponding network diagram or input-output table. You will need to show the monetary flows between all the sectors and human resources. 500 50 200 200 350 1 2 100 100 150 200 300 400 200 3 VA 800 900 100 Figure 10.15 Input-output network. All flows are in dollars. demand and value added flows are shown as flows to and from human resources. Assuming this diagram to represent a static snapshot of the network, answer the following questions. 1. Represent the network as an input-output table and find the total throughput x; for each sector. 2. Determine the input-output model relating the total throughput from each sector x to the final demand fi. This will require you to find the appropriate coefficients, dij = Xij/xj. 3. Use the model derived above to determine the throughput from each sector for final demands fi = $100, f2 $300, f3 = $0. 4. From the results obtained in (3), prepare the corresponding network diagram or input-output table. You will need to show the monetary flows between all the sectors and human resources