Consider an economy with three sectors: fuels and power, manufacturing, and services. fuels and power sells 80% of its output to manufacturing, 10% to services, and retains the rest. manufacturing sells 10% of its output to fuels and power, 80% to services, and retains the rest. services sells 20% to fuels and power, 40% to manufacturing, and retains the rest. a. construct the exchange table for this economy. b. develop a system of equations that leads to prices at which each sector’s income matches its expenses. then write the augmented matrix that can be row reduced to find these prices. c. [m] find a set of equilibrium prices when the price for the services output is 100 units.