Assume the economy consists of 3 sectors namely agriculture (A), manufacturing (M) and energy (E). In general, part of the output from one sector will be used by other sectors through purchases and the surplus will be sold to meet the final consumer demand. The buying and selling relationships are shown by the matrix below. [0.2 0.2 0.11 0.2 0.4 0.1 L0.1 0.2 0.31 Calculate the total production if the final consumer demand is 80 units for A, 60 units for M and 50 units for E.