The Leontief matrix for a 3 sector economy (agriculture, manufactur- ing, transportation, respectively) is [4 .1 .2] 20 A 3.4 .5 = The production vector is x = 30 .2.20 10 (a) Calculate the number of units of agricultural, manufacturing and transportation goods which are required to make production x (that is, calculate the inputs of the production). (b) Hence calculate the corresponding demand vector d.