2. (a) An economy consists of three industries: farming (F), manufacturing (M), and power (P). One unit of F requires 0.4 units of M, 0.2 units of P, and 0.1 unit from itself. One unit of M requires 0.3 units from F, 0.4 units from P and 0.2 units from itself. Power requires a total input of 0.9 to produce 1 unit. We also know that one unit of power requires 0.1 units from F, and 0.6 units from M.

(i) How many units from itself does P require to produce one unit?

(ii) Write down the input-output matrix A, with its elements in the order F, M, P