Suppose the rm's production set is generated by a production function f : 1R1 i~ Rf, where 1R1 represents n inputs, and R\" represent an outputs. Let Y = {(w) 6 Is: x RT: = y e no}. Suppose 1'03\") 2 0m and f{$) 2_> m') whenever I 2 :r'. Prove the following: 1. Y satises no ree lunch, possibility of inaction, free disposal, and irreversibility