Suppose the economy of a large nation has a defense industry, a banking industry, and a pharmaceutical industry. 1-unit output of defense requires 0.6 inputs of defense, 0.2 inputs of banking, and 0.2 inputs of pharmaceuticals. 1-unit output of banking requires 0.1 inputs of defense, 0.4 inputs of banking, and 0.5 inputs of pharmaceuticals. 1-unit output of pharmaceuticals requires 0.1 inputs of defense, 0.2 inputs of banking, and 0.2 inputs of pharmaceuticals.

If the nation wants to have surpluses of 106 units of defense production, 243 units of banking production, and 216 units of pharmaceutical production, find the gross production of each industry.