A company produces two types of goods $A$ and $B$ that require gold and silver. Each unit of type $A$ requires $1\; gm$ of silver and $2 \;gm$ of gold. Type $B$ requires(each unit) $2\; gm$ of silver and $1\;gm$ of gold. The company has only $80\; gm$ of gold. Each unit of type A brings profit of $Rs. 500$ and each unit of type $B$ brings profit of $Rs. 400.$ Find the no of units of each type the company should produce to maximize the profit.

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