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A company produces two types of goods, A...

A company produces two types of goods, `A` and `B`, that require gold and silver. Each unit of type `A` requires `3 gm` of silver and `1 gm` of gold while that of type `B` requires `1 gm` of silver and `2 gm` of gold. The company can use `9 gm` of silver and `8 gm` of gold. If each unit of type `A` brings a profit of Rs. `40` and that of type B Rs. `50`, find the number of units of each type that the company should produce to maximise the profit. What is the maximum profit.

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