Suppose that production of $1$ unit of mining requires $3/7$ unit of mining, $2/7$ unit of manufacturing, $2/7$ unit of communication. To produce $1$ unit of manufacturing requires $5/7$ unit of mining, $1/7$ unit of manufacturing, and $1/7$ unit of communication. To produce $1$ unit of communication requires $0$ units of mining, $3/7$ unit of manufacturing, and $4/7$ unit of communication. Find the ratio of the three commodities in the closed model.