A factory uses zinc and copper to produce 2 products - Pennies and Doorknobs. A unit of Pennies is produced from \(3\) kg of zinc and \(1\) kg of copper, while a unit of Doorknobs is produced from \(2\) kg of zinc and \(2\) kg of copper.

The maximum daily supply of zinc is \(160\) kg and the maximum daily supply of copper is \(120\) kg. Let \(x\) be the number of units of Pennies produced each day and \(y\) the number of units of Doorknobs produced each day. What is the maximum value of \(x+y?\)

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