Peter builds electrical cables of high quality using two types of metallic alloys, A and B. Alloy A contains 80% of copper and 20% of aluminum. Alloy b contains 68% of copper and 32% of aluminum. The alloy A market price is 80 Euros per ton, and the alloy B market price is 60 Euros per ton. 

Which are the quantities of alloys A and B, respectively that Peter has to use to produce a ton of cable that contains at least 20% of aluminum and whose production cost is the cheapest possible?

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