1 The cost varies depending on the current price of oil. 2  At Aestone.com, standard mixes of hot mix asphalt cost $52 – $60 per ton. 3  Specialty mixes can cost upwards of $75.4  According to Gracepacificcorp.com, asphalt concrete can cost more or less $110. At Aestone.com, standard mixes of hot mix asphalt cost $52 – $60 per ton. 2  Specialty mixes can cost upwards of $75. 3  According to Gracepacificcorp.com, asphalt concrete can cost more or less $110. 4  Depending on the quality that you want, it is best to budget anywhere from $50 to $150 per ton.