Super Shop sells cat paw snacks and gold shark snacks in bulk. It plans to sell them into two snack mix products. The first mix contains 20% cat paw snacks and 80% gold shark snacks. The second mix contains 35% cat paw snacks and 65% gold shark snacks. The store has on hand 20 kg of cat paw snacks and 50 kg of gold shark snacks. If the profit per kg of the first mix is $12 and the profit per kg of the second mix is $15, how many kg of each should be prepared to maximize profit?