A food company wants to produce brownies, bread and martabak dough to sell to other companies. The 3 main ingredients in each product are flour, eggs, and water. If the company only has 63 Kg of flour, 71 eggs and 46 liters of water and other supporting materials are abundantly available. To make brownies, you need 3 kg of flour, 4 eggs and 6 liters of water. To make bread dough, you need 7 kg of flour, 4 eggs and 3 liters of water. Meanwhile, the martabak dough requires 6 kg of flour, 9 kg of eggs and 12 liters of water. The profit on the sale of one batch of brownies, bread and martabak is $91, $100, $108, respectively. If the company wants to maximize profit, what amount of each dough is needed along with the profit earned? 

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