would you please help me solve this problem? Thank you in advance

Snoopy Services wishes to make healthy dog treats for their clients. Each dog treat should contain at least 1.6mg of vitamin E, at least 30 calories and at least 2 grams of protein. The treats are primarily made of two ingredients: peanut butter and sweet potato. Each gram of peanut butter contains 0.1mg of vitamin E, 5 calories, 0.2 grams of protein, and costs 0.006 dollars. Each gram of sweet potato contains 0.4mg of vitamin E, 2 calories, 0.2 grams of protein, and costs 0.004 dollars. Letxdenote the number of grams of peanut butter in the treat. Letydenote the number of grams of sweet potato in the treat. LetCdenote the cost to make the treat. They wish to minimize the cost to make each treat, while still satisfying the given nutritional requirements. ---------------------------------------------- Note each of the corner points. I will give you three of them:(16,0),(0,15)and(8,2). Find an additional corner point. Corner point:( , ). ---------------------------------------------- Finally, determine the minimum cost, and how much peanut butter and sweet potato to use. In order to minimize cost, we should usegrams of peanut butter andgrams of sweet potato. The minimum cost ------- is dollars.