A woman eats cashews and almonds to get her calorie and protein intake. A serving of almonds contains 200 calories and 20 grams of protein. A serving of cashews contains 300 calories and 25 grams of protein. The woman decides to eat at least twice as many servings of almonds as cashews. Furthermore, a serving of almonds contains 15 grams of fat while a serving of cashews contains 12 grams of fat. If the woman needs to consume at least 10000 calories and 800 grams of protein this week, how many servings of each should she eat to minimize her fat intake?