A particular salad contains 4 units of vitamin A, 5 units of vitamin B-complex and 2 mg of fat per serving. A nutritious soup contains 6 units of vitamin A, 2 units of vitamin B-complex, and 3 mg of fat per serving. If a lunch consisting of these two foods is to have at least 10 units of vitamin A and at least 10 units of vitamin B-complex, how many servings of each should be used in order to minimize the total milligrams of fat?
X = # serving of salads
Y = # of serving of soup
F = # mg of fat
x y constraints
A 4 6 >=10
B 5 2 >=10
F 2 3
4x+6y >= 10
5 x + 2y >= 10
P = 2x +3y