Dr. DeVleming has decided to feed her dogs a raw-food diet, consisting of raw chicken C, butternut squash S, potatoes P, and eggs E. She knows the macronutrient ratio (grams per serving) of each ingredient: (macronutrient ratios written as ingredient [grams carbohydrates
grams protein
grams fat])
C = [2 18 2] S = [18 4 1] P= [24 3 0] E = [6 5]
A) Given the different exercise and health needs of her dogs, can she achieve any desired macronutrient ratio of carbs : protein : fat with some combination of these ingredients?
B) What does you answer to (a) say about the span of the given vectors?
C) Oh no! She has run out of butternut squash. Can she still achieve any desired macronutrient ratio? What if she runs out of any other ingredient?