Scientific studies suggest that some animals regulate theirintake of different types of food available in the environment toachieve a balance between the proportion, and ultimately the totalamount, of macronutrients, consumed. Macro-nutrients arecategorized as protein, carbohydrate or fat/lipid. A seminal studyon the macro-nutrient intake of migratory locust nymphs (Locustamigratoria) suggested that the locust nymphs studied sought and atecombinations of food that balanced the intake of protein tocarbohydrate in a ratio of 45:55 [1]. Assume that a locust nymphfinds itself in an environment where only two sources of food areavailable, identified as food X and food Y . Food X is 20% proteinand 80% carbohydrate, whereas food Y is 70% protein and 30%carbohydrate. Assuming that the locust eats exactly 100 mg of foodper day, determine how many milligrams of food X and food Y thelocust needs to eat per day to reach the desired intake balancebetween protein and carbohydrate.
