JavaScript functions to disperse ingredients based on Protein, Carbs and Fat

Given a base of: NF grams of Fat NP grams of Protein NC grams of Carbs And a meal that consists of IngredientA 3% Fat 6% Protein 3% Carbs 50g minimum serving IngredientB Ingredient B1 10% Fat 3% Protein 2% Carbs 1g minimum serving Ingredient B2 2% Fat 10% Protein 0% Carbs 120g minimum serving IngredientC 6% Fat 2% Protein 3% Carbs 5g minimum serving Have a function that returns the best combination of ingredients A, B and C, in grams, getting to the closest combination of NP, NC and NF, based on the below requirements: - The ingredient list is not limited to 3, it could be 5, 10, 15 ingredients. - Ingredients like IngredientB are made up of two ingredients, which need to be incremented at the correct ratio. If you incrememnt B2 by 1g, you need to increment B1 by 0.008g. - The minimum required serving for each Ingredient must meet the 'minimum serving' requirement, i.e. you need to have at least 50g of Ingredient A - The ingredients must be incrememnted by at least 1 gram. - The ingredients should be increased roughly related to each other (i.e. the result SHOULDN'T be 90% of a single ingredient) - NF, NP and NC aren't at fixed ratio, i.e you could have 10NF 10NP 40NC or 5NF 100NP 22NC. Technically: - ES6 is welcomed - This will be run in node, so as modular as possible - if not modules then just split up into functions i can run unit tests on.