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We are interested in finding out the best combination of foods to eat in order to satisfy a set of nutritional requirements at minimum cost. (This problem is known in the literature as The Diet Problem.) For each food, we are given a cost per serving and how much of each nutrient in question a serving of that food contains. Finally, for each nutrient we are given a minimum required intake amount. Besides one's own personal diet, what other kinds of businesses would benefit from finding an optimal solution to this kind of problem? Here is a concrete example with three nutrients (vitamins A, C, and B1) and four foods. Numbers in the table are per serving of each food. Your nutritionist indicated that you need at least 700 IUs (International Units) of each of the above vitamins per week. Write a linear optimization model to find the least expensive weekly diet that will keep you healthy and solve it in Excel. Would this initial optimal solution please a carb-conscious person? If not, what can you do about it? How many servings of spaghetti should we eat? Answer: How many IUs of vitamin A are we consuming? Answer: What is the total cost of the optimal diet? If we were to limit spaghetti consumption to 6 servings, by how much would the cost of the optimal diet increase