Consider the nutrition problem of Example 1. Suppose that the only food available was rice. How many cups of rice would be required to meet the nutritional requirements?
Suppose that a person decides to make rice and soybeans part of their staple diet. The object is to design a lowest-cost diet that provides certain minimum levels of protein, calories, and vitamin B2 (riboflavin). Suppose that one cup of uncooked rice costs 21 cents and contains 15 grams of protein, 810 calories, and 19 milligram of riboflavin. On the other hand, one cup of uncooked soybeans costs 14 cents and contains 22.5 grams of protein, 270 calories, and 1/3 milligram of riboflavin. Suppose that the minimum daily requirements are 90 grams of protein, 1620 calories, and 1 milligram of riboflavin. Design the lowest-cost diet meeting these specifications.