Stigler diet
The Stigler diet is an
The nutrient RDAs required to be met in Stigler's experiment were
While the name "Stigler Diet" was applied after the experiment by outsiders, according to Stigler, "No one recommends these diets for anyone, let alone everyone." The Stigler diet has been much ridiculed for its lack of variety and palatability; however, his methodology has received praise and is considered to be some of the earliest work in linear programming.
Linear programming problem
The Stigler diet question is a
Food | Annual Quantities | Annual Cost |
---|---|---|
Wheat Flour | 370 lb (170 kg) | $13.33 |
Evaporated Milk | 57 cans | $3.84 |
Cabbage | 111 lb (50 kg) | $4.11 |
Spinach | 23 lb (10 kg) | $1.85 |
Dried Navy Beans | 285 lb (129 kg) | $16.80 |
Total Annual Cost | $39.93 |
The 9 nutrients that Stigler's diet took into consideration and their respective recommended daily amounts were:
Nutrient | Daily Recommended Intake |
---|---|
Calories | 3,000 Calories |
Protein | 70 grams |
Calcium | .8 grams |
Iron | 12 milligrams |
Vitamin A | 5,000 IU |
Thiamine (Vitamin B1) | 1.8 milligrams |
Riboflavin (Vitamin B2) | 2.7 milligrams |
Niacin | 18 milligrams |
Ascorbic Acid (Vitamin C) | 75 milligrams |
Seven years after Stigler made his initial estimates, the development of George Dantzig's Simplex algorithm made it possible to solve the problem without relying on heuristic methods. The exact value was determined to be $39.69 (using the original 1939 data). Dantzig's algorithm describes a method of traversing the vertices of a polytope of N+1 dimensions in order to find the optimal solution to a specific situation.
In 2014, Google chef Anthony Marco devised a recipe using a similar list of ingredients (with calf liver in place of evaporated milk), called "Foie Linéaire à la Stigler"; one Google employee described it as "delicious".[2]
References
- ^ "CPI Inflation Calculator". data.bls.gov. Retrieved 2016-07-15.
- ^ "Sudoku, Linear Optimization, and the Ten Cent Diet", Jon Orwant, 30 September 2014
External links
- The Cost of Subsistence by George Stigler (fulltext)
- "The Diet Problem" by George Dantzig