F. W. Taylor believed that the traditional shop foreman, by himself, was unable to properly monitor workers under conditions of increased productivity. Instead, Taylor established a cluster of eight supervisors with specific functions. Under this system the individual machinist had an inspector, a gang boss, speed boss, and repair boss to report to in the production side of the business. On the planning side of the business, each employee reported to an instruction card clerk, time and cost clerk, order routing clerk, and a disciplinarian. Which of Henri Fayol's 14 principles of management does this approach contradict

Suppose life expectancy in years (l) is a function of two inputs, health expenditures (h) and nutrition expenditures (n) in hundreds of dollars per year. the production function is upper l equals ch superscript 0.40 baseline upper n superscript 0.60l=ch0.40n0.60. beginning with c = 1, a health input of $400400 per year (hequals=44) and a nutrition input of $400400 per year (nequals=44), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing. the marginal product of health expenditures when h goes from 44 to 55 is nothing, and the marginal product of health when h goes from 66 to 77 is nothing. (round your answers to three decimal places.)