What is the significance of operation research in modern management?​

Catherine de bourgh has one child, anne, who is 18 years old at the end of the year. anne lived at home for seven months during the year before leaving home to attend state university for the rest of the year. during the year, anne earned $6,000 while working part time. catherine provided 80 percent of anne's support and anne provided the rest. which of the following statements regarding whether anne is catherine's qualifying child for the current year is correct? a.anne is a qualifying child of catherine.b.anne is not a qualifying child of catherine because she fails the gross income test.c.anne is not a qualifying child of catherine because she fails the residence test.d.anne is not a qualifying child of catherine because she fails the support test.

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.)

Which of the following is one of the five fundamental questions? which products will be in scarce supply and which in excess supply? who should appoint the head of the central bank? how much should society save? correct what goods and services will be produced?