"it is estimated that the agreement of union contract among population is between 0.4 and 0.6. the sponsors of the union would like to survey union members and get a 95 percent confidence interval for the true proportion of people in favor of the contract. they want to restrict the error level to 3.6 percentage points (3.6%). given the likelihood of the survey being delivered to a qualified union member is 0.8 (incidence rate), and the response rate is 0.8, how many surveys should they send out? "

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.)