winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 19 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 8% over 19 years. this week the lottery is worth $3 million to a single winner. what would the cash option payout be?

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.)