We assume that the representative consumer's preferences exhibit the properties that
a. each consumer has one strictly preferred good and that consumption and leisure are both normal goods.
b. more is always preferred to less and that each consumer has one strictly favored good.
c. consumption and leisure are both normal goods and that the consumer likes diversity in his or her consumption bundles.
d. they are convex and that more is not necessarily preferred to less.

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.)