You roll a die with the sample space S = {1, 2, 3, 4, 5, 6}. You define A as {1, 4, 5}, B as {2, 3, 4, 5, 6}, C as {3, 6}, and D as {2, 3, 5}. Determine which of the following events are exhaustive and/or mutually exclusive A and B
A and C
A and D
B and C

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 0.80 baseline upper n superscript 0.20l=ch0.80n0.20. beginning with c = 1, a health input of $300300 per year (hequals=33) and a nutrition input of $500500 per year (nequals=55), 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 33 to 44 is nothing, and the marginal product of health when h goes from 55 to 66 is nothing. (round your answers to three decimal places.) the marginal product of nutrition expenditures when n goes from 55 to 66 is nothing, and the marginal product of nutrition when n goes from 77 to 88 is nothing. (round your answers to three decimal places.)