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 L=cHC-80.2. a. Beginning with a health input of $400 per year (H = 4) and a nutrition input of $4900 per year (N= 49), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing