From the equation of exchange, M V = P Y , we know that spending growth ( −→ M + → v ) equals inflation π + Real growth. Recall from the chapter that in the long run (1) the inflation rate is found where the AD curve intersects the LRAS curve (reading off the vertical axis) and (2) the expected inflation rate is found where the short-run aggregate supply curve intersects the LRAS curve. With these things in mind, assume that the Solow growth rate is 3%. If spending growth equals 10%, what will π equal in the long run? What will E π equal?

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.)