Here, the rod has a diameter d of 16 centimeters. The length from point A to point B, LAB, is 2 meters, and the length from point B to point C, LBC, is 1 meters. The load P of 2 kN is applied at point B. The material is a grade of steel with E = 200 GPa and σy = 600 MPa.

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.)