Quality control measures: number of defects 201 179 140 98 number of warranty claims 62 55 46 43 number of customer complaints 118 112 95 74 material control measures: purchase order lead time 10 days 9 days 7 days 5 days scrap as a percent of total cost 1 % 1 % 2 % 3 % machine performance measures: machine downtime as a percentage of availability 5 % 6 % 6 % 10 % use as a percentage of availability 94 % 91 % 88 % 84 % setup time (hours) 10 12 13 14 delivery performance measures: throughput time ? ? ? ? manufacturing cycle efficiency (mce) ? ? ? ? delivery cycle time ? ? ? ? percentage of on-time deliveries 95 % 94 % 91 % 88 %

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.)