Client Story: In order to motivate our sales force to increase sales, we decided to increase our commissions and salaries and increase marketing. At the same time, our supplier increased its prices, and we felt we could pass that cost increase on to our customers in the form of price increase. However, with the additional pressure to make sales, coupled with the increased sales price, we had to loosen credit terms on sales (extend more credit to more customers). We also had to lease a little more distribution space and acquire another truck to handle the volume increase. Our shipping expense relates to gasoline used for deliveries. Luckily, gas prices went down from what we originally expected this year.

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.)