At a price of $8 per unit, Gadgets Inc. is willing to supply 19,000 gadgets, while United Gadgets is willing to supply 16,000 gadgets. If the price were to rise to $10 per unit, their respective quantities supplied would rise to 28,000 and 22,000. If these are the only two firms supplying gadgets, what is the elasticity of supply in the market for gadgets?

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.)