Roger owns a small health store that sells vitamins in a perfectly competitive market. if vitamins sell for $12 per bottle and the average total cost per bottle is $11.50 at the profit-maximizing output level, then in the long

Harry is 25 years old with a 1.55 rating factor for his auto insurance. if his annual base premium is $1,012, what is his total premium? $1,568.60 $2,530 $1,582.55 $1,842.25

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.)

With only a part-time job and the need for a professional wardrobe, rachel quickly maxed out her credit card the summer after graduation. with her first full-time paycheck in august, she vowed to pay $270 each month toward paying down her $8 comma 368 outstanding balance and not to use the card. the card has an annual interest rate of 18 percent. how long will it take rachel to pay for her wardrobe? should she shop for a new card? why or why not?