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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.)

Kcompany estimates that overhead costs for the next year will be $4,900,000 for indirect labor and $1,000,000 for factory utilities. the company uses direct labor hours as its overhead allocation base. if 100,000 direct labor hours are planned for this next year, what is the company's plantwide overhead rate?

Suppose that a candy maker owns a building and is renting part of the building's space to a doctor. further suppose that because the candy maker is the owner, he has the right to make noise during the day while he makes candy. while the doctor cannot insist on a quiet environment, the doctor could move to a quieter building. however, rent in the next best building is $350/month more than rent in the noisy building. the candy maker can adopt a new technology that eliminates the noise for $275/month. given this situation, can the doctor find a private solution with the candy maker that will make both better off?