The audubon society at enormous state university (esu) is planning its annual fund-raising "eatathon." the society will charge students $1.10 per serving of pasta. the society estimates that the total cost of producing x servings of pasta at the event will be c(x) = 370 + 0.10x + 0.002x2 dollars. (a) calculate the marginal revenue r'(x) and profit p'(x) functions. hint [see example 2.]

Hours to produce one unit worker hours to produce yarn country a 8 hours country b 4 hours worker hours to produce fabric counrty a 12 hours country b 13 hours additional worker hours to produce fabric instead of yarn country a ? country b? which of the follow is true of the trade relationship between country a and country b? country a has an absolute advantage in producing yarn and fabric country b has an absolute advantage in producing yarn and fabric country b has a comparative advantage to country a in producing fabric country a has a comparative advantage to country b in producing fabric

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76