In spending all his income on beer and pizza, fred finds that the marginal utility of the last pizza he consumed is 8, and the marginal utility of the last bottle of beer is 4. the price of a bottle of beer is $1.50. if fred has maximized his utility, the price of pizza must be

Schonhardt corporation's relevant range of activity is 2,500 units to 5,500 units. when it produces and sells 4,000 units, its average costs per unit are as follows: averagecost per unitdirect materials $ 7.60direct labor $ 2.90variable manufacturing overhead $ 1.65fixed manufacturing overhead $ 2.90fixed selling expense $ 0.95fixed administrative expense $ 0.65sales commissions $ 0.75variable administrative expense $ 0.65if 4,500 units are produced, the total amount of fixed manufacturing cost incurred is closest to: multiple choicea $16,800b $11,400c $11,600d $15,400

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

The farmer's market just paid an annual dividend of $5 on its stock. the growth rate in dividends is expected to be a constant 5 percent per year indefinitely. investors require a 13 percent return on the stock for the first 3 years, a 9 percent return for the next 3 years, a 7 percent return thereafter. what is the current price per share? select one: a. $212.40 b. $220.54 c. $223.09 d. $226.84 e. $227.50 previous pagenext page