Joe, Jeff and Jerry Frank own Frank Brothers Farm, a seed company specializing in seed corn. At their weekly meeting they tried to calculate the portion of the farm's overhead expenses that is fixed and the portion that is variable. Over the past twelve months, the number of bushels of seed corn that has been sold reached its peak in May, when the total monthly overhead costs totaled $290,000 for 90,000 bushels of seed corn sold. The lowest number of bushels sold in the last twelve months occurred in December, when total overhead costs were $70,000 for 10,000 bushels sold. What is the fixed portion of the monthly overhead expenses?

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