Project a has cash flows of −$50,000, $49,400, $27,200, and $24,500 for years 0 to 3, respectively. project b has an initial cost of $50,000 and an annual cash inflow of $18,500 for four years. these are mutually exclusive projects. what is the crossover rate?

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

Which of the following is one of the main causes of inflation? a. wages drop so workers have to spend a higher percentage of income on necessities. b. demand drops and forces producers to charge more to meet their costs. c. rising unemployment cuts into national income. d. consumers demand goods faster than they can be supplied.

Which of the following is not one of the four principles of bottleneck management? a. increasing capacity at non-bottleneck stations is a mirageb. lost time at the bottleneck is lost system capacity.c. release work orders to the system at the bottleneck's capacity pace.d. increased bottleneck capacity is increased system capacity.e. bottlenecks should be moved to the end of the system process.