Assume that your father is now 50 years old, plan to retired in 10 years, and expects to live for 25 years after he retires that is, until age 85. he wants his first retirement payment to have the same purchasing power at the time he retires as $40,000 has today. he wants all his consequent retirement payment to be equal to his first retirement payment. (do not let the retirement payments grow with inflation: your father realizes if inflation occurs the real value of his retirement income will decline year by year after he retires)his retirement income will begin the day he retires, 10 years from today, and he will then receive 24 additional annual payments. inflation is expected to be 5% per year from today forward. he currently has $100,000 saved and expects to earn a return on his savings of 8% per year with annual compounding. to the nearest dollar, how much must he save during each of the next 10 years to meet his retirement goal?

(4 points) suppose the production function in the solow model is given by yt = ak¯ 3/4 t l 1/4 t . (a) what are the five equations and five unknowns that summarize the solow model? (b) show the transition dynamics in the solow model if ¯sy0 < ¯dk0. make sure you label the axes, curves, initial level of capital and steady-state level of capital. (c) solve for capital, output, capital per person, and output per person in the steady state. (d) if a¯ = 2, l¯ = 4, ¯s = 0.2, and ¯d = 0.05, calculate the steady-state level of capital and output per person.

Big trail running company has started to produce running apparel in addition to the trail running shoes that they have manufactured for years. they feel that a departmental overhead rate would best reflect their overall manufacturing overhead usage. based on research the following information was gathered for the upcoming year: machining department finishing department estimated manufacturing overhead by department $ 600 comma 000 $ 400 comma 000 trail running shoes 440 comma 000 machine hours 11 comma 000 direct labor hours running apparel 60 comma 000 machine hours 39 comma 000 direct labor hours manufacturing overhead is driven by machine hours for the machining department and direct labor hours for the finishing department. at the end of the year, the following information was gathered related to the production of the trail running shoes and running apparel: machining department finishing department trail running shoes 442 comma 000 hours 10 comma 500 hours running apparel 57 comma 000 hours 40 comma 000 hours how much manufacturing overhead will be allocated to the trail running shoes

Arnold rossiter is a 40-year-old employee of the barrington company who will retire at age 60 and expects to live to age 75. the firm has promised a retirement income of $20,000 at the end of each year following retirement until death. the firm's pension fund is expected to earn 7 percent annually on its assets and the firm uses 7% to discount pension benefits. what is barrington's annual pension contribution to the nearest dollar for mr. rossiter? (assume certainty and end-of-year cash flows.)