Sometimes an economy cannot grow because of external factors, such as

(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.

Benton company (bc), a calendar year entity, has one owner, who is in the 37% federal income tax bracket (any net capital gains or dividends would be taxed at a 20% rate). bc's gross income is $395,000, and its ordinary trade or business deductions are $245,000. ignore the standard deduction (or itemized deductions) and the deduction for qualified business income. if required, round computations to the nearest dollar. a. bc is operated as a proprietorship, and the owner withdraws $100,000 for personal use. bc's taxable income for the current year is $ , and the tax liability associated with the income from the sole proprietorship is $ . b. bc is operated as a c corporation, pays out $100,000 as salary, and pays no dividends to its shareholder. bc's taxable income for the current year is $ , and bc's tax liability is $ . the shareholder's tax liability is $ . c. bc is operated as a c corporation and pays out no salary or dividends to its shareholder. bc's taxable income for the current year is $ , and bc's tax liability is $ . d. bc is operated as a c corporation, pays out $100,000 as salary, and pays out the remainder of its earnings as dividends. bc's taxable income for the current year is $ , and bc's tax liability is $ .

Companies in the u. s. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. in 2011 hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. the following data show the number of cars in service (1000s) and the annual revenue ($ millions) for six smaller car rental companies (auto rental news website, august 7, 2012). excel file: data14-09.xls if required, enter negative values as negative numbers. a. select a scatter diagram with the number of cars in service as the independent variable. b. what does the scatter diagram developed in part (a) indicate about the relationship between the two variables? c. use the least squares method to develop the estimated regression equation (to 3 decimals). ŷ = + x d. for every additional car placed in service, estimate how much annual revenue will change. by $ e. fox rent a car has 11,000 cars in service. use the estimated regression equation developed in part (c) to predict annual revenue for fox rent a car. round your answer to nearest whole value. $ million hide feedback partially correct