Suppose that real gdp per capita of the united states is $32,000 and its growth rate is 2% per year and that real gdp per capita of china is $4,000, and its annual growth rate is 7%. according to the rule of 70, how large will china's real gdp per capita be in 20 years?

Last year ann arbor corp had $155,000 of assets, $305,000 of sales, $20,000 of net income, and a debt-to-total-assets ratio of 37.5%. the new cfo believes a new computer program will enable it to reduce costs and thus raise net income to $33,000. assets, sales, and the debt ratio would not be affected. by how much would the cost reduction improve the roe? a. 11.51%b. 12.11%c. 12.75%d. 13.42%e. 14.09%

Caleb construction (cc) incurs supervisor salaries expense in the construction of homes. if cc manufactures 100 homes in a year, fixed supervisor salaries will be $400,000. with the current construction supervisors, cc's productive capacity is 150 homes in a year. however, if cc is contracts to build more than 150 homes per year, it will need to hire additional supervisors, which are hired as full-time rather than temporary employees. cc's productive capacity would then become 200 homes per year, and salaries expense would increase to $470,000. how would cc’s salaries expense be properly classified? fixed variable mixed stepped curvilinear

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.