Pierre Corporation has a precredit U. S. tax of $315,000 on $1,560,000 of taxable income in the current year. Pierre has $312,000 of foreign source taxable income characterized as foreign branch income and $156,000 of foreign source taxable income characterized as passive category income. Pierre paid $63,000 of foreign income taxes on the foreign branch income and $27,000 of foreign income taxes on the passive category income. What amount of foreign tax credit (FTC) can Pierre use on its current U. S. tax return and what is the amount of the carryforward, if any

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.