Rachel is the sole member of an llc, and jordan is the sole shareholder of a c corporation. both businesses were started in the current year, and each business has a long-term capital gain of $10,000 for the year. neither business made any distributions during the year. with respect to this information, which of the following statements is correct?
a. the c corporation receives a preferential tax rate on the ltcg of $10,000.
b. rachel must report $10,000 of ltcg on her tax return.
c. the llc must pay corporate tax on taxable income of $10,000.
d. jordan must report $10,000 of ltcg on his tax return.
e. none of these choices are correct.

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.