Liz and Jeff live in California, a state that recognizes community property. Jeff is a machinist who makes $30,000 a year. Liz is the owner of a franchise where her take-home profit is approximately $75,000 a year. Jeff and Liz purchased a house during their marriage wherein Liz paid three-fourths of the purchase price and Jeff paid one-fourth. Which of the following statements is correct with regard to Jeff and Liz? Each owns one-half of the real property and other assets they acquire during the marriage. The community property rules do not allow Jeff and Liz to maintain separate ownership of assets they each bring to the marriage or inherit. Jeff owns one-fourth of the property and Liz owns three-fourths. Community property can be sold by Jeff or Liz without consent by the other.

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.