Asmine smith owns a condo worth $250,000, a car valued at $15,000, and miscellaneous assets worth $7,500. she owes $190,000 on the condo and $10,000 on the car and has no other debts. her retirement account, in which she is fully vested, contains $28,000 in mutual funds. she was just insured with a $300,000 term life insurance policy. what are her total liabilities?

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.