Giselle wants to buy a condo that has a purchase price of $163,000. giselle earns $2,986 a month and wants to spend no more than 25% of her income on her mortgage payment. she has saved up $33,000 for a down payment. giselle is considering the following loan option: 20% down, 30 year at a fixed rate of 6.25%. what modification can be made to this loan to make it a viable option, given giselle’s situation?

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.