The insured’s house is located one mile from the county’s new landfill and across the road from the entrance of a rock quarry. It would cost $150,000 to rebuild the house if something happened to it, but when the insured tried to sell it, the best offer he received was $80,000. The insurance company will insure the house for only $80,000. What method of valuation is used to insure this property?

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.