A family member of a HighGene Pharmaceuticals executive strangely sells all of her shares at the market price in day 1. Without the existence of any news (including the sale) that can affect the stock price in between, the stock trades at a similar price until day 10 when the news arrives that the company’s only product was not approved by the FDA. The stock price drops to as the information is revealed to investors.

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.