Matthew granger is a member of the board of directors at produxicore inc. over a period of one year, matthew failed to attend most of the board meetings, claiming that he was unaware of their occurrence. during the meetings that he did attend, he was not up to date with the company's developments. he did not read the reports he was presented with, and was unfamiliar with the company's financial records. in this scenario, granger breached his duty of care primarily through

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.