When Ramona, the keynote speaker at a major business leaders' conference, arrived in the middle of the night at the Ritz-Carlton, she was exhausted and her suit was wrinkled from her ten-hour plane trip. The night clerk found someone to dry clean Ramona's suit and have it ready for her morning presentation. She has been a loyal Ritz-Carlton customer ever since. In this example, Ritz-Carlton demonstrated the macro strategy of

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.