Crystal believes that outsourcing the bookkeeping needs of her firm would save money. She researches various companies and runs the numbers for various scenarios to gather evidence of the potential savings that would result from using outside bookkeepers. Which of the following best defines Crystal's message structure? Multiple choice question. Crystal is using analogies. Crystal is slanting the facts. Crystal is using generalizations. Crystal is identifying causes and effects.

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.