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.

Value economics capital scarcity opportunity cost wealth labor trade-offs standard of living good a. condition of not having enough resources to produce all the things people want b. alternative choices made by consumers in the marketplace c. sum of those economic products that are tangible, scarce, useful, and transferable d. tools, equipment, machinery, and factories used in the production of goods and services e. tangible item that is economically useful or that satisfies an economic want f. quality of life based on the ownership of the necessities and luxuries that make life easier g. people with all their efforts, abilities, and skills h. cost of the next-best alternative use of money, time, or resources when one choice is made rather than another i. study of how people try to satisfy their needs through the careful use of scarce resources j. worth that can be expressed in dollars and cents