HELP PLEASE ANSWER 1,4, and 10

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.

Identify whether the statements are true or false by dragging and dropping the appropriate term into the bin provided. long-run economic growth is unlikely to be sustainable because of finite natural resources. in the modern economy, countries that possess few domestic natural resources essentially have no chance to develop economically. finding alternatives to natural resources will be very important to long-term economic growth. in the modern economy, human and physical capital are generally less important in productivity than natural resources. in the 19th century, countries with the highest per capita gdp were nearly always abundant in minerals and productive farming land.

What resourse is both renewable and inexpensive? gold coal lumber mineral