Doke is manager of an apartment building and notices the parking lot has numerous potholes. Residents are complaining and threatening to not renew their leases. Without contacting Kimba, the owner of the apartment building, Doke calls a paving service, signs a contract, and has them repave at a cost of $50,000. Doke has no authority to make such expensive repairs. When Kimba returns from a vacation and sees the parking lot, she thanks Doke for his initiative and approves of the repairs. This is an example of a/an

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.