An entity incurs the following costs in connection with the purchase of a trademark: purchase price of the trademark $ 80,000 nonrefundable value added tax paid on the purchase of the trademark 4,000 training sales department staff on the use of the trademark 2,000 research expenditures incurred prior to the purchase of the trademark 15,000 legal fees to register the trademark 8,000 salaries of personnel who negotiated the purchase of the trademark 10,000 during the period of negotiation assuming that the trademark meets the criteria for recognition as an intangible asset, at what amount should the trademark be initially measured?

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.