On January 1, 2020, Desert Company purchased a patent from Savannah Technologies for $800,000. An independent consultant hired by Desert Company determined that the remaining useful life of the patent at the date of purchase is 10 years. Its unamortized cost on Savannah’s accounting records was $550,000 and the patent had been amortized for 5 years by Savannah. How much should be amortized for the year ended December 31, 2020, by Desert Company?

a. $160,000
b. $110,000
c. $55,000
d. $80,000

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.