n 2017, HD had reported a deferred tax asset of $90 million with no valuation allowance. At December 31, 2018, the account balances of HD Services showed a deferred tax asset of $120 million before assessing the need for a valuation allowance and income taxes payable of $80 million. HD determined that it was more likely than not that 30% of the deferred tax asset ultimately would not be realized. HD made no estimated tax payments during 2018. What amount should HD report as income tax expense in its 2018 income statement

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.