Omnidata uses the annualized income method to determine its quarterly federal income tax payments. it had $100,000, $50,000, and $90,000 of taxable income for the first, second, and third quarters, respectively ($240,000 in total through the first three quarters). what is omnidata's annual estimated taxable income for purposes of calculating the third quarter estimated payment?

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.