A company's postretirement health care benefit plan had an APBO of $225,000 on January 1, 2021. During 2021, retiree benefits paid were $36,000. The discount rate for the plan for this year was 10%. Service cost for 2021 was $76,000. Plan assets (fair value) increased during the year by $38,600. The amount of the APBO at December 31, 2021, was:

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.