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On april 1, the cash account balance was $46,220. during april, cash receipts totaled $248,600 and the april 30 balance was $56,770. determine the cash payments made during april.

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.

Heather has been an active participant in a defined benefit plan for 19 years. during her last 6 years of employment, heather earned $42,000, $48,000, $56,000, $80,000, $89,000, and $108,000, respectively (representing her highest-income years). calculate heather’s maximum allowable benefits from her qualified plan (assume that there are fewer than 100 participants). assume that heather’s average compensation for her three highest years is $199,700. calculate her maximum allowable benefits.