Simon the pieman bakery is budgeting cash for 2017. the cash balance at december 31, 2016, was $ 14 comma 000. simon the pieman bakery budgets 2017 cash receipts at $ 80 comma 000. estimated cash payments include $ 42 comma 000 for inventory, $ 32 comma 000 for operating expenses, and $ 17 comma 000 to expand the store. simon the pieman bakery needs a minimum cash balance of $ 6 comma 000 at all times. simon the pieman bakery expects to earn net income of $ 75 comma 000 during 2017. what is the final result of the company's cash budget for 2017?

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.