Fran is a CPA who has a small tax practice in addition to working as the controller for a local manufacturing business. Fran runs her tax practice out of a 150-square foot office in her home where she meets clients and works on their tax returns and researches their tax issues. She meets the exclusive use test for this space. The gross income from her tax practice amounts to $7,500 for the year. Business expenses amount to $1,000. Based on square footage, $4,000 of Fran's mortgage interest and real estate taxes are allocable to the home office. The allocable portion of maintenance, utilities, and depreciation is $4,500. Assuming no other expenses related to the business were incurred, what amount of the maintenance, utilities, and depreciation is deductible by Fran

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.