ou are given the following information about the activity in an investment account for calendar years 2010 and 2011: Account for 2010 Date Fund value before activity Deposit Withdrawal January 1, 2010 100.00 June 1, 2010 125.00 20 November 1, 2010 110.00 10 December 31, 2010 X Account for 2011 Date Fund value before activity Deposit Withdrawal January 1, 2011 X August 1, 2011 125.00 10 December 31, 2011 Y During 2010, the dollar-weighted return equals 10%. During 2011, the time-weighted return also equals 10%. Determine Y to the nearest dollar.

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.