A client asks you to create a minimum variance portfolio from two funds, A and B. Fund A has an expected return of 7% and a standard deviation of 13%. Fund B has an expected return of 8% and a standard deviation of 17%. The correlation between the returns of funds A and B is 0.17. What is the percentage of the total portfolio you should recommend to invest in fund A to obtain the minimum variance portfolio

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.