Microsoft Corporation reported earnings of $7.34 per share in the most recent 12-month period and has just paid annual dividends per share of $2.24. Earnings are expected to grow at 12% a year for three years, during which period the dividend payout ratio is expected to remain unchanged from its current level. After that period, the earnings growth rate is expected to drop to 6% and the payout ratio is expected to increase to 60% of earnings. The firm has a beta of 0.8 currently, and it is expected to have a beta of 0.7 after it increases its payout ratio. If the term structure of riskfree interest rates is flat at 2.6% and the market risk premium is 8%, what should the price per share of Microsoft be

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.