Berta industries stock has a beta of 1.25. the company just paid a dividend of $0.40, and the dividends are expected to grow at 5 percent. the expected return on the market is 12 percent, and treasury bills are yielding 5.8 percent. the most recent stock price for berta is $75. calculate the cost of equity using the dcf method.

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.