The following data has been collected about Keller Company's stockholders' equity accounts: Common stock $10 par value 10,000 shares authorized and
5,000 shares issued, 3,000 shares outstanding $50,000
Paid-in-capital in excess of par value, common stock 40,000
Retained earnings 15,000
Treasury stock 31,200

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.