The condensed income statement for the Consumer Products Division of Fargo Industries Inc. is as follows (assuming no service department charges): Sales $82,500,000 Cost of goods sold 53,625,000 Gross profit $ 28,875,000 Administrative expenses 15,675,000 Income from operations $ 13,200,000 The manager of the Consumer Products Division is considering ways to increase the return on investment. Using the DuPont formula for return on investment, determine the profit margin, investment turnover, and return on investment of the Consumer Products Division, assuming that $55,000,000 of assets have been invested in the Consumer Products Division. If required, round the investment turnover to one decimal place.

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.