The management of wyoming corporation is considering the purchase of a new machine costing $375,000. the company's desired rate of return is 6%. the present value factor for an annuity of $1 at interest of 6% for 5 years is 4.212. in addition to the foregoing information, use the following data in determining the acceptability in this situation: year income from operations net cash flow 1 $18,750 $93,750 2 18,750 93,750 3 18,750 93,750 4 18,750 93,750 5 18,750 93,750 the net present value for this investment is:

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.