You have been asked by the president of your company to evaluate the proposed acquisition of a new special-purpose truck. The company already spent $15,000 (i. e., sunk cost) in last year to improve the production line site. The truck's basic price is $90,000, and it will cost another $10,000 to modify it for special use by your firm. Use of the truck will require an increase in net operating working capital (spare parts of inventory) of $25,000. The truck falls into the MACRS 3 year class, and it will be sold after three years for $20,000 (salvage value). The truck will increase the sale by $200,000, and the cost of all expenses will be 40% of sales. The firm's marginal tax rate is 40 percent. What is the operating cash flow in Year 1

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.