Afirm just made a $1,000,000.00 sale to a retail chain. the firm will be 50.00% in cash today, and then pay the remainder in 30 days (a receivable for the firm). the firm fills the sale with $400,000.00 in inventory. consider how an accountant will handle this transaction.

The management of a private investment club has a fund of $250,000 earmarked for investment in stocks. to arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high risk (x), medium risk (y), and low risk (z). management estimates that high risk stocks will have a rate of return of 15%/year; medium risk stocks, 10%/year; and low risk stocks, 6%/year. the amount of money invested in low risk stocks is to be twice the sum of the amount invested in stocks of the other two categories. if the investment goal is to have a rate of return of 9% on the total investment, determine how much the club should invest in each type of stock. (assume that all the money available for investment is invested.)

Precision dyes is analyzing two machines to determine which one it should purchase. the company requires a rate of return of 15 percent and uses straight-line depreciation to a zero book value over the life of its equipment. ignore bonus depreciation. machine a has a cost of $462,000, annual aftertax cash outflows of $46,200, and a four-year life. machine b costs $898,000, has annual aftertax cash outflows of $16,500, and has a seven-year life. whichever machine is purchased will be replaced at the end of its useful life. which machine should the company purchase and how much less is that machine's eac as compared to the other machine's

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.