A​ firm's marginal product of labor is 4 and its marginal product of capital is 5. If the firm adds one unit of labor but does not want its output quantity to​ change, the firm should A. add 1.25 units of capital. B. use 1.25 fewer units of capital. C. use 0.8 fewer units of capital. D. use 5 fewer units of capital.

Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). however, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). what is the future value of a 13-year annuity of $2,800 per period where payments come at the beginning of each period? the interest rate is 9 percent. use appendix c for an approximate answer, but calculate your final answer using the formula and financial calculator methods. to find the future value of an annuity due when using the appendix tables, add 1 to n and subtract 1 from the tabular value. for example, to find the future value of a $100 payment at the beginning of each period for five periods at 10 percent, go to appendix c for n = 6 and i = 10 percent. look up the value of 7.716 and subtract 1 from it for an answer of 6.716 or $671.60 ($100 × 6.716)

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?

After testing its water, a city water department issues a report to the related citizens, noting what chemicals have been identified, their doses, and the estimated risks of exposure at these levels. this report represents a type of