Suppose a firm with a production function Q = KL (where MPL = K and MPK = L) is producing 125 units of output by using 5 workers and 25 units of capital. The wage rate (W) per worker is $10 and the rental per unit of capital (R) is $2. What is the firm’s long-run average total cost, and what will it be if output falls to 45 units?

The common stock of ncp paid $1.35 in dividends last year. dividends are expected to grow at an annual rate of 5.30 percent for an indefinite number of years. a. if ncp's current market price is $22.57 per share, what is the stock's expected rate of return? b. if your required rate of return is 7.3 percent, what is the value of the stock for you? c. should you make the investment? a. if ncp's current market price is $22.57 per share, the stock's expected rate of return is

Rate of return douglas keel, a financial analyst for orange industries, wishes to estimate the rate of return for two similar-risk investments, x and y. douglas's research indicates that the immediate past returns will serve as reasonable estimates of future returns. a year earlier, investment x had a market value of $27 comma 000; and investment y had a market value of $46 comma 000. during the year, investment x generated cash flow of $2 comma 025 and investment y generated cash flow of $ 6 comma 770. the current market values of investments x and y are $28 comma 582 and $46 comma 000, respectively. a. calculate the expected rate of return on investments x and y using the most recent year's data. b. assuming that the two investments are equally risky, which one should douglas recommend? why?

1. alwaysrain irrigation, inc. would like to determine capacity requirements for the next four years. currently, two production lines are in place for making bronze and plastic sprinklers. three types of sprinklers are available in both bronze and plastic: 90-degree nozzle sprinklers, 180-degree nozzle sprinklers, and 360-degree nozzle sprinklers. management has forecast demand for the next four years as follows: both production lines can produce all the different types of nozzles. the bronze machines needed for the bronze sprinklers require two operators and can produce up to 12,000 sprinklers. the plastic injection molding machine needed for the plastic sprinklers requires four operators and can produce up to 200,000 sprinklers. three bronze machines and only one injection molding machine are available. what are the capacity requirements for the next four years? (assume that there is no learning.)