1. Consider the production function Q = (0.5K1/3 + 0.5L1/3)3 . Suppose the firms want to minimize the cost of producing 8 units of output. It pays a wage rate W of $40 and capital cost R of $10. How many units of labor and capital should the firm use?

Dahlia enterprises needs someone to supply it with 127,000 cartons of machine screws per year to support its manufacturing needs over the next five years, and you’ve decided to bid on the contract. it will cost you $940,000 to install the equipment necessary to start production; you’ll depreciate this cost straight-line to zero over the project’s life. you estimate that in five years, this equipment can be salvaged for $77,000. your fixed production costs will be $332,000 per year, and your variable production costs should be $11.00 per carton. you also need an initial investment in net working capital of $82,000. if your tax rate is 30 percent and your required return is 11 percent on your investment, what bid price should you submit? (do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))

Six years ago, an 80-kw diesel electric set cost $160,000. the cost index for this class of equipment six years ago was 187 and is now 194. the cost-capacity factor is 0.6. the plant engineering staff is considering a 120-kw unit of the same general design to power a small isolated plant. assume we want to add a precompressor, which (when isolated and estimated separately) currently costs $13291. determine the total cost of the 120-kw unit. (hint: skip $ and comma symbols)

At the beginning of 2014, winston corporation issued 10% bonds with a face value of $2,000,000. these bonds mature in five years, and interest is paid semiannually on june 30 and december 31. the bonds were sold for $1,852,800 to yield 12%. winston uses a calendar-year reporting period. using the effective-interest method of amortization, what amount of interest expense should be reported for 2014? (round your answer to the nearest dollar.)