Suppose that the production function faced by a 30-weight ball bearing producer is given by Q=4K0.5L 0.5. Do both labor and capital display diminishing marginal products? Find the marginal rate of technical substitution for this production function. (Hint: MRTS = MPL/MPK.) Does this production function display a diminishing marginal rate of substitution?

On december 31, 2013, coronado company issues 173,000 stock-appreciation rights to its officers entitling them to receive cash for the difference between the market price of its stock and a pre-established price of $10. the fair value of the sars is estimated to be $5 per sar on december 31, 2014; $2 on december 31, 2015; $10 on december 31, 2016; and $8 on december 31, 2017. the service period is 4 years, and the exercise period is 7 years. prepare a schedule that shows the amount of compensation expense allocable to each year affected by the stock-appreciation rights plan.

Consider two similar industries, portal crane manufacturing (pcm) and forklift manufacturing (flm). the pcm industry has exactly three incumbents with annual sales of $800 million, $200 million and $100 million, respectively. the flm industry has also exactly three incumbents, with annual sales of $500 million, $450 million and $400 million, respectively. which industry is more likely to experience a higher level of rivalry?

Ashop owner uses a reorder point approach to restocking a certain raw material. lead time is six days. usage of the material during lead time is normally distributed with a mean of 42 pounds and a standard deviation of four pounds. when should the raw material be reordered if the acceptable risk of a stockout is 3 percent?