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?

Prairie, inc. produces one single product. it has an annual capacity of 10,000 units, but currently uses only 80% of it. each unit is sold for $50 and requires direct material worth $30 and direct labor worth $5. manufacturing overhead cost is $10 per unit of which 70% is variable. should a special order to sell 1,000 units at $44 be accepted? yes no

cranium, inc., purchases term papers from an overseas supplier under a continuous review system. the average demand for a popular mode is 300 units a day with a standard deviation of 30 units a day. it costs $60 to process each order and there is a five−day lead−time. the holding cost for a paper is $0.25 per year and the company policy is to maintain a 98% service level. cranium operates 200 days per year. what is the reorder point r to satisfy a 98% cycleminus−service level? a. greater than 1,700 unitsb. greater than 1,600 units but less than or equal to 1,700 unitsc. greater than 1,500 units but less than or equal to 1,600 unitsd. less than or equal to 1,500 units

As a project manager for a large construction company, shaun decided to make the performance appraisal process as painless as possible for his crew. he spent a considerable amount of time creating performance standards he felt were reasonable, and after six months' time, he scheduled individual appointments with each worker to discuss strengths and weaknesses and areas that needed improvement according to the standards he privately set. some employees were sent to vestibule training, and one even got a promotion with additional compensation. what did he fail to do correctly