Bluefield Corp. has two product lines, A and B. Bluefield has identified the following information about its overhead and potential cost drivers: Total overhead$69,300 Cost drivers Number of labor hours1,900 Number of machine hours45,000 Required: 1. Suppose Bluefield Corp. uses a traditional costing system with number of labor hours as the cost driver. Determine the amount of overhead assigned to each product line if Product A requires 76 percent of the labor hours and Product B requires 24 percent. 2. Suppose Bluefield uses a traditional costing system with machine hours as the cost driver. Determine the amount of overhead assigned to each product line if Product A consumes 17,700 machine hours and Product B consumes 27,300.

Consider the following limit order book for a share of stock. the last trade in the stock occurred at a price of $50. limit buy orders limit sell orders price shares price shares $49.75 500 $49.80 100 49.70 900 49.85 100 49.65 700 49.90 300 49.60 400 49.95 100 48.65 600 a. if a market buy order for 100 shares comes in, at what price will it be filled? (round your answer to 2 decimal places.) b. at what price would the next market buy order be filled? (round your answer to 2 decimal places.) c. if you were a security dealer, would you want to increase or decrease your inventory of this stock? increase decrease

The production manager of rordan corporation has submitted the following quarterly production forecast for the upcoming fiscal year: 1st quarter 2nd quarter 3rd quarter 4th quarter units to be produced 10,800 8,500 7,100 11,200 each unit requires 0.25 direct labor-hours, and direct laborers are paid $20.00 per hour. required: 1. prepare the company’s direct labor budget for the upcoming fiscal year. assume that the direct labor workforce is adjusted each quarter to match the number of hours required to produce the forecasted number of units produced. 2. prepare the company’s direct labor budget for the upcoming fiscal year, assuming that the direct labor workforce is not adjusted each quarter. instead, assume that the company’s direct labor workforce consists of permanent employees who are guaranteed to be paid for at least 2,500 hours of work each quarter. if the number of required direct labor-hours is less than this number, the workers are paid for 2,500 hours anyway. any hours worked in excess of 2,500 hours in a quarter are paid at the rate of 1.5 times the normal hourly rate for direct labor.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.