Basic Motor Corporation uses target costing. Assume that Basic marketing personnel estimate that the competitive selling price for the QuikCar in the upcoming model year will need to be $24,300. Assume further that the QuikCar's total unit cost for the upcoming model year is estimated to be $19,000 and that Basic requires a 20% profit margin on selling price (which is equivalent to a 25% markup on total cost). Required:
What price will Basic establish for the QuikCar for the upcoming model year?

Afactory owner wants his workers to produce as many widgets as they can so he pays his workers based on how many widgets they produce. however, in order to make sure that the workers do not rush and produce a large number of poorly made widgets, he checks the widgets at random at various stages of their manufacture. if a defect is found in a widget, the pay of the entire section of the factory responsible for that defect is docked. how is this factory owner seeking to solve the agency conflict problem in this case?

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.

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.