A clothing manufacturer produces clothing in five locations in the United States. In a move to vertical integration, the company is planning a new fabric production plant that will supply fabric to all five clothing plants. The clothing plants have been located on a coordinate system as follows: Location (X, Y) A 7,2 B 4,7 C 5,5 D 6,2 E 8,4 If the amount of fabric shipped to each plant are equal, what is the optimal location for the fabric plant?

You are an employee of an u.s. firm that produces personal computers in thailand and then exports them to the united states and other countries for sale. the personal computers were originally produced in thailand to take advantage of relatively low labor costs and a skilled workforce. other possible locations considered at that time were malaysia and hong kong. the u.s. government decides to impose punitive 100% ad valorem tariffs on imports of computers from thailand to punish the country for administrative trade barriers that restrict u.s. exports to thailand. how do you think your firm should respond? what does this tell you about the use of targeted trade barriers?

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.

Robert just found out that he is going to be unemployed within a month because his factory has invested in a robotic factory line and his skills are no longer needed. this means that robert is . the gdp within country d has begun to decline. as a result of decreased production, thomas lost his job designing cars. this means that thomas is . raquel has just been offered a job, but she has decided not to take it because she feels her skills merit better pay and a better position. this means that raquel is .