The CFO has placed a $75,000 limit on the average value of inventory carried in stock. Furthermore, there is a limit on the amount of space available to store inventory of 10,000 ft2. Find the optimal order quantity for each item type so as minimize the total average annual fixed ordering and holding costs subject to the constraints.

As a group is leaving, you ask them if they had a good experience at the restaurant. they mention that they had poor service and their food was cold. a.apologize and ask them to give the restaurant another chance in the future. you tell them that guests usually have a great experience here. b.apologize then ask for the server’s name and immediately notify the manager after they leave. c.apologize for the bad experience and ask them to wait as you call the manager to talk to them. d.apologize for the bad experience and encourage them to complete the customer service survey. this feedback will ensure other guests do not have the same experience.

Throne technical university is looking for three people to work in its plant-biology laboratory. the hiring manager is finding that the most suitable job candidates live in other countries and are not willing to move to the city where the university is located. which situation is the university facing? a. lack of flexible workforce b. surpluses in labor talent c. an appearance of quota systems d. deficits in minimum wage demands

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.