The manager of a computer help center needs to determine a shift schedule for his sta . The center is open from 8am until midnight (12am), and is divided into four shifts. The number of employees needed on each shift is as follows: 4 on the rst shift (8am-12pm), 10 on the second shift (12pm-4pm), 8 on the third shift (4pm-8pm), and 6 on the last shift (8pm-12am). Two types of employees can be hired to sta the computer center: full-time employees and part-time employees. Full-time employees must be hired for two consecutive shifts, and can be hired to start in the rst, second or third shift. Part-time employees are hired for a single shift. Full-time employees are paid $14 an hour, while part-time employees are paid $12 an hour. Lastly, during each of the shifts, there must be at least two full-time employees sta ed for every part-time employee.
Formulate a linear programming model to satisfy the stang requirements at minimum cost.

Consider the following scenarios. use what you have learned to decide if the goods and services being provided are individual, public, or merit goods. for each case, state what kind of good has been described and explain your answer using the definitions of individual, public, and merit goods. (6 points each) 1. from your window, you can see a city block that's on fire. you watch city firefighters rescue people and battle the flames to save the buildings. 2. while visiting relatives, you learn that your cousins attend a nearby elementary school that is supported financially by local property tax revenue. 3. you see a squadron of military jets flying overhead. 4. you find out that your aunt works for a defense manufacturing company that has several defense contracts with the government. she tells you that she works for a team that is producing a communications satellite. 5. your class visits a local jail run by a private, profit-making company that detains county criminals and is paid with tax revenue.

What is the second step in communication planning? determine the purpose of the message outline the communication for delivery determine the best channel of communication clarify objectives identify the audience

An investment offers a total return of 18 percent over the coming year. janice yellen thinks the total real return on this investment will be only 14 percent. what does janice believe the inflation rate will be over the next year?