Suppose you use Solver to find the optimal solution to a maximization model. Then you remember that you omitted an important constraint. After adding the constraint and running Solver again:

a. The optimal value will always remain the same
b. The optimal value can never increase
c. The optimal value can never decrease

Josie just bought her first fish tank a 36 -gallon glass aquarium, which she’s been saving up for almost a year to buy. for josie, the fish tank is most likely what type of purchase

After the 2008 recession, the amount of reserves in the us banking system increased. because of federal reserve actions, required reserves increased from $44 billion to $60 billion. however, banks started holding more reserves than required. by january 2009, banks were holding $900 billion in excess reserves. the federal reserve started paying interest on the excess reserves that the banks held. what possible impact will these unused reserves have on the economy?

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.