The aged but centrally located golf course you manage does not have an in-ground automated water sprinkling system. Instead, to properly water the course, sprinklers and hoes must be repeatedly set, moved, and put away by some of the grounds crewa tedious and laborious task. If over the next 12 years you project annual savings of about $40,000 from having an automated system, what is the maximum price you would be willing to pay today for an installed, automated golf course sprinkler system? (Assume an interest rate of 6%, and you may ignore income taxes). (a) Redo your calculation using a 10-year time period and $48,000 in annual savings. (b) Redo your initial calculation one more time using $50,000 annual savings for the first six years and $30,000 annual savings for the next six years.