California Tours is planning a group bus trip for the following candidate cities in the table below. Also included are the total costs for the group to visit those cities on the tour.
|
City |
Cost ($) |
|
San Francisco (SF) |
5000 |
|
Oakland (OK) |
4500 |
|
Palo Alta (PA) |
3600 |
|
San Jose (SJ) |
4100 |
|
San Mateo (SM) |
3500 |
|
Concord (CO) |
2500 |
|
Santa Cruz (SC) |
3200 |
|
Monterey (MN) |
4000 |
To plan the trip, three prioritized goals are listed below, in order of importance.
P1: Avoid spending more than $15000 for the total trip.
P2: Visit at least 5 cities.
P3: Include San Mateo in the tour.
a. Formulate a goal programming model that will help to determine the number of cities to include in the tour.
b. Find the optimal solution using Solver. Use Pre-emptive goal programming. (Provide a printout of the Answer report and the Excel spreadsheet formulation). Also include a managerial statement that describes verbally the results.
