The school system has been given a grant of 6 million dollars to expand its service facilities Four different types of facilities have been requested by parents and students: Gymnasiums Athletic fields Wi-Fi hot spots Student lounges The following table shows the demand for each, the capital cost, the monthly maintenance costs, and the expected usage (students/week) The school board has located 50 thousand dollars in their monthly budget for maintenance although more might be found.

The school board has set the following list of prioritized goals and weights: 1. The total grant must be spent (weight=100) 2. The facilities should be used by 20,000 or more students per week (weight=75) 3. If more maintenance dollars are needed, the additional amount should be limited to 10 thousand per month (weight=50) 4. The board would like to meet the wishes of the students and parents in terms of the number of facilities, however this priority should be weighted according to the people expected to use each facility (weight=25) How many of each type facility should be built ?

Facility Maintenance Usage Number ($1000/mo) (students/week) Requested Capital Cost ($10,000) 80 Gymnasium 4 1500 7 Athletic Field 24 8 8 3000 10 Wi-Fi hot spot 15 3 500 8 40 5 1000 12 Student lounge Facility Maintenance Usage Number ($1000/mo) (students/week) Requested Capital Cost ($10,000) 80 Gymnasium 4 1500 7 Athletic Field 24 8 8 3000 10 Wi-Fi hot spot 15 3 500 8 40 5 1000 12 Student lounge