3. The Bay City Parks and Recreation Department has received afederal grant of $600,000 to expand its public recreationfacilities. City council representatives have demanded fourdifferent types of facilities—gymnasiums, athletic fields, tenniscourts, and swimming pools. In fact, the demand by variouscommunities in the city has been for 7 gyms, 10 athletic fields, 8tennis courts, and 12 swimming pools. Each facility costs a certainamount, requires a certain number of acres, and is expected to beused a certain amount, as follows:
Facility | Cost | RequiredAcres | ExpectedUsage (people/week) |
Gymnasium | $80,000 | 4 | 1,500 |
Athletic field | 24,000 | 8 | 3,000 |
Tennis court | 15,000 | 3 | 500 |
Swimming pool | 40,000 | 5 | 1,000 |
The Parks and Recreation Department has located 50 acres of landfor construction (although more land could be located, ifnecessary). The department has established the following goals,listed in order of their priority:
(1) The department wants to spend the total grant because anyamount not spent must be returned to the government.
(2) The department wants the facilities to be used by a total ofat least 20,000 people each week.
(3) The department wants to avoid having to secure more than the50 acres of land already located.
